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{
"metadata": {
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"signature": "sha256:0d6cec8428c42be839832b08cbffae47bbb34cabb8643b9e4f0dbac014f577de"
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"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Analizando Series de tiempo sobre los conteos en entradas en las estaciones de Ecobici"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from IPython.display import HTML\n",
"#To hide code from the nbviewer render\n",
"HTML('''<script>\n",
"code_show=true; \n",
"function code_toggle() {\n",
" if (code_show){\n",
" $('div.input').hide();\n",
" } else {\n",
" $('div.input').show();\n",
" }\n",
" code_show = !code_show\n",
"} \n",
"$( document ).ready(code_toggle);\n",
"</script>\n",
"<form action=\"javascript:code_toggle()\"><input type=\"submit\" value=\"Presiona para ocultar/mostrar el codigo.\"></form>''')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<script>\n",
"code_show=true; \n",
"function code_toggle() {\n",
" if (code_show){\n",
" $('div.input').hide();\n",
" } else {\n",
" $('div.input').show();\n",
" }\n",
" code_show = !code_show\n",
"} \n",
"$( document ).ready(code_toggle);\n",
"</script>\n",
"<form action=\"javascript:code_toggle()\"><input type=\"submit\" value=\"Presiona para ocultar/mostrar el codigo.\"></form>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 47,
"text": [
"<IPython.core.display.HTML at 0x1eedd9b0>"
]
}
],
"prompt_number": 47
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Notas:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"El siguiente material y sus t\u00e9cnicas son lo que he desarrollado en lo que va de la semana. Cabe hacer notar que no est\u00e1 terminado, esta semana le he dedicado m\u00e1s tiempo a entender e interpretar las t\u00e9cnicas que se aplicaron aqu\u00ed que a su implementaci\u00f3n. De cualquier forma es un paso importante para proceder con lo siguiente.\n",
"\n",
"Unos puntos importantes que destacar en este ejercicio:\n",
"\n",
"- El tratamiento de datos se realiz\u00f3 con el conjunto entero de datos\n",
"- El ajuste del modelo y las visualizaciones solo se realizaron con la estaci\u00f3n 1\n",
"- Los gaps que se miran en las series de tiempo se deben a la eliminaci\u00f3n de d\u00edas festivos y fines de semana. Para este punto de vista me gustar\u00eda conocer su opini\u00f3n acerca de si lo correcto es removerlos o dejarlos.\n",
"- La se\u00f1al que se trabaja en todo momento se interpreta como los conteos de llegadas a una estaci\u00f3n por hora, a lo largo de 4 a\u00f1os.\n",
"- Las horas de actividad de 12:00 a 6:00 no fueron removidas. En la siguiente iteraci\u00f3n tengo pensado remover esos conteos bajo la creencia de que el modelo puede mejorar tras hacer esto.\n",
"\n",
"As\u00ed tambi\u00e9n la siguiente iteraci\u00f3n se tiene pensado entregar regresiones sobre estaciones que aparecen en las secciones de head y body de la diversidad de rango acompa\u00f1ados de su medidas bien conocidas en evaluaci\u00f3n de desempe\u00f1o en ambos."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"import seaborn as sns; sns.set()\n",
"\n",
"import statsmodels.api as sm\n",
"from statsmodels.tsa.tsatools import detrend\n",
"from statsmodels.graphics.api import qqplot\n",
"from statsmodels.tsa.arima_model import ARIMA"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Primeramente es necesario cargar y limpiar los registros de la manera que se ha realizado anteriormente, removiendo todos aquellos d\u00edas con una actividad sospechosamente baja en conjunto con la eliminaci\u00f3n de todos aquellos registros que est\u00e1n etiquetados como cancelados:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"path = r'D:\\ownCloud\\Documentos posgrado\\Posgrado 2do semestre\\Seminario investigacion\\Experimental Data\\Cd Mex\\Movilidad\\Hist Ecobici\\ecobici.csv'\n",
"trips = pd.read_csv(path,\n",
" parse_dates=['date_removed', 'date_arrived'],\n",
" infer_datetime_format=True,\n",
" low_memory=False)\n",
"\n",
"trips = trips.loc[trips['action'] != 'C ']\n",
"\n",
"# Find the start date\n",
"ind = pd.DatetimeIndex(trips.date_arrived)\n",
"trips['date'] = ind.date.astype('datetime64')\n",
"trips['hour'] = ind.hour\n",
"\n",
"# Count trips by date\n",
"by_date = trips.pivot_table('bike',aggfunc='count',\n",
" index='date',\n",
" columns='station_arrived', )\n",
"\n",
"by_date.drop([col for col in list(by_date.columns.values) if col > 275], \n",
" axis=1, inplace=True)\n",
"\n",
"# add a flag indicating weekend\n",
"by_date['weekend'] = (by_date.index.dayofweek >= 5)\n",
"\n",
"by_date_weekday = by_date[by_date['weekend'] == False]\n",
"\n",
"mavg_wd = by_date_weekday.sum(axis=1).rolling(window=20,center=False).mean()\n",
"mstd_wd = by_date_weekday.sum(axis=1).rolling(window=20,center=False).std()\n",
"\n",
"black_list = by_date_weekday.sum(axis=1)[by_date_weekday.sum(axis=1) <= mavg_wd-2*mstd_wd].index\n",
"\n",
"by_date_weekend = by_date[by_date['weekend'] == True]\n",
"\n",
"mavg_we = by_date_weekend.sum(axis=1).rolling(window=20,center=False).mean()\n",
"mstd_we = by_date_weekend.sum(axis=1).rolling(window=20,center=False).std()\n",
"\n",
"black_list = black_list.union(by_date_weekend.sum(axis=1)[by_date_weekend.sum(axis=1) <= mavg_we-2*mstd_we].index)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# remove those values on the blacklist\n",
"trips = trips.loc[~trips.date.isin(black_list)]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"El siguiente experimento pretende realizar una regresi\u00f3n sobre la se\u00f1al obtenida de la transformaci\u00f3n del conjunto de datos que contiene los registros de actividad de todas las estaciones de Ecobici en una matriz de conteos, donde en este caso las se\u00f1ales son el conteo de bicicletas entrantes de la estaci\u00f3n $e$ en un periodo de tiempo de una hora a lo largo de los 4 a\u00f1os que comprende el periodo de los registros capturados.\n",
"\n",
"Como se ha mostrado con anterioridad, el comportamiento de las estaciones durante el fin de semana presenta un comportamiento diferente con respecto a entre semana, es por eso que para fines de homogenizar la se\u00f1al, el estudio solo se enfoca a d\u00edas entre semana. Las estaciones que se obtuvieron con una ID que no corresponde a las estaciones conocidas en el programa son removidas de este."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"by_hour = (trips\n",
" .set_index('date_arrived')\n",
" .groupby([pd.TimeGrouper('H'), 'station_arrived'])\n",
" .station_arrived\n",
" .count()\n",
" .unstack()\n",
" .fillna(0)\n",
" )\n",
"\n",
"by_hour.drop([col for col in list(by_hour.columns.values) if col > 275], axis=1, inplace=True)\n",
"by_hour = by_hour[by_hour.index.dayofweek < 5]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"by_hour[[1]].plot(figsize=(18,8),title='Tendencia de conteos de entrada por hora para la estacion 1');"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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D2Fa3bduGu+66C506dcKRI0cwYcIEDBs2DHq9HmfPnrWZhqv7BdDa4bZXJ5Yc7S/PPvss\nsrOz8de//hVz585FbW0t6uvrzdqCo3Jwtr/fcccdyMnJQXp6OgAgKysLaWlpuOuuu2xuGxERBRc+\nmUBEFIYsv+jevn17rFu3DvPnz8f69ethMBjw5ptvon///khKSrKbzuzZszF9+nQ88cQT6N27N266\n6Sav0pswYQLmz5+PESNGQAiBESNG4KGHHjK+BvHAAw9gx44dGDZsGHr06IGhQ4ciNjYWRUVFZh+O\n69mzJxYvXoxJkyahQ4cOxsf+W9IYM2YMxowZA5lMhm7dumHVqlVWeenbty8mT56Ml19+GTKZDL17\n90Z8fDx69OiBf/zjH/jnP/8JALjiiiuwfv16m+Vq+vef//xnxMfHQ6PR4D//+Q8WLlyIv/71rzAY\nDLjlllvw9ttvo3379li7di3mzZuHFStWQAiBiRMnYsCAAbj55puRkpKCxx9/HB06dMA111yDUaNG\nma2vXbt2WLNmDd577z0IIdCvXz90794dQPOj9O+9957xDnNUVBTWr1+PDh06mKXRo0cPfPDBB1iw\nYIFxyNDly5ejd+/edusNaA5WTJw4EVFRUbjxxhvNfhs7dixmz56NHTt2oHv37njkkUeM7WD58uV4\n5513kJCQgGuvvRa/+93vAAAjRozAnj17MGLECHTv3h2PPfYYdu/ejaamJqs70h06dMCuXbuwZMkS\ndOrUyVif48ePx8KFC/HUU09Br9fj9ttvx9SpU23WlSsc1Y9lux45ciSmTJmCo0ePolu3bnjwwQex\nceNGm+n27NkTy5cvR3FxMXr27Gl8AmPKlCkYN24c4uLicNVVV+HRRx9FYWGhVf6HDBni0n5hupyj\nOjHlaH+ZOnUq4uPjsXz5cshkMkyePBm9e/fGHXfcgVWrVmHixImYMGEC3nzzTZvl4Gx/79GjB1as\nWIHZs2dDo9EgMjISS5YscRq4syfQI7oQEbU1MsFnxoiIiChIFRYW4qmnnkJaWlqgs+KRpKQkxMfH\n47vvvgt0VoiIiCTl9WsOVVVVePDBB5GXl4eMjAwMGTIEo0ePxujRo42RZyIiIiJP8Y4zERFR8PHq\nyQSdToeJEyciJycH69atQ0pKChoaGvDSSy9JmEUiIiIiIiIiCiZePZmwaNEijBw50jhMUnp6Og4c\nOIBRo0ZhxowZdoctIiIiIiIiIqLQ5XEwYceOHejRowfuu+8+43BKf/zjH/H2228jISEBffr0sfnB\nK0s6ne0vHxMRERERERGRd0a8uQsj3twleboej+awY8cOyGQyJCYmIjMzE9OmTcO6devQo0cPAMDQ\noUMxb948p+nU1Hj/9EJcXAzk8nqv06HQxTbQtrH+iW2A2AaIbaBtY/0TwHbgjCdlExcXY/c3j4MJ\nCQkJxn+PHj0ac+bMwWuvvYYZM2YYhwbr16+fp8kTERERERERUZDyOJhgy5w5czBnzhy0a9cOcXFx\nmDt3rpTJExEREREREVEQkCSYsHHjRuO/t2zZIkWSRERERERERBSkvBrNgYiIiIiIiIjaHgYTiIiI\niIiIiMgtDCYQERERERERkVsYTCAiIiIiIiIitzCYQERERERERERuCelgwuTJ46FQ1Lk139tvT0RB\nQb6Pc+aeRYvmITX1hCRpbdmSgPj4OZKkRURERERERGSLJENDBsqJE8fdnm/x4pW+yo7Hpk6dGegs\nEBEREREREbksJIIJjY2NiI+fg0uXiiCTReAPf+gLvV4HAJgw4d/47LNPkJSUioSEz6DT6VBTU4Ph\nw5/A2LHjjHfpJ0z4N5YsWYnXX38F8+Ytxk039cWuXTvw9dfbEBkZidjYHpg8+W1cc00fxMfPQXR0\nZ1y8mIOKinL89rfXYe7cBejYsaPdPDY1NWHp0gUoLi6CQlGH6OjOmD17Hvr0+S0mTBiHrl27orCw\nAE8//XccOLDX5O+/4cCBffjb355DVlYmVKoGTJr0NgDg+PEkfPLJBnz00ec4e/Y01q9fjaamJkRE\nyDBmzP/DoEGDodPpsHLlEqSkJCM2NhaxsT3QpUsX31cKERERERERtVkh8ZrDoUP70diowqeffoGP\nP/4fZDLgxRfHAgBWrdqA3r17Y/v2zZg5cy4+/ngj1q//DBs3fgqFog7vvDPbOF+vXr2NaZ48mYIt\nWxKwevVH+OyzzRg69FFMm/am8ffs7EwsX74aCQlforJSjv379zjM47FjiYiJ6Yr16z/F5s1fo2/f\nm/H119uNv3ft2g2bNm3H3/72nMXfzwMAZDIZRox4Gnv3/gqdrjlQ8uOP3+Kpp55BfX09FiyYi1mz\n3scnn2zCggXLsXTpAlRUlGPHji9RXFyEL774CitXroVcXi5BiRMRERERERHZFxJPJvTvfzs++mgt\nJkwYh4ED78Zzz72Aq6++5vKvAgCwcOFyHD16GL/8shv5+XkAmp9o6Nq1m9l8LY4dO4o//3mo8ffh\nw5/ABx8sQ1lZKQDg7rvvRVRUc/Fcf/0NTr/N8OCDf8ZVV12Nr7/ehuLiYqSlpeLWW/ubbYPlNlm6\n6qqrceONf0Bi4iH86U8DkZqagunTZyMtLRVVVZV45503IUTzdkRGRiI39wJSU5MxdOgwREZGIjIy\nEo8++hiys7OclCgRERERERGR50IimHDllVdh27adSEtLQWpqCiZOfA0TJ06BTCYD0Bw0GDPmH3jg\ngYfwxz/egccffxKHDx+EMIsfyMzSFOY/Xp5mMD4V0KFDh9YlZTKb85v65puv8N133+Bvf3sef/nL\nMHTt2hWlpSXG36Ojo83mt/y7xRNPPIXdu79HVVUVhgx5EB07doTBYMB11/0eGzZ8ZpxPLq9AbOwV\n2LVrh1neIiNDokqJiIiIiIgohIXEaw47d36F+fPfw8CB9+Df/x6Pu+66Bxcv5iIiIgI6nQ4FBQVo\nbGzAK6+8ikGDBiMtLRU6nRYGgx5A8118nU5rluZdd92DvXt/RW1tLQDghx++Rbdu3XHNNX08ymNy\n8jE89tgIPP74k7jmmt8iMfEwDAaD2+kMGfIQsrIy8f33O/Hkk38FAPTrdxuKiwtx6tRJAEBubg5e\neOHvqKqqxN13D8JPP/0AjUYDjUaDvXt/8Sj/RERERERERK4KidvYw4Y9gbS0kxg16ll07NgJv/nN\nb/Dccy8gPz8Pr732L6xbtxaDBt2Pf/zj7+jZMw633fZH3HRTX1y6VISrrroaQ4Y8hNde+xfi45ei\n5QmFgQPvxvPPv4A33vg3hBDo3j0WS5Z84HEeR44chcWL4/HTTz+ia9duuP/+B3DsWCIAGJ+gaOHo\n73bt2uHhh4fi5MkT6Nv3FgBA9+7dMW/eYqxd+yE0Gg2EEHj33bno3fs3eOqpZ1BcXITRo59H9+6x\nJq9/EBERERERUTg6eq4U7aMiMaBvr4DlQSacPb/vY3J5vddpxMXFSJIOhS62gbaN9U9sA8Q2QGwD\nbRvrn4C21Q5eXrgPAPDptIclnddSXFyM3d9C4smEYPH666+gsVFlNk0IAZlMhjVr/otOnToFKGdE\nRERERERE/sNgghvWrPk40FkgIiIiIiIiCriQ+AAjEREREREREQUPBhOIiIiIiIiIyC0MJhARERER\nERGRWxhMICIiIiIiIiK3MJgQIOnp5zBhwrhAZ4OIiIiIiIjIbRzNIQA2b96In3/+EZ06RQc6K0RE\nRERERCShwvJ6HD1Xhmcfuh6REeF7/77NBhO278vBicwKSdMc2LcXnnv4BqfzXX11H8THL8X7778r\n6fqJiIiIiIgosN777AQA4Iaru2FA314Bzo3vhG+YJIg98MBDiIyMDHQ2iIiIiIiIyEfUWn2gs+BT\nbfbJhOcevsGlpwiIiIiIiIiIyByfTAggIUSgs0BERERERETkNgYTAkgmkwU6C0RERERERERuYzAh\nQH7zmyuxfv2ngc4GERERERERkdsYTCAiIiIiIiIitzCYQERERERERERuYTCBiIiIiIiIiNzCYAIR\nERERERERuYXBBCIiIiIiIiJyC4MJREREREREROQWBhOIiIiIiIiIyC0MJhARERERERGRWxhMICIi\nIiIiIiK3eB1MqKqqwoMPPoi8vDwUFhbihRdewKhRozBnzhwp8kdEREREREREQcarYIJOp8Ps2bPR\nsWNHAMCCBQswefJkJCQkwGAwYM+ePZJkkoiIiIiIiIiCh1fBhEWLFmHkyJHo1asXhBA4f/48BgwY\nAAAYMmQIkpKSJMkkERERERGFtka1Dh99m46iCmWgsxJ0DqRdwvdH8wOdDbKQeLYUOw5d9Pl6UrPk\n2Lwn2+frkVqUpwvu2LEDPXr0wH333Yf169cDAAwGg/H3zp07o76+3mk6sbHRiIqK9DQbRnFxMV6n\nQaGNbaBtY/0T2wCxDRDbQHDb9msWjp0vR3p+DTa/P1zy9EO5/jf+nAUAGPPUbQHOSeiTsh188sM+\nAMC4v/3Ro+VjYjq6lJ81C5vX8+ITt6J7TAe31uHO9kq9j3gVTJDJZEhMTERWVhamTp2Kmpoa4+8N\nDQ3o2rWr03RqalSeZsEoLi4GcrnzwAWFL7aBto31T2wDxDZAbAPBr6auEQCgatJKXlfhUv/hsA2B\n5Kt24Gma9fVNbi1bWaWEtknj1jrcSd+T7XAUgPA4mJCQkGD89+jRozFnzhwsXrwYJ06cwMCBA3Ho\n0CHcc889niZPREREREREREHK42CCLVOnTsWsWbOg1Wpx/fXXY9iwYVImT0RERERERERBQJJgwsaN\nG43/3rRpkxRJEhEREREREVGQ8mo0ByIiIiIiIiJqexhMICIiIiIiIiK3MJhARERERERERG5hMIGI\niIiIiIhC0safs5B0rizQ2XBJdlEtVu84C41Wb5y2+dfsAObIOwwmEBERERERUchpVOtwIO0SPv7+\nfKCz4pKFX5zEyWw5jp0vN07bk1ocwBx5h8EEIiIiIiIiCjlCBDoHnjEYQjTjFhhMICIiIiIiIiK3\nMJhAREREREQ+F6p3kYnINgYTiIiIiIjIb2SyQOeAKEiFWMSNwQQiIiIiIiIiPxMhFjywxGACERER\nEREREbmFwQQiIiIiIvKbEL8ZS0SXMZhAREREREQ+x28lUKBodQas/PI0zuRWBTorTlXUNmLp1jSU\nVjW4vayqSYtl207hQnGtD3JmjcEEIiIiIiIiCltncqtwJrcKK788HeisOCaTYcuv2TifX4NPf8xw\ne/H9aZeQnleNBQknfZA5awwmEBERERGRz/H1BgqUUPrQof5yXg0G95c1+HkzGUwgIiIiIiK/4esO\nRM1CJ8RhG4MJREREREREFLYYwPINBhOIiIiIiIgoBIX6vf3QxmACERERERERhTE+muALDCYQERER\nERERkVsYTCAiIiIiIp8TfCSdCED4vJzBYAIRUZjJKqxBfEIqFCpNoLNCRERkAx85J2nsTS22mnb4\ndAk++PI0DCbDQQbtBxgtogq/nCh0bTGTbZvz2QlodR6MIykBBhOIiMLMos1pyCmuw94U6xMsERER\nUbj45nCe1bTPdmfidG4V5LWNAciRd3Yfcy2YoNG2Bg8KyuuRWVjjqyw5xGACEVGYCtooPBEREZGP\nyez8OxwFavsYTCAiIiIiIiIitzCYQEREREREROEr3B9NCBAGE4iIiIiIiIjILQwmEBERERERUXgJ\ngY9HhfpwqQwmEBEREREREYU4f4dPGEwgIiIiIiIiIrcwmEBEFKZEaD85R0RERE5ckisxfUMS8koV\nfl3vzsMXsXzbKb+u020mF0IyD+7ZF1coXZpv/a5zeHnhPlTUNrq9DsfML+QMQmBBQip2Hy+wu0RS\nepnVtKzCGonz1YrBBCKiMBP8bwgSERGRFL48kIvymkZs+jnLr+v9NjEf5/Kq/bpOf9u2P8el+ZIz\nKgAAH3+XLsl67QU+6lVaXCiuw5f7c+0uW1qlspq2fpc0+bKFwQQiIiIiIiIKL6HwAcYQf4qUwQQi\nIiIiIvK9EO84UQgL/riCUSiN8MBgAhERERER+U0I3DAmCgLBv6MwmEBERERERERhK/i75aEpytMF\nDQYDZs6ciby8PERERGDOnDnQarUYN24crrvuOgDAyJEjMXz4cKnySkRERERERBTaJP5YQqBejPA4\nmLBv3z4CffJmAAAgAElEQVTIZDJs2bIFycnJWL58OR566CG8/PLLeOmllyTMIhEREREREZHrTJ9G\n8OjVmlD/OqIfeBxMeOSRR/Dwww8DAC5duoRu3bohPT0deXl52LNnD6699lrMmDED0dHRkmWWiIiI\niIiIKOj4Mfbg1kcaffiOh1ffTIiIiMD06dMxf/58jBgxAn/84x8xdepUJCQkoE+fPli1apVU+SQi\nIjcxnk5ERET+cCy9DP/54DDqlOqA5eFMbpXZ355cBykbtZj44WEcOl1i9jjDxA8PQ9modbhsbonC\n4e9b915wKQ/nLlZbTatWNGHSqiN2l6lSNFlN0+r0Lq3PGx4/mdBiwYIFmDJlCp599lls3boVvXr1\nAgAMHToU8+bNc7p8bGw0oqIivc0G4uJivE6DQhvbQNvG+m8lkzU/mdc5un2bKpe2tK1kG9sAsQ0E\nt06d2gNovlHqi7oKh/p3dxvat2/uzkW1iwzI9res86Pv9gEAzhfV4ckh1/s9HwDw+e5M/Pme64x/\n97iiM+J6dAYAdKtUGac7KqezKUVQqLT4fHcm7vhDnHG6QqVFgbwBD97Zx2EeLNOOielonPbLiSLj\n9C6Xp2t1BrtptWsXYVx2z8lLZr/17Gm+nqT0cjw7tK/ZNJUOuOHKGERGtAZFpG4jHgcTdu7cifLy\ncowbNw4dOnSATCbDhAkTMGPGDPTv3x9JSUno16+f03RqalRO53EmLi4Gcnm91+lQ6GIbaNtY/+Za\nIvENKk2bKRe2AWIbILaB4Kdq1Bj/LXVdhUv9u7sNGo0OAKDT6gOy/ZbrVCrVAasHg8G8Y15d3YDI\ny9Pq6hqN0x3lr76+dT6N1vzOvqK+yem2Wf5eb2cZ5eXpOr39YIJWazAu26DSmP1WWWmepk5nXf81\ntQ2Qd4yE3tD6jIYndeMoAOFxMGHYsGGYNm0aRo0aBZ1Oh5kzZ+LKK6/EnDlz0K5dO8TFxWHu3Lme\nJk9EREREREREQcrjYELHjh2xcuVKq+lbtmzxKkNERERERBS++E0fCgkczcEprz7ASERERERE5Aof\nflSeKCT5I17hy/2OwQQiIiIiIiIKWzJGsnyCwQQiIiIiIvI5PjRO/uR1/MCXEQgv05YFyXM+DCYQ\nEYUtXrYREVHwCY5uUHjhGd+x0Gxz3tWqP16hYDCBiCjMBEu0mqgtuyRX4uWF+5CSWRHorBCRj33x\nazb+88Fh6A32h/kLNl8eyMHrKw5Cq/NfnrMKa/Dywn3ILKhxe9n3PkvGh1+dwYyPj2HdznMuLSN5\nXzqIIzZCAMVypdm0pVtP+Xy9DCYQERERSexAWgkA4H8/ZQY4J0Tka3tTi6Fs1KKhSRforLhs97FC\nNKr1qKxr9Ns6dx3JAwDsvPx/dxSWK3EqpxKlVSqc8CRI6+J9FrMbMiE2msO+k5fM/m5U+749MphA\nREREREREoS0kv7IoTcAiUGEPBhOIiIiIiIgorIRiaMEeb7ZF5sMgC4MJRERERETke6H11DiFkaD7\nnpTEr1A42jrhw9c1GEwgIiIiIiL/CbJ+HUknrOJFIfnahH8xmEBEREREREThK8TjAsEapGEwgYiI\niIiIqA0KsQEL/CvghWM/AiKCJLzAYAIRUZgK+DmQiFzizvusvnz31Z/rCCVSl4evy7ct1V9b2tZQ\n1FI/VvVk8betehRCBOR45+9OurNNlKIMfLlFDCYQEYUZvuJHFDpSsyowdtF+ZBfVOp23Ua3D2EX7\nsW3fBZ/l59DpEoxdtB/FcqXP1hFKGpq0GLtoP74+mCtJemnZcoxdtB9ZhTWSpGfpWHoZxi7aj7xS\nhU/SDyaX5EqMXbQfh06XBDorZMf4lYfw8sJ9GLtoP2qVauP07OI6JGeUAwCq6powdtF+/HS80GzZ\npVtPYdLqRPdW6GbHu7xGhbGL9mNPSpFL85+5WOVefiQwfuVhfPDlaavpXx+46NLy5/OrUafUSJ0t\nIwYTiIiIiAJkx6HmC8K9qcVO5y2qaO7g/5zs2oWvJxJ+yQIAHEsv99k6QkleSXOn/IekAknS++Zw\nHgDglxO+qcNt+3IAoE10sJMut9GWNkvBp1GtN/47o8A8gPbVgeYA3ZncSgDA9v05Zr9nFNRA0eC7\nTjAApGbJAQCb97QGaB2N+nD8vP+Pi41qHU7nWgcx9p50fs4AgN0WQRqpMZhAREREREQ+FyzveVOr\ntlIjfGjTNxhMICIiIiIi8hI7rAFm+Z6ntxXC90adYjCBiIiIiIh8ztEj5ES+FKwtz9UnQ4I1/wwm\nEBEREUktWK/8iIhMcUQM+1g2TjGYQEREREREFMrY723TAvVGBoMJREREREREIShUH4Ly+03/MP/+\nQaAeomAwgYiI2iy9wRDoLBCFLdP9i/taeDMIAYPBeW/G3mgObB/WXC0TWyUqZXkKIfxeP4FqD75a\nr6fpurJPtXA3lqA3GIz/eYPBBCIiapP2phbjlcUHUFBWH+isEIWdmno1Xll8ANv35+DcxSq8svgA\nkjP8P0a71yS+mRmuN0enb0jC5DWJLs9v+iHGjIIavLL4AJLOlfkiayGpWK7EK4sP4Kfjha4vdLlI\nfzpeiFcWH0CxXOnSYs46oQu+OIlXFh9wPR8OyFzYAYQQkq3PbN1Ofj9yphSvLD6Ag6dLJF3v4cvp\n5hTXmU0/nlHhdNmCcveuT9QavdU0W9udeLY5Ty3/fb470631mGIwgYiI2qTt+3MAIDQ7OERBLudS\n84XzT8cLsTe1GACw+5gbHaMwFa7fc5PXNkHRoPFo2YOnLgEAvj2aL2GOQtvJbDmA1vOUO1qWaUnD\nW5adYKccNHLhwg7gz33END+f/pgBAMguqm2dQYLoX0t6iedKbU6X8lsXlXWNLs33bWKe2d+HvAig\nMJhAREREREQhKZgCNEGUlaDn76d0PFpfMDWuIMVgAhERERFRGGkLfaBwfWUEgH+jEn5aVzhXlz8E\n6y7NYAIRERERmbH3obw2J9SKgT02ClKWu5IvAl6WzV/GHcLnGEwgIiIiost48R3SQi344YVgfPqC\new/5SrC2LQYTiIiIiEhSrnxojXwnWF8B8Mnd6CDdVm9IUkzcBYNKuB4SGUwgIqI2LUzP7xQkwvUC\nss0Iw45qUGC5Bo1AH6ICvf5AC/VXyhhMICJykcEgoNMbAp0NkgivZSnUGAyhfdFJvruLrtVZjy9P\nzgWy3LQ6vfEJHkf5kCKPWp0eOr0BeoM01zCO8qSzc5ySAZC5sAOEeufa3WtFqQLOgbqmYTCBiMhF\nb607iv+35ECgs0FEIUTKzuPiLWnSJeZjpp2G7Mvj1Id6JyFYHTtfhnFLDyIlsyLQWfGr5IxyAIBO\n71m7qlWqMW7pQXz2Y4aU2XJJnXHdmTh3sQrjlh40+930NaFxSw8it6TO43XlFNdh3NKD+H9LDmDy\n6kSP02lRVddklV9TXx3I9XodnhIAks6WuDy/s+BGjVLjdh5m/Pe4nWtF63aqbNT6vv1ZbOK3iXmQ\n1zZJljyDCURELqqpVwc6C0REIadRrQt0FsLa3pRiAMDB0653ogJOgrhSZZ13HaKCsnoAwOEzpd5n\nxt11lysBAEfOluLIWefrT8uu9HhdJ0yCTPUqrdXv7n7fxJvAhj/8dKzA5nRXnoqwVFLZ4PYy5dUq\nm9NtPbBRVq1CSpbc7XV4Y+fhPEnTYzCBiIiIiCTFDzCSLeH4sURf8KTjG+yC8Yjg1+OUH1YViFbD\nYAIRERFRgAXjhTZJr63HWNr69rtKik6uqymEY+CiLQrUrsVgAhERtW28uCUi8i/2X6UX5OeyQFR5\nW4uTBKIJMJhARERtUxu7yKDgxuYYnGQhWjN8AqDt8LaFhtMrSY7KIuCBhUCv30eiPF3QYDBg5syZ\nyMvLQ0REBObMmYP27dtj2rRpiIiIwI033ojZs2dLmVciInJDGF0fEBGRK8K0w0LhS/ImG67XPs4K\nKkDb7XEwYd++fZDJZNiyZQuSk5OxfPlyCCEwefJkDBgwALNnz8aePXvwyCOPSJlfIiJyIuDRdyIK\nfeF6QR5gPD4HD180cX5/wHtheyMkTLfL49ccHnnkEbz//vsAgJKSEnTr1g3nz5/HgAEDAABDhgxB\nUlKSNLkkIvIzvcEAtUYf6GwQkQuEEFA1NQ95ptMboNZy3/UU+0LBQdVkezhNtVYPnd7g59yYC5V9\nTNWk8/oRfoMQdoc2lSJ9d1m2C4NB2K0LT4dkFQ62GQC0Ouv2Z5kH18qleR6d3vG8UpWzrXx7ylG7\ncIuEzUfYSczXr2p59c2EiIgITJ8+HfPmzcMTTzxhVtGdO3dGfX291xkkIgqEGR8dx6vLDwY6G0Tk\ngtU7zuL5GT9C0aDB5NWJeHUZ992gFIJ35uxdoPtSbkkdxq88hK8O5Fr99uqyg5i06ojf82Rq0qoj\nQb+PFVUoMX7lIWzZc8GrdBZ9cRKvrzhk1VkuKKvH+JWHsH1/jlfpA8Clygarabb6zimZFRi/8hD2\nnyw2Tnvvs2RkFtYa/y6vURn//cuJIpzMlrudnzXfnMPrKw6hTqm2+fsnP2RYTbNsD6t3nHV5fVv2\nOq6j8SsP4X8/ZVlN33EoFycyK6wXsNN3Xrr1lMt5cmbZ1lN4fcUhu0E/n3ByKCosV9qcXq1o8kFm\nWnn8mkOLBQsWYMqUKfj73/8Otbq10TU0NKBr165Ol4+NjUZUVKS32UBcXIzXaVBoYxto26Su/4ra\nRrvpBn9bkwEQiI5uHwJ5lY6729ryOGqnNlZO4SjtQiUAoMkAKBubn1AIdJ126tSu+R8ymcO8REY2\n39fp0CHKrTz7avtarsO9PX50vaSwmhYVFenzepE6/W7VjZKmHRXVXN/t29uv7z0nLwEAfjxWgFef\nvd3q94YmndmyUe2ar6Pbt4tERMtxrVM7n5V1w+UOlCfnx06d2gMAImSt83bo0LyvREU63lccaVmu\n5f9JGc2dzD2pxXjjhTttLtNN3tqJt7feC8V1AID2Hdsj7opo4/SDZ8sAAD8nF2H8838yTu/Rowu6\ndm7vNL/dq1o7/Zfk5sGEuLgYRFukER3dHidzmo9zh8+W4blHbwYAFJssG9UuAhUKjdlyp3KrcEW3\njlbpm4qN7Ww2rSUAodIL3GAy3V4Z2ZqedqHSanpM105o3761zxcRGWE1T1xcjM0nbw6dLrGa9mNS\nAe68ubfZtIgI80jCFVd0QVxsJ7t57ty5g9VvzsTFxSCjoKb5j3auH9M6dmxnNa1792gbc9oW7UJe\n27Wz7lPbClbZ4um+53EwYefOnSgvL8e4cePQoUMHRERE4NZbb0VycjLuuusuHDp0CPfcc4/TdGpM\nImieiouLgVzOpyDaMraBts2X9W8r3eBva83ha5VKEwJ5lYYnbaDlaTqVSt1myinc1da2XlMEuk6b\nLgc1hEE4zIv+8oWzWq1zK8++2j7D5btf3h4/FIpGq2k6nd6n9eKLc0FdnbRtSnf5UWuNxn59N6ha\nO4T25jGdrrt811yj1cNwuQKbmrQ+3wc8OT82NjZvmxCt86rVLa8oOd5XnOXFtP6VJnfV7aVZV9fo\ndJ4WVdVKyPStTyc0NNhOv6pKCbXKutPoaN2W5PJ6NKrMgwIqlQbqy4/V63QGm/nVaQ2orzdPV63W\noVGltUrfVE1NA+TtrR9Wr61tNJvXXhlVVFgHDm3NX69ohMbk9VGDjfqWy+tdfo1HANCorV/7MFVd\nrQR01k8PtKzXtB5dZZrnmuoGREe69hpBU5PWaprpOcsZlQt51Xnx+pGjfcBRoMHjYMKwYcMwbdo0\njBo1CjqdDjNnzsTvf/97zJw5E1qtFtdffz2GDRvmafJEREQ+FapDvhH5BXcPACF2nAjbL9eFjlAc\nZjEEs+xYuG1PkPM4mNCxY0esXLnSavqmTZu8yhAREREREbkohOIdfhPiZeJpBz/sAgNOhNLoGYH4\n/oo/ePUBRiIiIiIiopATwL6dPzv9QdPftsqHDwrB39vqTuHa2txgqRsvMJhARBSmwjUKTkREJnio\ntxIGfbTww3YalhhMICIKO7yMcgWDLUQUVkzukgbr4+7Bmq9gI2UxhWuZ2/2eSShdArlTN0G6XQwm\nEBGRkd5gQL3FV6TDXUh9YI18StmodflL4vYoVBroDd6l4SqDQUDRxvbXYNek0aGithGGyz24usuj\nCtQp1XY/zlfXoDH7zZsjUih+ANCUo3JyJw1LtvaVJq31V/5dYTAIKBps73cKi7r0BX++tuDLbdHq\nvDtOCgibZaE3OYbrDdLn3zTfCjfaa5MXIy0EMwYTiIjIKH7TSbzx4RGobAxhFK74hAIBzR2E/3xw\nGNM3HPM4jXqVBhM/PIIlW05JmDP7Vnx5GhM/PIKaeveHNyPfeG35IUxbn4Q1O87i0OkSTFqdiGXb\nTmHS6kT8kFRgNX9BWT0mrTqCz3ZnSrJ+xeVhAKscDD0YSI46wuXVKkxanYifkgs9Tj85oxyTVifi\n5+Qis+lLt6Zh4odHUGcSBPjo2/MerWPp1jT8cqLI5m+zPkn2Kv+ukKJ/f/ZilZ20zRPf/OsF478T\nz5Z6v2ITCpUPrjMEcPpCpfHPxZvTbM6Wklnh8SrGLT1g/PeSrafwzeGLLi2XmiX3eJ3BjMEEIiIy\nyittHi+6Vhn+dzv5REL48eYuWssdrCpFk8dpVNY1L5tdVOtxGu5Iz6sGAJRVuz5WObnJw8NE2oVK\nHD9fDqC1ng6dLrGa70Jxc1s5ckbajlqxvEHS9PzJm7Jo6SRa7seZhc3lLK/1PsjSkpY9ruTf+dMF\nvg1yn8lpDSaYBtQtD6F7TxYb/33Ciw54oNg7np/Mlq5jv//kJcnSCkUMJhARERGROT6w4zVPH0dn\n0QefUAg+23vKLnhHc6BwwGACERERUSiT8L3moOl4hAGZg8IM8U8bkM9xR6TQwGACEREREZEtXnT6\nbcUS2noXkUEUV/mvoPxWJz5Yj6OAHfkHgwlEREREPuLq9bM319nsnwUny0fjhXCtrtpC98hnfUB2\nLoOalNXjzasnYXvMDED7ZzCBiChche3ZUlq8U0Y+wT5Nm+four7lN0kPPzyYkQUB280iXEYxstrF\nQuy461Y9BGmVMZhARBRmeGPGRSwn8iU/XvgF6TVmmxdhcTD23d14F6dRyHAUFwrZc7zE+Q6XgEio\nYzCBiMgFVXXuDxfXpNGZjWkd7lRNWigbfTButJtq6tXQaPVepSGEQIUbQ4jpDQaP2og/abR61NSr\nJUlLbzCg0oNx7D1dLhQYDMI4NKQpV6+fnc2nNxjcyk95tQqVEgyDJyV/Xfo3SHks8nHHzTR5gxBu\nDV1oPE7ZKliJC1ut1aNWKc3xo4W8thEGN56maCkfR8f4UO1nS8HWY/96vQEGQ2A63Vqd++dhd8/d\nrm6ZO+3MnxrVbmyvHxt3ZV2jy+ecKB/nhYgo5JXXqDB9wzG3l5u46gg0WgM+nfawD3IVfMavPAwA\nAd1etUaPN9ckome3jlj86iCP09l5OA/fHc3HuCf74e5bejudf82OcziVU4n3/3U3ru7Z2eP1+tKM\nj4+hSqHG+jcfQPt2kV6ltW5nOk5myzHn5bvQp1cXl5dbvzMdqdlyvDdmIH7bO8arPASbz3/KdGl8\neU+t35Xu8rynLlTiw6/PAADm/etuXBWkbdJXJgTBsQhw/w7yjoMX8eOxAlwT59o+9WtKMbbuveBB\nztw3bX0S6ho0+OitByVJr1Gtx9T1SXj4T1e7vMxX+3PxU3IhAKBnt46erTg4+5RucadfnHah0mra\nubwqj1bkbn/83U9PuLcAgKkbkrDEjXP3yWy5S/Nt+dX2flKrDOwNn5Vfng7o+m25JFdi1ifJuP2G\nnvjP3/s7nZ9PJhAROVEib/BoOY3WvTuJ5D2VWgcANu8QuyMpvQwAcPaiaxddp3KaL9iKKuq9Wq8v\nVSma7yo2efnUBtB6AVdQ5t72prYsVx585eTto8O+DCQAQGqWg4tmi4v88/nVxn8Xy5U+yhE5Y/ml\neWedscSzzW3I1TpLyayw+5vUfeaWp+z0emlTPnS6xOV5D59pndfbY3y4cqXDn1VYa/9HCe9+l1er\nzCe4kLc6H3XuD56+ZHO6O08CtRWFFc3Hn5brGmcYTCAiIiIi8qMgfera5/iee3AwrQWzthhC1ePN\naA4kHQYTiIiIyCPsGAQH1kPosOz+sOak5auPE4bsRw/9wOU2zDIMSwwmEBERkWfYEyJymc87pOzx\nkotMWwqbTfgIRFUymEBEFKa86ee1hYuLNrCJPsdYAhGFlDA48If7+dnVV4D4RFZwYDCBiCjMhPl1\nBhH5AS/TpSeEdbn67HjdVj/KQG5ri01FtMWN9hEGE4iIiKjN47VlM6k6t+FSnr7q7Etyd5mR47AV\nLvuPv7X1XUKKZuNuGTKYQBSGmjQ6VNSonM8oMZ3egJJKz4ZRDCblJmWn1upRXuP/oYMq6xqhatJ6\nlUZmQQ0aLw+VCAA19WooVObDLtU1aFCnVHu1Hk9odQaUVjluK+XVKqglGMbQGwaDQLFcybsYdrTF\nchFC4JJcCb3BtaFfPSkhvcGAS3IlDKK5/RmclbMHt7vrVRrU1Dvf92vq1cgqrIFO7/1Qt4FqLmqt\n3nqYOheZf/W++S9bx1J32Rra0FnxaHWO66Csyr/nfVvHRlf3C2cuyZXILqo1Ox9LlW6oH7ccZd/V\nR//tzeWoXVdIMIxiozqw53RLUgQfGpp0zmeSgMHgvG4D0bYZTCAKQ7P+m4xpG46hwcvOqLs+/u48\nZv73OLIKa/y6XikpVBpM33DM+Pfcz09g+/4cv+fj7XVJeOPDI16lkV9Wjxkft27Lm2sSMdEizUmr\njmDS6kSv1uOJD786jRkfH0dheb3N36sVTZj+0THM35jq55yZO3a+HO9+koyk9LKA5iNYhfYluWdO\n51Rh1ifJ2PRztsP5Mh2N5e7Exp+yMOuTZCzdkoZ3P0nGL8lFHqdl79ryjQ+P4M01zvf9N9ckYtHm\nNGz8Kcut9QbTe93zN6Zg+kfHXAqeOHL0XPNxwNax1F1FFc0BKXf2oaVb0xz+XqWwDlD40rufJOPg\nqRKzaQm/ON4vXFFapcKsT5Kx8IuTmL7hmFlQ3Fv/+ykLiWfdP57nlijs/lZrEZCXBajxexp8Nw1A\nTDa9HrDYjvJqldd1kVdqvxzdZevYVqu0HQwJ8fgRAODbxHyn81worvN9RiwwmEAUhlouKJQq/wYT\nTmRWAADySm13EEOBwuJEVOrnOz2m9C5EoZ2xd2INtPT85oDTJTtPsrS04WK50ud5ceUiI6PAtQAZ\nx712TTCWk6vX/xeKm4MEzgJM3rTdlk5rS0DiTG6lw/n9cZ0cygG1YnnzccbbzrarxwFX6fXu1Vwg\nOgrOnMurNvvbF+1E6hsj5wuqnc9kwV7gG4BHQSpnhxtPPi7YpPH9HXIpAzsUHhhMICKiNimY7pwS\nUdvgt8OOnw5w/nysWrJV+TjLof4aRTiytzuwprzHYAIREVFbwqsncsBe82D/KPg4DBeETIUxqusu\nyeNEodJUKCgxmEBEREQUwhz1Gz3teHjbXwmZvqwPuVKG3pSzoyJm8dsnddlYtvVAfTPBLcLmP33K\n9dfb2HoDys3my2ACEZGpILgGCIZHJIMgCz7XFraR2qZg/CZFUPBgn/dVZ5/c50of3ZWOfFCcYwOd\ngQDw5DsQFPwYTCAiosAJgmuLULiJJCkJt7etFV2gOO/7+H5HYkdACtZlGOql6na/PNQ3uI0LgjgM\nBRkGE4iIKOjwziqR54Kh49/mgnQuEnb+HTZCYKOk7hD7ZH/zIEnhznLcP0kiDCYQUUhr0uhw8ZL5\ncFlqjR4FZa4NT1lUofR4qKO8UgU0Ho7rLJViuRKqJi0MQuBiiQI6vUGSdP3WEbCznvIa20Ny5pdZ\nl7mqSYt8G2NXy2sbUe3CUHC2Liwtt9/bYTrrlGq72+SMq9sRCI5KRW8w4GKJAgYXrtxrlWpUeFg+\n9lwsUcDgYb052o981VcqqWqAsrF5CDx397/Mglrklng/bGBlbSO0OteOIU0andlxVqvTI69UERSP\nkPuKu4fFEquhb2UoqnAwZKiNslNr9cgvsz6+OctPvZ+Ghrasb43OYJwmhEBeqQJanf3zpDvnLEdN\nS6PVI6eo1qU6speMxkFZu3Ot4IvTp0anx6XLQ5wWVShxobjW5X3VFr1pudspEL2NurE1nHNZAIfQ\n9lat0v1hPckcgwlEFNIWJpzEG8sPoLSq9QS3ZGsa5nx+AsWOLtoAVCuaMPvTZLz3WbJxmqsXARkF\nNXj/fylYt/OcJ9l2yNVLcWWjFu9+kox3Pj6OI2dKMW9jCrbvz5E8P4HwyQ8ZVtOyCmsw9/MUrPnG\nvMxnfZKMCUv3o65BYzZ96vokTFl71O463OmwHUsvd2k+e2lOWp2I6RuOub5CE862I1jtPJyHeRtT\nsDe12Om8k1cnYpqH5WPPvI0p2OPCulvUmowVv22f8/1I6g7DJXkDpqxN9GjZn5ILMX9jKupsXBi7\n07d/e31S63JWCZn/uWTLqebjrLz5OPvxd+fx/v9ScPZitdvrDSXudODKqs07WVUeBAVX7ziLuZ+n\nIKfY/WCRL4LdlnfhbVXz0XNlAIDTuVV4/38pNo/nUlu78xwmrTyIzMIar9KY+3kKsmykcSa3CvEJ\nqS6l44umvyelGBW1jca/FyScxGc/el6uh06XOp1ny94LVtNWfnnaatrM/x53aZ22njg0vXbzJZ3e\ndq0Ulju+TiTnGEwgopBWeDlgIK9tvUi7WNJ8Z8HyQs5SzeULb9NlXVVU3nxH7nRuldvLSqVe1dx5\nVjRokF1UCwA4daEyYPnxtZY7emcvmpd5zeVOYL1FMMEb4doR8qfTOc31lFng+cW9t9xZd62ytf2c\nuiD3RXac0mi9e7LIMqDmS3mXnwYqr27u4KRkNZdZQblrT4UFghSPo3tzN9gT6XnNwZmWoI07tBI9\nqZXARloAACAASURBVOaunMtPC7Y8MZacUeHzdZ65fC423Y/tsnOAb0nD3tMjLU8GWPLktTxnS7jS\nUk9k+rZcS/3wxEFFTaPzmciv3G3PDCYQhTH2h4j8i0EI1/jqNZrgLP+gzBQFiVB/dT0U8+9sj3T/\nm5LBsY97WhfBkn8KTQwmEBFR2OBH3yg8eNeQffEB03DobgTjh11DvVxDcjAHH2ci+FpZcHA1aBGc\nQeG2w93gEoMJRBS22lLHMmRPvqGabyIib7lx/OOhkmXgDMuHAoHBBCIiU8EQgfD2iiAINiGU8BFP\nAtgO2oJwq+NAHOqD8ekOdzltBSH5uEUzV7ISsjcfKChFebqgTqfDO++8g0uXLkGr1eLf//43rrzy\nSowbNw7XXXcdAGDkyJEYPny4VHklohARLBdszk6Y4XBRFPIkrAL3W539lQdDTCmcBePFrO/y5L/G\nFIzlGlZ4XHCJo3bYFoow1HZDfx03eM0VnjwOJnz77beIjY3F4sWLUVdXh6effhqvv/46Xn75Zbz0\n0ksSZpGIiIgkI+WFo6NOQ7heN4ZYTyG46iHECs9SkGU/yLITMoST3nNQlKsnmXBxmeA6JgQGA6/2\n+W00h+HDh+ONN94AABgMBkRFRSE9PR379+/HqFGjMGPGDKhUvh9ShIhcU1nXiEseDC0VKlpOjgaD\nsJrmKrVWj2wvxqj2Ba3OtXHCPRk2TEqqJp3P0s4proOqSetVGtlFtUjJrIDe4HyotMraRofDhao1\nemQV1ji9IA0mhgDmNc3GcKXZRbVoVNtvMw1NWuPwcqaKK5RISi+DWuPafuFTPrwg9/ZiP79MYfx3\ny9CpeoMBGfnVSM+rhlrrvPyUjfb3uYKy1uEfK+vMh3YrqWxAVZ37w+1KReHm8JiNap1xaN1qRZPd\nYQFtkeIYYFrVCpV3xzlHaVfWNuJSpe2hDUOBQQiHxwxHLIfz1Nho/zqTYTS9bb8lJuWs0xtw9Fyp\n2T4TbFw5HviKP4ezJd/wOJjQqVMnREdHQ6lU4o033sDEiRPRv39/TJ06FQkJCejTpw9WrVolZV6J\nyAtvr0vCrE+SA50Nn9ufdsnjZf/73Xls+iVbwtx4xvQ1kY0/Z7m0jDsXwL6wZEuaz9KOT0jF/E2p\nHt8tqqhtxMIvTmLtznP4IanA6fxvr09y+PuGb9OxaHMaTuVYd5KD9Y5P4tlS478LK/x/UatQmV8w\nHjlbilVfn7E7//yNqYjflGrV+Xn302R8/N15rN91zif5bBFsYSJ383OhuDUQs21fDgDgl+QiLNl6\nCsu2ncInP2Q4TePImVKb07U6PeZ8fsIq/RbHz5fjrXVH3cyxdN52c93Lt53Cwi9OIudSHaasPYrZ\nn7p+nkzPr3Y3e57zMnDx9vokzPrvcYky06rJT4G9Y+llHi+7bd8Fs7/T861vGnxz+KLx37+mFNlN\nK69UYTXNVs20nJO/OXwR//0+w2yfCTZrv2k+ngYi6Pz57ky/r7NFSQgH14KJx685AEBpaSnGjx+P\nUaNG4fHHH0d9fT1iYmIAAEOHDsW8efOcphEbG42oqEhvsgEAiIuL8ToNCm1sA9auuKIz4uK6mE3z\nRzl16dzB7/XRrVsnxMXFoLiy9Ymorl07OcxHTWPrXY64uBikXZC7tK64uBh07tLR7G9n87tDb3KH\nJD2vxu7yahvn/cjICMgserSWy9tKz3JabGxnt/JdUN7aQXVnuZiYji7NX1qlQpcuHRyuIzY2Gt1M\n5jGKbD3H5JcpjctGXC6m6E7tXcpDyzwtQYQaldZqua4xjtucN/uFN8uW1bTeaWvSS3cccFR/UVGt\n9ys62CjjzMJau22zrLp5P9ZBZjP907lVNqd3j402+7t9+yiXt7WivjXgERERYXe5TtHtAQAyme28\nWYqQOS7vyEjz+zpxcTFWDz20a2d9nWRv++3t3/kmAcdTJk+LuNNe4+Ji0GDjiQVbaXTt2tFqWlRU\npM/PDRqTu9CW6+rWzbp8ckuaO4cqre3lups8pdSxUzv07Nl6Tq1r1Hu1PT17dkFnW8csG7rEmJdn\nXFwM2rd3fBnfo2cMunRqZ7WcN0y3HwD0Qlil2alTu+bzZGfrY3ZHi/wAQIcO1tNM9biiC8rPlXua\nZWQU1lpNs8zzhUsKh7+3aNRZn3hju0dbTdOI5jRM0zVNs1tVo9UypvPZKidLlsHriAgZYmKs9ztL\n0ZePYS3U2uZ2rDf4Nphg65hgS0+JjxG26rJDhyho+Q0HMy3l1LVrndU0RzwOJlRWVmLs2LF49913\ncc899wAA/vWvf2HmzJm47bbbkJSUhH79+jlNp6bG+1ch4uJiIJcH7+ND5HtsA7ZVVzegvUXM3B/l\npGxQ+70+6uoaIZfXQ61uvdBVKJoc5qO2tvX4I5fXu3z3Ty6vR4OyyexvZ/O7w/RRfIPBYHf56mrr\nqLpeb7B69NZyeVvpWU6rqWlARw+fXXNne+ud1JEppVLtcB01NSro1NYdHdN61mh1xmVbrptUjRqX\n8mA5T0OD9XKK+kaHaXmzX3izbKPJayLKetfL3Jl6pf20dCaduurqBnSwcd3mrG227Ne22JpeV2t+\nTaHR6FzeVtN24mi/a7z8lIUQwqW0DcJx3ZkGDwHbxyKtjceQbaVZW6OCvIN14EEur4fG7BFxYfab\nPbbqx9YrTTbrQmHdWdLp9D49N1he+Fquq7ZWBbncvCPVor7e9jHdtE01NWlRWdkalGlw0P5dUVmp\nNDuuOaKsN3/0Xi6vh1bj+LH/qsp6NHY075R6W/6m2w8AOq31vtLUpG0+TzZYH7MbbQSj1DaO26aq\nqpXG/c4TlvuYaX6M81i8UmivnBT11u26tta6L6O4fOzSmey7Zu2qzn7/Ry6vR2Oj8+21fJDAYBBm\n7dgelY2ylMvrzV4T9QWFwrXXR6Q+RthKT63Woa7OfkCnLWopJ9N6apnmKKjgcTBhw4YNUCgUWLt2\nLdasWQOZTIZ33nkH8fHxaNeuHeLi4jB37lxPkycikoCTjywF27PMbrJ8AoE8FOLtwG1h3GxCfZ/2\nVrCMpBO2Qqx4/ZJdG8eTlv1Q0nOUz49bYXxgJPIhj4MJM2bMwIwZM6ymb9myxasMERER+QMvHX3L\ntHxDLfAVWrkNThwGTlpBG8cI2oy1cqUlenOIslkEfmj+IXZYpRDhbrvy+AOMRBT8Qulr874Rmmda\nb6stpC7iQyirFN7cPl768PAazIfuNt2BCbFtD7HsOhRS5zU/CebjBLUdDCYQUVjw5DKjTV8UU9sl\n5QWog7SkWU0QXi27fdzw3zawc+G5QJWdV6ehIDiJ+evVGl9vqqvJuxvUCIIqIjtYN9JgMIGIyBP+\nOgvxbOcWlhb5nB/6Tr7Y7f39qomtTma4xTqk2J6QLxN3NyDkN9gGH2yTR8EtF3dxBh3DsxkGCoMJ\nROSRnEt1qJT4S7gGg8CZ3EqoNXpodXqczqmEzuQrzOfyqtDQpEVGfrXVuPVGJifT8wXVUF7+cnSd\nUo0fkvJR7eLXhJ0pMfmitS9fJ1E0aFB4edhFvcGA0zmV0Nj4srsjeoMBSec8H6Pbp7wsuosl1mN+\nh7OswhrUufj1d2e0OoPVPuaNakUTcorrnM8oocq6RuRekn6dVQoXytiLvnlheT1Kq6Qf49zVceJN\nZ1M0eP6VfHdptQYcP1+OtGy50+NmrVKN7xLzUCtRe7dUrWjCz8mFdn+/UFxrdb7IKzX/Knzi2VLj\nkMIG0Xz+ckdtg+vbZllcGfnVTpfJKLAeErGFQqVxKQ0AHh8jgia460ogzQeZzS9ToKKm9TqprkGD\n0qoG4zndW1ab5eX5tFiudD6TF1RNjkftaCHVOY78g8EEInKbTm9A/KZUvL0uSdJ0D58pwcovz+Cz\n3RnYujcHH3x1Br+cKAIAZBfVYvm205i0KhFLtp7Ce58mO01v/8lLWLT55P9n787DpKju/fG/e1aY\nBWaAAUFEVBjULK65yo3rTfw+xiz+sueJS3I1ucm9N7lJvImaGKPmGjfURA2KATWKCxpAURTjBiIw\n7DDMDLMwMwyzz/Tse/f08vtjmGG6u7q79jpV9X49TyLdU111qurUqXM+deocAMAty7dj3ce1+PWT\nO3RJ69bilol/T56z3Qh3P7cHAPDe7gY8tvYQ1nxUDUA6iCFVZ3p/TyNWbjxsaBpNIVFRuveFvSf+\nLKMhZecnMt39Pjz48gHc/vROXda3fmsNHlt7CBt31Omyvl8/uQP3vbhPMthlVKPi1qeK8KfV+wxZ\nd2O7cRXru5/bgztW7tJ9vR8fbFb8mz/IKEvHlR/rVrz+ydp7hvH0m2V4Yn0J9lS0J1z2lr9ux+uf\nHMUtf92uaZvx/PrJHXj1eFkKRJadw74A7n9xf8z9orkjMgDU6B3EE+tKAABFpa34yz8OKUrDbzVc\ny8vWHIxJT7Tlr5egrUt6CsJ7ntuDZWsOoinJOgBEBF2cOmOIEWMy/PHvezE4aSrV3/1tJ+5YuWvi\nnq5VIKjvudArXfGsfq9K1nJ63ePIHAwmEJFiRs1FXH+88n64rhuVDWNPVOpaxp48e3vGovvjT0h6\nBuQ9TWvyjlWUjGxEtsSprOnt6PFjUdUQ/2lTot+RNLVZw+ynbv3He+P4FPZMiTa+v1UNY0/0a3XO\nH+MVXBGeSmrpNdTVb93TMbXJVvPEU0nPhPZu/cq6ZA1hK/kDyp/ENxgYfIpnvOddIr1xzm/38fzd\nIyOfW90DzJTBF+W+IiDzjiGV5mFfYPICRI7AYAIR0ThnPnAhsp4NKs527rUiIo6+T6KQlRN1vv6t\n6sHBWbzkYwmlDwYTiIjIOgLczdUmwbZVNisqmyo3yXrxcXIPhE0HhxSBW/OaXV5bECXfMUhGFInB\nBCIHM3v07glW1E0cdH/XXKl10LEgUkLfose6RpYoDadoSo6IXRqpJD475iWtQQcjZ3Mg0hODCUQk\nNFOrECpvxFZ1K5QbLBK1YQJA/xMs9M66mEWnRUlAVaSso7pIEWgfnEqkfKIHuzxp15JOWedMw2EQ\nJtgRtvAhErkWgwlEJI5J92Mn3Q6tfofRVd13XbWzpCf5bxIInMcETpptRTXOnFbECJ2fnSzJYVcT\nEwjD+voGuQ+DCUQOZtebitRNlMF2Moo9rxKFJpcF0ReTGe/Zq/2dwNe9XZ7oEpnPFaVqYhqLB5tW\n3+yFRbguGEwgIkMdPNKB3oHEU0+NBkLYU9EuOT99InoGS0YDIdn1n66+Ed22q0RF/diUkMn22+dP\nfhx9/mDSed7jGRoJYG9Fu6opQtt7hnG4rivm+2FfAHsq2hEMKZ+Sbdy+Si+GJk+9lYSSZYHYafHK\njsbux+G67olpTK00MDyKvRXtknllvP6kpKFe19qHY62x0w7WtcZOGTexXsEraqFwGJ8casbW4mbN\n090muiaDwTBWvlWGdol8caimU94GRImqWNjA8Y2OlVn7KtvRc/yeMjA8in2V7RgcGZVVJjV540/f\nGO8QVzfKm4pXyRSbZvIHEt8P+odGsb/KG5GHu/pGUFIrM29K2FrckvS+r0R797Aw5YnsSzHJtSJV\nHmjVN+iXNV2oFLW/s61wGL0ypxinxNKsTgAROdex1n48vu4Qpudk4M8/uyTucm8X1eHN7XWK13/w\nSIes5RoTVCDHbdwhf/u/eXKH7GXVia2FhMJhWTd7b09soEOq8vPi+5XYXtKqKnVPv1mGktpO/Ps1\nZ+LSz85T9NvbVxRJfv/s2+XYV+XFdVcV4gsXzFeVrrd21OEtmecxUaMintuf3olnb/+3ic9VDT3o\nG/JjWlbGxHdbi8cap5OXs8Jja4tR09SH//76p3HBktkRf1PTHvzj3/cCQMx+bS1uwQ+/dFbS36tt\ngxr5dG5vRTuee6di4vPsvKmqt12cICjgD4RQVNaGorK2mOP3l38Uy9uA3MQI0uAywqsfHsGWg80A\ngOnZGfjzzy/Bo68eRN2kIFdO7pSE61j9XhWuPF+6fIl3iF//5Kis9O083CZrObOt+7gWnz5tZty/\nr3zrMADgN987F2ctnAEAuPWpIoTCYSz7z3/FzOmRx1Ruj5w/Pr8Xl5+j7P4Qz8NrDqJw/nTVv2/p\nHEq+kAZqyqkX36vSPyEYO9/JSL3a8vjaQ0YkR2jPvF1udRIcgT0TiEgxuffN7v6xJxPJor/1bckb\ndlIVmLZueZH9eE+MJjey69tin7rGY8nDOZ03Wt0U+0RZror6bgBAqx4VtOPnoLJh7Olfc+eg9nXK\n0KvTU0Q5vUD0oqTCWnP8/E48/bL4ybaIbdzWrhP5V2te9sosi5zAqtc7JpdZ49dvXVRvmeYO5UFC\np5PqUSSlY1KPu9DxwmZwRMbT6jjZobvfp+uF39WvX08HU2h9zcHkmkZ1U6+p2yPnYDCBiHSn6y1Q\n9gO5+Hdu2ekRscUjQelozVKN0BRR9pXvhZKBlLwKFb2kKG8WEAlNYRlu9wEfOZYBUSQGE4hIMb3r\n2JKVdlbkI9i9AiabS3ZTDTZuKSleP7pIfKlZc5BFHVBZzFSZi2WzDfGk6YbBBCISjmQRn2SGh/HG\ntuRv5dZ2BKkV6V1nlJ4dgzdSu9EtX0StSJBsLxxB224uZt4J4aknJQwpK5gJjcUCPi6l9UMGE4jI\n8eI91Tfr3V89blm6Bxh0WIcht2IDTonUfTEc94N7MJykjjl1UP03olv8UKfR7EksUvdDtrdiOSEO\nz2ltSU8MJhARuZCWCpHdqiGurhBL7LsVh0P1bA66piLRdlRsyRPn3wawWecqchGz7gdOaMQr4rb9\nJdtiMIGIDCO3gp6oS1WiNci+1zqghq1/RUrQmorNzpXNkkuJCBV1EvT6dAlTj77MbCdS7pTLzblY\n877b8YSTKzGYQCSQYV8A20taMBowb7o5uVo6B3GwugMA0NCufvqtimPdONqSeFrCMIAmr7IpAvdW\ntGNHaYtke6B/WHp6q8nBDo/HI/S9e/J+hcNhFJW2xp3yMlogGLtnRg7mVVbXJX/h4zUuI586+UZj\nr6fJm/twfyPauofgGw1ie0lLwnV1q5iebNgXiPluYHgU20taEAyFFK9vspqmXhxp7In4zi+xv5Ml\nu/602nm4DT0D8o7Tvsr2iM9y87RcxTWd6Dg+PebQyFj5GgjGHnM13X59/uBEmWh04XGkUdu0ba1d\nQyfSqkB0Xuru90keKcnyROEhrWnqRVVDj+TfKo9PR5uMXlO1Kj2dHb32mRp0IM79UK7o6XvrE9QH\nXv/k6MS/l68vQXVTr+pLReSu+fHyrRb7qry6r3OcmvuY04hc3xOJVP0pGoMJRAJ5+f0qPPN2Od7a\ncczqpMS4Y+UuPL72EHz+IP60ep/q9Tz0ygH83/N7I76LriL0Dymv7GwtbsGqjeXYWxl7A1751mHF\n67NSsptcS+cQVm48jIfXHJS1vv0SlZKmDmXBGiUekZkuABM7Kye2ofbm/8oHR5Iu89und2LdxzV4\n5u3yhMvdt3pvwr9Lefn9qpjvVmwoxTNvl+OT4sTBi2T+tHof7n9xf8R30Z+jbS9pBWBcZWr1Pyvx\n4EuJ0zBu+eul8PacaIjJzdNK3LaiCADw3DvleObtcry/p0FyuejjEe/41E0Kxjy+9pBksMgMSuaF\n/93fdkZcY8GQvLP/5va6iM9v7aiTPC67yttkpyWeP63ehwfi5JsHXz4gax3/+DD5tS5LggJJ6i+3\nPlWkflsmtJEnNwj+uu6QdDJkpiP6/i3Xviov7tNQdzCaltOwfmutbukAgI6eYUMb/EVlrYatm5zl\ndRl5m8EEIoHUtfUDAFoMbOhpFdD4JFUtuTd6qaeO8dcp7pMOOZTsq1JOmu2htWso5jupBkGjjB43\nnX3KK3jj1/Vk4w3B9m79n2gek9heIkac6bao/Uq0jaGRE43xRq/6Xk/xjJ/r2uNBgBaJ/KBEb1Tv\niWAobMBBTN7Y7x3QtxeHlCaZ56OlQ9sxJWMFJ/VOO6IgCOWaKYkh1pPqwRFrApREQOTtTM49mcEE\nIjKM7MZ6gsXs0KQV6lVrM+m43w6KXYhFxnE1KvtOvv5Fv0TCSppNzKzyiH7SE0k0jo+d98vG3BTY\nILITBhOIiEgZtqUmCH8oEtS/RUm7qG1zQZM1ibsaV0bvbURjVcSIgYBJUkPtdWX3noRETsVgAhFZ\nLlEVIZxoIVFbIVpJTefnkIqk08g5LULkUmYgxaw9YkLkGk5JaQazD55NT5bRPRP0vuKcWj0hisZg\nApGAbHqvj8FuicfxMAiH9TyHUhk0UfTU05TADAsNszn5ybcTGrZOPj9EdsZgApFA7HCrNKQe7YSa\njsMknDrSAe0cB+wCCcSKEkzqEhWqA4rOB4V3CfXU5gsj8pPqVRqcAUS6dIjshMEEIrIFqacSolQu\nzamEuKOqY+VeCtUQI+PEO89yzz+Dn/LY+HoyNekys5NeabLxaSEiATGYQOQAJbWdiuYcN1pxdYei\n5QeHR1Vtxx8IJl9IwqadxwBETnlzUGGalZg8FV1pbSeONPZE/D0YCmHzgSYcrO4wNB3jmrROPWpA\nW6p/SF0eUKr8WLcp29l2qGXSpxMHrKNnGJ8UN0fU6Fs6ByXn/Q4EQ9i8v3Hi8+TXhqKXv/WpHfCP\nxl4PHxc3o6tvJHFik0RRpKbWlGVSPtm8vwkjfn2nO6tRWOaNz9u+raQFB6q8EX97d3d93N/5RoPY\nvL8xYgrLaHo20KLLB6VGVZSLuw63SX7fpWIqVLmKylrR1i0/b0Uf4/4hfafGrJ80pWpdS/zpVds0\nTi1qBb2PVbSjx6ddVUtW+W9wFETube3gEePv0USi6OrzYc2HRxIuw2ACkQP8+bVi3Ld6n9XJmHCk\nUbqS3zMgXTFN1MBL1N3+nZ3xGwCJ/GNLDRq9A3jm7XJVv4+WrBJy56pdE/9+9LVi3P/i/oi/by9p\nxep/VuLxtYfw+NpDkmNN6PnUfHJ6RDDeyEvKRl0Hnn2nXLKCfeezu/Hcpgr4A6GJ7+5YuQsr3zqM\njp7hiGU/2NuI1e9VSa5/5VuH0T6pIdbRO4KH1xyMWa69ezgmv02QWXv+3d92ylswgff2NOAfW2oU\n/2500nGK9icNZd4T60tiv4w6HuPBmTc+qcXq96rw0vvS50Jvcc+XLGG8u7tB8a+efrMMvYOxDU45\nc4yPb1cpb88Ifvu0+rz1t7cOq/6tlA/2nQjcPb7uUNzltOQ7LbTEcCXze/T6E03RnKQ3zv89v1dp\nkiKoDfLmTE1XvU21AZadcQJv0Ub86h52kEnsU52wVGvXEN7bk/iewmACEZnGp+HmKlWXGfapf9KZ\n6Cmj2Tp6kzw5drjJT6yd1IFcqsdNomsguvLp7R2Os+SYYV/k8vF6J3X2jVjTNT+qstbaqfyJbihk\nXY1vfNvj6W7W2qPHJO0KnvZPJtWzRWQNbfF7D9iKCVlcbd4VPX57fuEs1b9NFKjUQzAo+MEj0gmD\nCUREJAzbVb9Er22TKZwUBCMxGV3SJBxzl+UcEcXBYAKRg/H+bw5OFEekXqIu1KZOL2uzi0w6ueKE\nNWx2OMkszBhEjsJgAhGZR5x6rtBECAIle0cWMLmhJ7V9MQ6U1SkgspwIl6JtCVKESBVlVpfxEQQ5\nTkQUicEEIiJSRGqaTtIuWbXddg02mdlEz9xkxCGy22E3nMwDYnQpwfNCRGS9NLU/DAQC+N3vfoem\npiaMjo7ipz/9KRYtWoTbb78dKSkpWLx4Me666y4900pE5F4OrjnL6QVhZ6p3z6RzbnXWsnr7cUWf\nN8GyqRA9c8g8PN8SBLsoJxM4aUR6Uh1MePPNN5Gfn4+HHnoIfX19uPbaa3HmmWfilltuwYUXXoi7\n7roLH3zwAb74xS/qmV4iV2AlkdzEkvxuxiZ1rkxGByW0xmBs0cPE1CET7F/uejw2Oa9qRJ0ex+yl\nDbKd0wO+gP75yflHjGiM6tccvvSlL+EXv/gFACAYDCI1NRWHDx/GhRdeCAC47LLLUFRUpE8qiVwj\n9vYzNDKKd3fVY9gXQGvXED7c1zjR+BrxB/Durvr4a9PpbhYM6T+FUqfM6RCHfWP7KNJUjtHKjnYp\n/s2KDaXYfKAJgLxKhwgNnbbx/KdjWmpb+iI+VzdKT2+oN39Ap2nwEg6BPjZ/ekP7gKxVvburHttL\nWlB2tAvVTb3YXR45n3n0pg7XyZ+bfcvxvHZiXeG4U0kmIzUlq5ZpBRPl//f3NqKjJ/EUmXKEZASs\nGtsjp887fFTe8f3n7nrDp5mTskvmfPdy6d346R30y162rStyOsvJ08Vq8ezb5fBF5c1H1hxAWZ3y\nMttJpKZcNSsItTmqLJKrvTu2HFA7DSoQW55W6XzvOXxMfvlMZGeqeyZMnToVADAwMIBf/OIX+NWv\nfoUHH3xw4u/Z2dno708+B3B+fhbS0lLVJmNCQUGu5nWQvTkhD6SljcX3MjPTJvbnkZf3Ycu+Rgz4\nAthUVIdwGPjsktk4+7SZWLmhBG9urZ34ffQxyM/PjvlOzXH6585jE/+eOTNH1voKCnIxvW0g4vPo\npOjGw68exKo7rkq67Yr6HlTU9yAtVd+KTl5elm7rqmroSXpco/++u7wdu8vb8bXLFyErOyPib7Nm\nRR7jse+Mzd/R6ZsxIxsFBZHp+PFDmxGcVAmdOjUj4fmX48N9jfjWFwsnPjd6B+L+NjtnSsT61fZo\nKCjIxYevHoz5Pj1D+b1oxowcFMzKlvzb9OlZuGtl4qD61KwT576orBVFZa1xl83Pj8yzr22ujllG\n7nH3DoxO/DsjPU327woKcrFi/aGY717+Z0XMsulpkc8rMuIc3/wZkcdvclqOtvThvpf2Y/XdV8tK\nX9506eu6ujU2oJOdnRnxOfp4bitpwW0//BdkZIxVldLTUlBQkBtTFr1ddAx5OZHrikd++etBskfW\nB450xHyXlpaCKVPSZW4jUvR5iEeqfMrKyoj57tWPYvOnlIKCXPz4oc0Rn1dtKI1ZLjUqP6Wk+Bjf\nAwAAIABJREFUJH8etq2kBXNnR6a3rK4bZQoCcUbLkZl3Jpd/Wh2WaDjnTpsSkz/z8rJQUJAb99q1\nWkV9j+rfzpiZOL9rrVNuO9Si+rd5+frVT0j6XHYrCHa6xfhxmtaSvP0+mepgAgC0tLTgZz/7Ga6/\n/np8+ctfxrJlyyb+Njg4iGnTpiVdR7eGqOK4goJceL3KdpycxSl5IHD86ZbPF5jYn2PNY09u61v7\nJiLpza19KMjJQH1z5FPd6GPQ3T2IKVH1LTXHqbH1RMWjszOyUh5vfV5vP3p7hyM+d0263tu6hhSl\nJRDU98l8T4/2smeyZPsS7+9t7f0YirqpdXTENnw6OozN39Hp6+oaREZUYyYY9TRraMif8PzL1dUV\n+UQ43m8HB0YillEbTPB6+9HWORjz/ahf+dP1rq4BpIWln0r39ibPY8ND8is0cu6Xco97U8uJa3p0\nNCD7d15vP4619MZ8V98S2ziJflrvj3N8u7sTn/+efp/s9MU75k0S6Rsc9CVdn9fbD//xp+SjoyF4\nvf0ISpRFPQPJ1zW+PjnU5u1gIISRkdHkC0qIvg7jkSqfhhTk42heb39E2RIvPwWDkfkpJLPHXENU\n7yfRDMjMO5PLP60aJY5Jf99I7LXXPQRvVjp8Er2R7K5L4h4wmZV1yh4d2kZ0gtS5HBxWV0462fhx\n6u9T1htQ9WsOHR0duPnmm/Gb3/wGX//61wEAZ511Fvbs2QMA2Lp1Ky644AK1qyciokmcPIyGG97H\ndTyJ/Cn7rNosb9ssuc4RTvjRvmReKFbsr2OOMREZRnXPhKeffhp9fX148sknsXz5cng8Htxxxx24\n9957MTo6ijPOOANXXy2vWyIRuQObjKQnLRVdqd+6teKsZL/D4bB7D5RdCjC7pJOIiGxPdTDhjjvu\nwB133BHz/erVqzUliIjI7ZzcC0EKZy8xn+5HXEsDlo3fGOys4yKiFH8J8hx7jxFRPKpfcyAi8Vne\nRmP9g9zMTfnf6rKGXEf25eWm61BvvK7JqSyvIDsHgwlENma7hwW2SzCZwYqnXqZs0aF1FZF3y4y0\nmZF3rKjnil46i5zvzMC2DxGJiMEEIhtincI55LajWZEkSs71l4noEQGyJb6KZq4wSzKylLIbCYMJ\nRMKLf1Mx6/6+o6R10jYVbHTSogeOeF3dIn53V73sZY+1Wj+VWdnRLgBA74APNz3wEVZIzPt+sDp2\nnvtx+6u8sre1t6JdcfpKj3Yq/s24hvYByasqFFKeP/+6vgRvfFIr+bfufnlTvllB7qUo55is2FCK\n0WDsNH3Rv+0S+HjE09xxYvo4PdrpQyMBvLntqA5rsk5Hn35TFALyp9WMPv59Q+6a2m1Yx+kZi8pa\nY75zWxwqWYO9qUPeVKlkT+6tjeqPwQQim/BYeKtv70k+56w3yTJPrCuJ+a53UP3c5Hbz2uZqBGXO\ni75szUGDU5PcS+9XAQAeeuUAAGB3eWyDv707/jn/6/rY8x3P+q2RjfGG9th57IHIm/+jrxbLXn+0\nu57dLfl9dVPs3PbJNHoH8eb2Osm/PbepQvH6tBrQee7svZWR5z0MxEQidpe3S+aP+qjz2NZlwtzp\nOtcQ71y1S9f1rf24Bm/ICCYEVQS2tJK7Rb2PyYoNZbquz3Zk3trf2lGn2ybjlbF0gt75nATDaIJu\nGEwgEoidhxTwjwaTLxS1g0GJp5lOpq1jhjV3vpZOExqAUXx+GXmJJAVUXFOJ8uWgzsEJKSIXe1KH\nRks53aXzU30naO82v4wRisCNGid3t7fyAU0yIqeNKBqDCUQ24eSbuhVECtyIlBZb4SWhAQ+eUuNH\nzMVva8VlxjHhYbcOp4Y0F+t7ZCcMJhAJL/5N3O73d1bKx/A4yKPncbLjpSNKPhEkGZJEr4Sbcg7F\nPgQkKolCUZQyh4jExWACEZnGjg04UbipTid6g5Dcyenll5b903LN8qk3EZF9MZhAZEdsa2lmyTzu\nrDMLg5eQSjxwZDMsdmVKcG1zakgiiofBBCLhWT81ZMQ2zd+k48kJMrAuR3rSkp+Ezosip80EHngs\naT2LPGCcy7MEEZGhGEwgsgmRK2t2xF4C5ERCN/RNYMbus+wgR3JZvubrdET6SLM6AUQ0prK+W/bc\nz+u31qIgf2rSSq3UrbKyvhtLFuQrT+BxeyTmkweAUYkp6TYfbFK9HSfacqA55ruyo114c3ud+YmR\n0N4zHPF5/daapL+56YGPMCd/quTfiqs70DPgw+XnnqwoHVUNPZLfR1f+WBk0gc1azu3dw8kXUuhQ\nTScAoK61H+FwWOiATRhhbDvUYvp22zRM7xgKxR7QI429Md81dwyq3gapw9cbrNHZyylkjcb6g37Y\nM4FIEA++fED2so3eAdzz3B7DtyPlpferJL/fvD82cFBa2xXxORR2d2NQ6tg9+UapBSmR9uirByM+\nb9xxTNbv2uI04B5bewjPv1upOB3rPq6VtVyTV33jwl5NZJIrXvmklyaNDVqRy7yARKNern2VXtW/\n7R30x3w3MDyqen3ReK1rx0EyzbX8dXHqBU7FOJl+GEwgsqmARE8AK+lZ+SNreHv0f6prJH9A/TVg\nx3qECA1REdJgpVENec4MWl6H41NoIiJSGjtkMIFIQKzTEUngdeFMLnrqybFviIjISRhMILIJtz8R\n1JvdKvV8akh2y7MUi+U4iSpR+cL7DxHFw2ACkfDs0YCQ9U6lQPURVupjsbEqNuZZIjVYrhFRJMbH\n4lNaYjKYQCQ8B5V4rNOpZkYuEL2xGpM6DcllViRyC7HLNSIyn4verjMcgwlENuHIp8as45FFmPXI\nEkZnPA23CaeO2M9rXb3xp7dOzRtEpB2DCUSkC1lVDYFqdY4MzmjEY0LJhMN8f5rtKnIi1+Vrdxdj\nRLphMIHIQO/trsf+KvXzb0/m8wdU/7amqTfi86Zdx7QmJ6mjLX2Gb8NNWjTOby9HyKBGYkvnIF5+\nvwr+0aCm9UQ3YkV/LUOOHWWtlmy3rXto4t/lx7px4MiJcqqkthNvF9WZlhY5bZiNO+qw5sMjhqfF\naCMarwEjuT1IREREUNzDjcEEIgOt+agaf11fosu6qhp7ky8Ux59W74v4/I/NNYY1HMf93/N7DV2/\n2zz48gFd15ebla7r+hJZ9soBfLCvEVsONOm6Xie0ffoG/ZZsd93HtRGfn1h3opz682vFWPdxLUY0\nBDD1tn5rLd7b02B1MgBoy3fVGspxIrM5oIglkuSE+oMoGEwgcindezS6rYukzS2en2fatnoGxhrM\nw35tT2Vd/96uyZUfp1e2nJibUjhmgu3Y4TJzZK8VZnciXTCYQESmcWB1hEwUXaFl24dkk8gsTiyP\nnNjmIyIicTGYQETkQmyHkxyOySc6trJFDmIxlmA/AmcnIgdjaRmP0sG4GUwgEpyTnzQ5eNeIHMvJ\nZRIRxeIrMOQ0vI3ph8EEIpdiQUpm07s6qqVRywaxONhOIUPxWieiKLzt6IfBBCLB2aWiLSeZjhzE\niWzJLteVG5hSLPCEEyXkut4HrI4QSePUkERkCbdVRMh0jEWZT+qQ2/I0MPOQoETJmQz2k5swt+uH\nwQSiJIpKW7Fp1zFN6+gd8Kn6XSgcxtGWftnLN3UMRny+c9Uu9CTYdigcxkvvVaGqoUdV+gCgu1/+\nvhVXd0Z8vm1FEcqPdavetiYuj31UN3O+e7uRU/mpa+nTbXsHjnhjvquo74Z/VNsUn9Gi45BKyhS5\nostGLURuc2kp1pxaJJbUdiZfiKSJnNmJNGDWTkDhsWEwgSiJlRsP4x+bazSt46UPjqj6XW2zsobB\nw2sOxG77/aq4y1fV9+DD/Y144KX9itM27oV3K2Qv+9rm6pjvlr0Sm2YzDAyNWrJdUfQO+E3fprd3\n2PRtus0T60t0W9eqjeUx3z36ajHqWuUHONVQUqbI9dH+Jt3XKaJAUH0N2al168GRgNVJSMipQRwi\ncgcGE4hMMOxTV5kJBkOKlpdqIMfddhgIKFy/lKHj67dbhSgYcmrVWVwhjcc8+tdu65ZrxTVmxTaH\nVJaXBDg3JEBEpB++mZsAx0wgcg/XDZhE5GJsJhKRUVifIDdx2bMIQzGYQGRjbnsyqyfWm+yPlV/S\ngrmHKDHWMIgoGQYTiEiT8cqG3dp1NksuAXyUQLpyZm5iyWY3zsyHROQWDCYQCYg9DogoBosFIiIi\nMpDSkLTmYEJxcTFuuOEGAEB5eTkuu+wy3HjjjbjxxhuxadMmrasncgS1z4qM7MYdRpgPscjWGHRz\nJhZL6tmthxiJQyrrODk78e5BpI80LT9etWoVNmzYgOzsbABAaWkpbrrpJvzwhz/UI21EpIOElQE3\n302dXEtyKDdnVwCumc7B9eeZXEXkWxGvRSJKRlPPhFNPPRXLly+f+FxWVoYtW7bg+uuvxx133IGh\noSHNCSR327DtKLYWN5u2vd3lbXjto2rZyxeVtWLtlhpN2wwEQ1i18bCq38rpuVBW1y17fUr3HwCq\nG3uxeX8jdpe3K/oduU9RWZuu6+uXmApVLlt2arBjmgWmthHn1NPgHw1anQRXqm/vtzoJRK7Dno3x\ndfWNKFpeU8+Eq666Ck1NTROfzznnHHznO9/B2WefjRUrVuCJJ57AbbfdlnAd+flZSEtL1ZIMAEBB\nQa7mdZB4Nmw7CgD45heXJF1Wjzyw4oGPAAD/8c3PIj0qX0qtf+VbY8v/57fPTbjejIy0uOkrKmnG\njtLWyOUzx5Zv7/cnXG9mZuwlLPc4FMzKRXO3L+J34/v/o298Fpnp8q/L1e9VyV5WFNOmTdV1fXYv\ng+yQ/uzszIjP7+yqV72u1BSRnwdKy8vLMnT9UnkgN2eKodsEgBkzsiM+Z2RoqprIlhWVn+TIzpmC\ntFRx805amvpnRAdqunRMiXp2KIv0tL2kNflCAM5ZPAvFRzoMS8e0aVNjjn3e9CwUFORK1jXsLrrc\nkeK2vOhUUucxJYXDBkYbP05K6/S6lg5f/OIXkZs7lpCrrroK9957b9LfdHdr771QUJALr5eRXSdL\ndn71zgNe7wDSoyplidafbNt+fyDuMl0S14DfN7Z8T0/i62NkJPbJrNzj4O3oR2/vifVP/l2Htx8Z\nCoIJdtTXO6zr+uxeBtkh/YMDvsjPw4mDbYkEQ/Z7KpGsPNBKKg/0Dyh7QqFGV9dgxOdRf8DwbQLA\n4KAv+UJRenqGEAiKm3eCgZDq3/b1G3+u5bBDWWSF2dP1DYBH6+sbjjn2Pb1D8Hr74fOZc02aqTuq\n3JHCvOgMUucxFFJfVjqV2vyua1jmRz/6EUpKSgAARUVF+NSnPqXn6onsS8AHWeEwhEwXkRnsOFBd\n2IoO9uK2m4nIYLz8yamYt/Wja8+Ee+65B/fccw/S09NRUFCAP/7xj3qunohIPzZsTLpd9M3fw5NI\nFEFTBZmXExERKaQ5mHDyySdjzZo1AIAzzzwTr7zyiuZEEZE80QMw6jWejBsitmyIupsdx15iniVy\nL0t6JhERJcHRJ4jMwDoAEdmRJdNRmrNRhmaITrDjq19asFpGpA8GE4gkiXGbUXpzV1wZEGM3reGy\nipMTuH0qJ6c+mYyZ4tak86xmK05ucDl410gtZxY5RKQjBhOIzKCwlqb2/m1EHdyxDTiH7hYRGYev\nmhAROQDrgLphMIFca1+lF6s2HpZsLD+xrgTHWhNPkdLUETutUGV9N5avL8FoIBjxfd+gH4+vPYRG\n74CiNK7bUqNo+VA4jCGJ6SLjeXN7XdJl5M6BbTeDCo6TGo4NwhDpLPpaqWrstSglMniAti5jp+gk\nEsUT6w5ZnQQiEhyDCeRay18vwY7SVjR3xlYMS4924eE1BxL+fsUbpRP/Hq8MP/jyAeyr8mJ3eXvE\nsvVtAzhY3YHl60sUpVFNpfrDfY2yl61uirP+SXX7Z98pV5wGO/jn7gZD198sEWwiIptjjJAsMuIL\nJl9IZ/5AyPRtEpG9MJhAFOcJcrKbqD8Q/8YeUrlOPQRDrO3KEe8c6YUdE4jE5sQXFpy4T0REJC4G\nE4ji0NQYDLObO5HRnDogIZnDiblHyz5xPAgicgsnlv9WYTCByKUY6yCyFyuuWTY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SAAAg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\n",
"text": [
"<matplotlib.figure.Figure at 0xa6a1f98>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Del gr\u00e1fico anterior es apreciable las pronunciadas oscilaciones que tiene la se\u00f1al a lo largo del tiempo. Primeramente, la se\u00f1al oscila desde un punto m\u00e1ximo en cierto punto en el d\u00eda hasta cero debido al cierre del servicio durantes los horatios de 12:00 A.M a 6:00 A.M, horarios donde no hay actividad en renta de bicicletas. Adem\u00e1s conforme el gr\u00e1fico avanza en tiempo tambi\u00e9n lo hace la magnitud de conteos por hora. Es por eso que con el objetivo de suavizar la se\u00f1al y disminuir el impacto en la variabilidad se aplicar\u00e1 un log a los valores de los conteos, previo a esto a todos los valores se les sumar\u00e1 una constante c = 1 debido a que logaritmo de cero no est\u00e1 definido."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"logged_ts = by_hour + 1\n",
"logged_ts = logged_ts.apply(np.log)\n",
"\n",
"logged_ts[[1]].plot(figsize=(18,8),title='Tendencia de conteos de entrada por hora para la estacion 1 en escala log');"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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0ermkaT46dADeePYuu8vdeutgLF78M3788TtJ108IIYQQQgghhLgCDXNwg9Gj\nn4Gfn5+7s0EIIYQQQojLNKs02H0uEyXyendnxeNEpJYiOK7Q3dkgZmIzZDgTme/09aTclOPYtZtO\nX4/U2m3PhDeevYtXLwJCCCGEEEKI44JjC3ExrhAJ2TIs/+gpd2fHo2w5fh0A8OzDt7k5J8TY+sPJ\nAICxj//JqesJ2J8IAHjm4VvRo1snp65LStQzwY3a+lQhhBBCCCGE6DU0qwEA1Qqlm3NC2hJFowpq\njdbd2eBFyxhq603rf32Tyuh7V+fIMdSY4EY+Pj7uzgIhhBBCCCGEeCW1RotPVl/Ft79GujsrvGw7\nlYZZa6+hoFxh+GzmqqtuzJFjqDHBTf7whz9i06at7s4GIYQQQgghhHglpUrXI6GsqtHNOeEnNLkU\nAJBTVOPmnEiDGhMIIYQQQgghhLRZWsYQdOUG8svq3J0VuxSNKhy4lI2aeuHDgVRqLQJDslFW2eCE\nnFmixgRCCCGEEEIIIW3W9dxKnAjLxffbot2dFdsYw/7gLJyJzMeOM+mCf341qRinI/KxbG+8EzJn\niRoTCCGkDaIAr4QQQghpr8zvg5qVGjflRDh9jwS+gUqNt7W+SRfktKquWfqMcaDGBEIIaWOuJBbj\n/Z8u0TzehBBCCGnTfj1x3eKznecy8P5Pl6BSG8/w4B2B7zceTeW1nNaoAeH9ny6ZzAjhStSYQAgh\nbcz207pucZHXy9ycE0IIIYQQ50nIrrD47FJcEQCgqq7J8JmnTqJn3oMis6Ca1+9UKtOpMG8U1+oT\nlCRffFFjAiGEEEIIIYR4Ia2WIbOgGmqN1v7CEqpRNKNIprC/oIcQ05ag0fIr05p6Jc7HFLhkiGl+\nWR1qGyyHP+jX3cQxnMO0h4a0OjgtZUIIIYQQQgghTnMuugAHLmVj3JND8PfRd7psvZ+tCwUAbP3q\nWZetUzDj7ggiWhPORObzWu6ztdcAAGqNFi89PoTXb8Q0OzQrNfh+WzQ6+Plg7aejTL7TtiR4miPP\ney5kilgbP9QzgRBC2iiKwUgIIcST0HVJeun5VQCA1JuVbs6JZ/MR0ZqQns9vyIFeXKZM8DqEaFLp\neh2oNZYHkq1eEQlZlkNBpEKNCYQQ0sZ46LBAQgghBIDnjl8n4lVUN+J0RB60Wve1GNUorM9gwLfO\nMcZwJjIfZVUNJp+ficy3O4whp6jW5vdZhfwaJ7IKaiw+U2u0OB2RZ/U3zhzKYAs1JhBCCCGEEEII\nEW3J7jhoMtX0AAAgAElEQVQEhuQgKs19wZ83Hkmx+h3fxoTkG3IcuJSN77dFm3x+4FI2km841vtj\nya44Xss1qyzjHlxLKsG56ALD38xsoMTlhGKL3xhm9XJi4x01JhBCCCGEEEIIEa2qTtcroK7BPVMU\nAkBpZYP9hexQNOry38wRyNBd0y8CuiCPtlRz9MrgapSQGjUmEEJIG0VDUwlxn4YmFX49cR3FFfXu\nzgohxMnis2Q4cCnb3dkQJPmGHHvOZ7pkBgK9qrpm/HL8Oiprm+wvbOZ0RB6uJBbjeOhNhKWU8PqN\nj42/PIWUpW/e2BHcMkWmM7ecZnMghJC2xgfUkkCIm52KyEdYSimyC2uw9N9Pujs7hBAnWnsoGQDw\n8hND4N+1o1vyIPSyv/JAIgDguUduw8A+3aTPEIdd5zIQn1WBhiYVPp38f4J+GxiSY/L3iL/+UdDv\nfT2zLUFSJ8NMYypcSyrBey/f69R1Us8EQgghhBCJ6bvIurNbLCHEtbReOF2FKwMmNjardf9yDCFw\nBh+rf9j6jY/R/53ICXWlycqwBh8nRjwV1Jig1Wrx9ddfY8qUKXj77beRnW3anWf79u0YP3483n33\nXbz77rvIzc2VMq+EEEIIIW1KUUU9Vh5I5NXtV6tl2HAkBfFZzpt+7GZJLVYFJhrGDbd3Gq0W6w8n\nIylHmqnVSuT897cY+WV1WBWYaHd8dVugaFRhVWAibpbYjqBPXMv4EXn3uUxsOJKCtYeSoFK3Puhm\nFlSjUKYAoBvXv+ZgEjJaprjUOx9TgP3BWU7Na2OzGqsCE5FdaDl7AgDkltaZ/F1e1ejU/HDZfT4T\nl+IKLRo2knLkvH5fUd1oiGfhDIIaE4KDg+Hj44O9e/fi008/RUBAgMn3qampWLZsGXbs2IEdO3bg\n9ttvlzKvhBBCBPG+NySEtDdbjqUi+YYcBy/n2F02p7gGMenlhi7VzvDzvngk5chNooa3Z+n51YjN\nkGFVYJIk6f164jqSb8ixL9g54+vXBSUjKUeOY6E3nZK+JzkfXYCkHDmW7413d1aIFRfjChGTXo74\nrArEZpo2gm44rJt5ISK1FAnZFfhpj+l+3HshC2ejpDsPcb2dv5xQjKQcORbviuX8jXmj6tFrrj+u\nLsYWYue5TIvPNx1NNfn7iWF/4Pz97vOWv5WSoJgJzz//PJ599lkAQFFREXr16mXyfWpqKjZv3gyZ\nTIYxY8bgww8/lC6nhBBCePGBj8WUQYQQz6TW6OYG12jsH7Ou6EGtn6vcnXPFexImcTmo1Lr0NBrn\nzAnfnvafpmUb1U4qy/bCmV3gjZmfv/T7zVV1lWsrvXFYijW9unfi7IGgdnL5Co6Z4Ovri3nz5mHR\nokWYMGGCyXfjxo3DDz/8gB07diA2NhaXL1+WLKOEEEKIlHJLa7HmYBJ15ybO0Q6Cfdmi1uiGB6Tm\nVkJe04TVgYmSTNtGPNPJ8FzRb22r6pqxOjCRZj4x0tCkxpqDScgp5u5+b0tOcQ3WHExCQ5Nakrxc\nii/C3gvSDzew9Ry/9VSaNCvx4fwvJ1l1I1YHJhqGX0iloFyB1YGJqDUbelSiPx/aKAchQ3gYY7xn\n5iiqqMcnq6/ih+3RWB2Y6NDQOVGzOSxZsgSzZ8/G5MmTcerUKXTp0gUAMG3aNPj7+wMARo8ejevX\nr2P06NE20+rTpxs6dPATkw0T/fv3cDgN4t2oDrRvtP+NtMzm0K1b53ZVLkK39ZPVV6FoVOFqSine\nffk+J+WKuJIn1feuLRHdfXx8bObLz0/3Xqdz5w52819W2/rWyXnbqjuBdOvWyaF1hCUVIzZDhtgM\nGUY88Eck5sjRrNZi+SejpMsqB6nLpVdl6xhpKdLu0EG3vzt1sr+/xfBtCVnfpUtHlx4Phy7fAAB8\n8OoDNpfr1q1Ty/9aj4tdF7KQmCNHTYMKa2c/w3udrWm17ht3nwNu6eePXv6dHUqjf/8eCLyYiYTs\nCqTclOPwsok2l+/USfc416GDL/r374EPl4dArdEiKlOGyc/dbXd9fft2R//+/la/33k2AwDwyZSH\nrebXmL8/971Hzx5d0LFj66Onn5+uDvj36GKSlkbLcC2pxOQzPusFdC+9jfXr64/+fXUzVZTUtMYp\n0f+2e/fWfTV3UzgAINFOLAJ7dcz8e/2QsfMt0zTqXYgpxKdThht62NjTrbvtetWjRxdUZFrGdunU\n0fQ5u3//Hpi/LRqKRhUUjSrkQbfNx1e8wisf5gQ1Jhw5cgRlZWWYMWMGOnfuDF9fX8NOUygUmDBh\ngqFxISIiAq+//rrdNKuqHG+l7t+/B2SyOvsLkjaL6kD7RvvfTMt1qb6+ud2Ui5g60NwS9VihaD/l\n1JZ52nmgsaXHC2PMZr703d2bm9V2819d3XrP5Lxt1Z1AGhqUDq2juqb1Iby+5Y1cY5P9bXSEM+pA\nTY20Za5uGYagVDqnLPRdxpuaVG45Huyts75B3yDWelwo6nWfNfI4Bow1NOjqFWO69XrCOaBCroCy\n0bHglzJZHWrrdA++ao3t8wcAqJS6HghqlRYyWZ1h+EBtXROv8qisrEcnHkMjraVl/rm1a2ptXRNU\nqtbeEhqNLr91da0P+TJZncWwB77rBXSTBRirrKyHj0Z3ra+pbj0n6X9bXy88MKG9MrX2vYJjXVzb\na02DnbzW1TWhWWnZG0VpNsODTFaHpmbLHpm2tstWA4qgYQ5jx45FWloapk6dig8++ABff/01zp07\nh8DAQPj7+2P27Nl45513MHXqVNx9990YNcq5rc+EEOJKockluBDj+UHJXDT8sc1oOyMmSVt3LbnE\n/kIeSD8dHHGOqrpm/H4mHTWK1ocNzx8K7viFqrple/m+2TWnZQx7LmQiu0j4UAJHGdZdWANFowq/\nn0k3XcBok3acSUcTx0OiXS1pNDar8fuZdOy9kIWrScXiM91Cq2XYzREQUM/qfZKL6mRVHfdMKVz3\nRnyHBQgReb0MZyLzOdbFvf7kG/xmZRDLfLOLKupFHzNcBPVM6NKlC1atWmX1+3HjxmHcuHEOZ4oQ\nQjzRbyd1Y/ief2Swm3NCpEBtLsQVpLxXDU0ulS4xO6QM4pppZdo1b+DjBWeK38+kIylHrmu08fzs\nSiYsxbHjIT2vChdiCnEhphBbv3pWolzxk5FfbVj3mIduxeUE6w/5IQnF6NuzC8aPuF3Uus5G5Zuk\n//QDg0Slo5eYU4GLcYVWv6+occ60p3z9ZjbLgattPsa9fq5gj3lldVh9UJqZYvhaticOdQ3SxYoS\nHICREEIIIYTY5r3PdN6bc2eQemYcZ/Qcq28ZUlPfpKauVgLoZ75w97obmiwf7Mx3Y5NSY7GMPfo0\nGptt/1ZolXRnufFRZ2WYiatmrbCK49hU85jFRwg+WyhlQwJAjQmEEMIpr7QOCdmWgWxIG0Q3316v\nvLoRIS1vynKKa5By07ndRglxJq2W4UpisUX0dwBIuSnnFeHfmc9NOUXOOcakzLKW6cqwWiF8TLyx\n4op6xKSXW02/hmMfOYtSpUFIQpHJsKHCcoVJwEDjbvuXE4qgUgtvhCivbkR4qvVeHxkF1RafpZh1\n1S83ik9gYGUH5xSZzlhg3oB3NakYlbWWvR1qG5SG2EdmCbSu0mid6flVllkSeaCUVjYgKq1M1G9F\ns5PV8upGtzQFU2MCIYRw+GF7NNa4uOsZcTF6AdtmfLUpHCt2x6JIpsCiHbEI2J/o7iwJbqNqa21a\nbeXwcscwh7CUUmw/nY7VBy3rccD+RCzaEevyPBlbtNOBY8xFFT0uQ4btp9OxfG+8Q+l882skNhxJ\nQW2DaaNBVFoZtp9Ox4p9CQ6lDwAJWZYvLrjG8h8LzcWOMxnYdS7D8Nl3W6NafwOG67mtD8zVCiWO\nh+UJzs/XmyPwy/HrKCjnniLxktmsBAAQcMC0PsxrmRnBFv0W2mq4AIBtp9KxaKdlnV97MEnQdKRH\nroqbupTL11sisOloKuQChnRw9nKS8Hg4HWEZpwGAqOlFhaDGBEIIIYS0CfUSzasuJXf3rPUkUg8Z\naKvkLW9hb5Z4zuwkUnP2cVFVp+uRUCJ3fNY4wDIifmXLNK2FMu4HbkFp8xw2UCKvBwAUlNdbXca8\nJ0ZZpfDt14/tVzSK7w4v9ZGu35/GbpTUoqTCrCxcfMIVFRhTLJGFam+Yi6OoMYEQQtooMYHfNFot\n6hpc123TE9ADDtFTNKoM06qJVdughMZoejK+x6GYW2CtlnF2hfcE7fWoalKqUV7daHgg08+wUKNo\ntho5vqZeKVlUeX06nj+bQyvjvNoqJ75qFM0WB5RWyyx6F3B2kedBq2VWr5O1PPels555+U4zyJek\nsx2YJSVF7AWLYQqMmZzD7ZWHmO0zzjff/Q0AzSLiXngDakwghJA2xpGblMU74/DpmmucAaHaGm+I\n0k5cR6tl+GT1VczbHCE6jdoGJWatuYble+JdUrtWBiZi1tprnG/tHOZFD6NOJXBHfhRwBV9tCsf6\noGRcTSzGZ+tCsWJ/Aj5bF4oT4ZZdzvNK6/DZ2mvYdjqdIzWBGENtS3A1eQ3HmHUPV1rZgM/WheJM\nFHd3bT6i0srw2bpQnDNL4+d98Zi15ppJjINNIqP+/7wvHmejuKc//O63KIfy7wgf+PA+bK1NR2j+\nYLznfJbh/6EST03rcCBAKxubZBTv6qc93MNcojniYPA14+cQw/+X70vA4as3eP0uJkNm8Zmglxke\nestCjQmEEEIMbpboAiFVKzzzbaczeNMbPOI8+nm35RyBvvjSj5911VSIqTcrAQClcuvdnoWiYRnS\niM+qMARo0++nq4mt0/PpzztZhbpgdteSWh/UBO8Cjh8UyqSrE65mXBZC6YMlymtNG9jS83XlLOMK\nDCiQPi1rHMm/nq3rkq1jlO9b8qRso8YEo/TMf248BaQjD+DOYlEWZh9YO5/HZ1o+2IvFFUPCXdxx\nO0ONCYQQQtonemhqcyTtkutF2udWez5fX7rNJq7FdS7wtgZC3qdxB7bLU86ZbaGHJJ3lCCHEDo1W\niy3HhHeHvJpUjAPB2U7IET+ujgVwProAx0Oli5YsBmMMO85mcE7lJUSJvB7rg5J5T/uVkV+FTUdT\nHB5v70xRaWXYeTbD/oI8ZBZUY9PRFMFjXsX+zhvcLKnFhsMpTktf/wabi/mRrmhU4ZPVV/Htr5GC\n66RU7THuvEU+E5mPUxHCo9hLzc/XtBSMy5brAa9IpsD6oGTe3b9l1Y1YH5RsCAboTBHXS7H7fKZk\n6anUWqw/nIz8Mv5BJgtlCqw/nIwNR1Ksn+O97clZAHvHJtc1PzGnwmSGBwBoaFK55P4gNsNsH/HY\nNZHXBUy3yHRDY0w/494uIfXMlYKNen54CrVGi01HU5DBMZUmF2pMIIQQO1JuVCJCyAWuxbZT6W4a\nO+mem6m9F7NwWMKpl8SoqVciJL4IG4449lC34XAKYjNlOHyF31jIn/bEIyqtHPEcU3x5ik1HU3Ep\nvkiSAJtLd8chKq0cMeY3izx/F53u4vm5XWDxzljOLrVS3bIv2RVn/UuzlZyOyIOiUYWiinrOaed4\n8eJnsgOXsnEwJMfd2bDTHd3ys3VByYjNlJl0Lbfl9zPpiM2UOSdmhpktx67jYmyhpEHkYjNkgqZu\nXB2YiNgMGWLSy62e47242vJmcxvN6pVSpbWYceJ8DL/65WhZrjdvXOVxMtws8MUN39k6fjabwlPf\ni+1Gca2g9UlNyL0ln/0hRf2Py5QhKq3carwJc9SYQAghdkgdHZk4j1RvVfVRvoW+1TWO4u+ppKzN\nYntiaDzwmHL0habFNrnwqcb8LaNxzw+tBw39aAtdeoWwiDQP29VC6OwCSpXZ8We0Ps/Z67YJ2eYm\nN0bDd3Xddeb+s3neFtgA5lZcebVyIrc2hWObu7+ToGeO0OszNSYQ0gap1BpUOhBETCytlkkS3Mjd\njMtOpdai0gVvfcxVK5odnr84t6TOZG7s2galxSwNikaVQ3NJi6XWaFFhp67Ia5rc3h2eMYbyqoZ2\nOxbfnvZaLMZT/0nFODWtlqG8upF//RORlYYmtcVUeVxq65XIL6uT5KbbXdOwqtRaQ3BMoYxvzfX7\noY7jXMqXvgRq6i2vK1yND8bsNd6J3UaxuOqmVMdFeXUj8svqBN/L2HuWklU1esn53HoenZn7eqP7\nAfP1VNU5Xr+azRvAHOEhu7GhybF7Nb54VVs31G1qTCCkDfp+WzRmbwhz+fR+v51Mw9xN4ch2USRz\nZ1A0qjB7Q5jh70U7YyQdJ8rX5+tC8fm6UIfSSMurwne/RRn+nrXmGj5eddVkmU9WX8Unq6+a/9Tp\nNhxOwZebwi26X+pV1TVjzsYwLN1to2u3C4SnluGrzRGISvO8KNaewJPeertK8g05vtoUjj12zgtZ\nBeLPg7vPZ+KrTeFYfTAJX22OwIVY292SxeyFj1ddwaw11+wmOmvtNXy/LRq7BJ4HPalmLN0dizkb\nw1CtcKxhWD+e+1OOc6lQN0vqLHoy+dp5El4VmGj6gdniFuPHneyrzREWMxfsNZpKkC/zulIib8BX\nm8IN9zKNzdI9rP1y4rqoYYu5pda7w5vH1rHXKATY77gkZtpEi54qNlg7Pj+1cU4olNU7/JJDP2OU\nFLi2oZZnnCMpuepcd+Sa/WGkUswkJLRvAzUmENIG6ceQOTyHr0DhqaUAgOwi721MqDbrhZBfxv2w\n6wpiu3Qa38eUe2hPkYSWeaALyrnLt6JljnQpbzzMCblgptzknpObtD/pebqgVFftTP+WZwj4JfxW\n80rLFIJJObp6Z28aM1ttOkLbe6w9B11JKOb+wgvcLNHtiwoH39yntEzx6Ajj4tVoTHeOvWdQ80B6\nniAxx/TceDVZ+npSL/GLkeQbws/n+jrExRk9Qbt08jP527hXj7Vq0qRUi3qwFXItdNVbeFfh0/BD\nbKPGBEIIIRbo+kqIbVJ3ynDskPOkfgA6HnkKcXsx2c6ApOddF/UaEjpkwHJp/hvNZ1V8Hg6lLhpn\nFLWYNN1evUm7RI0JhBCvVlxRj6NXckxuaEorG3A2Kp/XTc7F2ELTt+M872u0WobTEXl2x/2LIeTm\nLCS+CHmldWhWanAyPNctXfycgWt6KH2Zm8flyC+rw6kwy+5/sRkyXm+g+BS3o7180vKqhE15ZYTv\ndngaRaMKJ8NzeXVRvp5biag0aWd44LtuLjaPI8EPfPx+EJ1ebogsbv48ZK+O/noiDfsuGnUvF/lQ\nGp8psxqnxDzeQYm8HueMzrPymiacisjz6OlRXS3OrEcJA5BvdL0x361cD8Ll1Y04HZnHOaTI1m6u\ndVHPRPNsKVVakwC2pyLybL65l6q+yKobcSg4i1dsD2vXWFl1I05H5HGmcSGmAEUV9dzpueAxXl7T\nZOjRl1+uwJ4LmdzlyvP+wbwXJheu82AIRw+l0GTbvbRscXf8iut5jvc2anMEXj86OCcXhBDiGt/8\nGgkAGNBjOO66rRcA4NtfI6HRMgwe4I/7bu9r9bdFFfWGeAhbv3pW0Hoj08oQGJKDi3GF+Pmjp0Tm\n3jGVtU3YcTYDADB+xBCcCMtDen61Z74RFCg4rsjis+j0cgSG5OBcTAFWfjzS8Pn326IBAENmPIGO\nHVq7hq4/nAzA+r4V8hYwKYffw7y1iN/66c8ev28g/5W2sLcd7mSrCH8/rZu2rkahxFsv3G0zHf20\nXY/dK7x8rDl0+Qaq65R4+2+2161nPMXYluOpmP3mQ3Z+If1N8MIdMS372UdQ+opGFc5FF+CZh2/F\nwD7dRK9/bVCy9S/NsvPNr5FgDBg8sAfuHdIHP+9PQFllA7p36YDRD94qOg+ezpGpEStrbT/AcR1P\ni3bEoK5Bhf69ugpeX2OzGl07S3yrz+O8eTYyHxNH3oGricU4GJKDsJRSLPzgces/4PlAaeucvXR3\nHO8pMq21NyzZFYtqhRJ9enbGE/f9weQ7pVqLb3+NdNt52Dxuz4WYQqTnVYtOz2QaYysFyzVN44mw\nXIvPfjuZJjofrhoWqzYbUqSvckLiTLQbAi9t1DOBENImNBi9gdRPa2NvbB/XTSHf58u6lhZ7ezeH\nzmQ8pZY+H2UuDsDlKCENH3UtkedrFNxvjcXeFLgrwrzbuGhzy6p0PUjkHG/PXDXNGte6rTEOLGbr\nONLn3RNjTxrOaUZ5k6rrvPnm6rdff57Vl5mr3oiLIeZYNy8+p05ryrGz9L2ixMy6464AqVUtgS71\ngQmLrbzRF8rW5vBtSNClw51Qdcu1RXBPNDfNClsityxXUXvcjSezthaDoT2ixgRCSLvlqXEBPOEZ\nxVX3Fu7dVg+tAG2GJ9Rk/vg2cAg/b4h4gDUf5iA4BaPfivyxd+29ts9T94c3zuhiN8sesEliipWu\naPx5wC72XAIrEjUmENJOhCQU4fCVG+7OhtOZT9Fki/kNe15pHTYdtezW505FVqZONBeWUurknNiW\nke+8KOO/HL+OtFz74xqt3RxoGcOyPXH4KOAyr3nYL8UV2oz6nltaiw1HUiSdrszZjN9qOvXNKof4\nrAqLN4FbT6Uhx0b31uu5lfjl+HWLscu7z2fivaXBTp3lwxOIfSjQF7PxVJL6c0NVXTNW7IvHD9uj\nkV9mPTK9XrKNoT3G02IGx5lOW3nkyg1cTrAcpqTLoN3VOiw2w/rMF1wPaJkF1dh8LBUqtRZXk4oR\nGJLNe13GvcNEMcuPM3uWXYorxJGrEtwDuOkpTNGoMumBKIT5lJl5HNM8Gs98FGKt/oI7xoN5kRRV\n1Bum/SyvbsR7S4Pxy/HrAnIsnphGiNxS++cDZ5E6Vo4QfOJrEPuoMYGQdmLHmQwc5xjr1tYEXc4x\n/N/eZcL8TeTyvfFWAyy5y5pDScJ/5IbXEz/tiXda2uGppVi+L0H0PeyN4lqk51ejSakxxMgwYZbw\nznMcyxhZsisOMenlNm84PY3xOFd3BHMsr7IMVLpoZ6zV5X/el4Dw1FKL4FgXWx6Sl+yK47VeIcG9\nPGq4i4THsH5/77uYhdTcKuSV1hliVNhi7VzY2Kw2aaxIyzNtSGQAfj+TIT7DDtLHGOFr6e44RF4v\nQ2xGObadSsfpiHzTBSy6orTWk2t2pgeVlMAAjOZ2nsvEsdBcybKjxxWkz2a+RB5mpyPzxP0QwKYj\nKSZ/yzmGJ241GvdvHD/FnEmsARtSbujOXdta0tVPne1MYs9g+pco7ni4Dk91X2OC+bmLiEONCYS0\nYR50a+wy1iKR89Go9JA3zUY7zpFgX97AFe0exjdISnVreYpdt76OmQd08mRKo+PCVd2Sjdcidp1a\nK4eztQjwjmya8W/5JOOJvbttNYgojd6iNzlwrvPE7ZaC1R47NjZY4+EzV7ji/Cq0PohttHPk2t7E\noweJkmcvE421k5IZ/XXHau8VZ+wcDz82ParBFq7vpecthMY0osYEQkibYHh5ZHQOtPdW0sYLp3bP\nU+NJ2OLuKaY8mpvLhs/c796iDW2KKO19+6Xk8MOVnZ3hiqOe87xrI19iT0WOBG3l80uHyorrxw4e\nJ5724N3m0P2CVULrHjUmEEJE2X46HVcTLecbBsRfBGvrlVh5IBH5ZXUorqhHwIEEwzzKSpUGaw4m\nIeWmHOsPJxvmW7Zl09FUpLaMtY9JL8d7S4Mdmg/ZmPGQEWeOna9tUBnG8FbWNiHgQIKh+zHfB7TK\n2iZ8uPyS0/LoTrvOua87tatpGcOmoymISS+3v7AtLYdnWWUDAg4koKLacgiCGKHJJdh6Ko3z4cJZ\nz59XEoux40y61e/F3i5W1jZb7f3Qmja/1LnuWQ9dzsHpCPHdtq2xNtOJLQk8u20DjscIyC9XYOaq\nK/jfLxFoaLIdMT+65ZztrDHVYSkleG9psOFvk54pjOG3k9cRnlJq8mCsiz/R+ve+4Gx8tvYaAN1s\nMysPJArKQ0y69fgO5syr0fqgZLvd0jccTrG6TGJ2BdYHJfN6024Sa0bAwSxlI6InN2JZOxfsu5hl\nEo8gNkOGk+G5CLqSw7m8UBZv1h0so62nxE/xyAffqSwdvsYRl6LGBEKIYEqVBlcSi7HttPWbeDFO\nhOci+YYcqwITseVYKlJuVOLAJd2DdGyGDAnZFQjYn4jYDBnWHOSOJWB+LV3RMjZ4Q8uYSeP5kH3N\n704EXIjrjaYzupzA3agilvmNiX4Mb2BIDlJuVGILx9zPxszf4By8nONVXfKt4tiE4DhhcQu8+WVE\nsaweUWnlhrosBNdmbz2VhpQbldhzIcvxzEF3bF1LKkFjM8cDp5MeBLafTkeIxMefnvXxtI5vzMnw\nPASG2HigsDYPox3HQm8KzouQuCyR1x1/sK9vUqNE3oALMYU2l9vYUs+dFRT31xPWH5zqGlQITS7F\nLye4guaZ7gt90N8zkfmC45E48vAWmylDto0gpoCuDltbZvXBJMRmypCeb/8Bb/8l60EphZ5Suaqy\n00/LbmqJOBddYPL3+sPJOHT5Bk6E8WhIdMNsDs4O5HyN58ucLS4IVsng2Q1U7kTDHAghXkvfyq7W\nMKhb/q9/q+KUcd4SDXNw1Rh0/fhcoeP8NG2hIYFIXs/0DUxqnmOAHeGN92ze2PDE91gXPV2khIXi\naVMKGj9YiMmZs8dfO624eKRrKzaEq3ajpzz4cT1ocY70cNNZj4b7EVejxgRCSJsg5rLtIfcmonF2\nJ/f2jXIDb7n1kqrLsMu213hFLqqY0m6bndS8peJIyNvf5tl60LL2lRdvrttJWXbOjpngacScXtrh\nKYl4AGpMIIQ4jZYx7D6fabcrZm29EttPp6OKY7omW1RqfuN3rb4BM7orrq1X8r7jSMuttL+QA6xl\nN8bG/Ol6Wq3luGaum/+K6kZsFzlMpURej9/PpIuKFZGUU4HDVyznOi+rasDvZ9LR0CQ+/sTOsxko\nkil4LatlTPCc5YlmcTq4tuPw1RtumXrRXGG5AjvOZnAfI+YVjMcd6KX4IlzmmAozJJ5riIF33NI2\nq/+t954AACAASURBVDRYticOS3bForFZzfuNHtdpwlak+SalBu8tDUY0xzjgA8HZLnyz642PVK0q\na5uw7VQaNh9LNVxT8svqsONsBvJK67DjTLrdmA4RfIdpGO2UM1H5NhZsdaO4ll/aLlatsH1dzSur\nw85zGSYxQtJyK1vqprjKGRJfhBwr130xMZUSs+UO9WThOwMDH1IFRkzMkv46UaNQIr+c3zXQXCHP\na2dbYq2OtndCLxXUmEAIcZq03CpcjC3EYhvzyQNA4KVsXEksthlUkevkFprMNb7PcsHsQu4Lhq/R\novuDs3g/Ay3nMUe71LiCaHE9HMhrmyw+4/LLieu4YiWApj0B+xNxOaEYF2IK7C9sZlVgkknwSv3u\nWnsoGZcTinHKgaB0OcW1COAZAM2kTvDc76s54nSYBCYDUF7VKDgIG19Cru+Ld8UiJL4IV5N0Y1QF\nBly3sPNsBn4/YxnsMq+sjmNpjnXxX5WkbD1/XE4oRnp+NbIKa3A+2rIu23t2Mf6azxzyGzliXZyJ\nykdppfU57aUkSfdn5r7u27+dTMPVpBJEXi8zXFMW7tDV8x+2RyMkoRhnwnNtpiEmvk1SDr+HPnuN\n5u6y86ztILUHQ3JwKa4IsUaN1cv3JeBMVD6K5fbrprXzyCJr132uaminau4+n4nUm+Ib8WXVPK6L\nUjfq2TlMLsbZjhkiNj/XksQFmV6yy/Z9WpvDgGOhue7ORZtAjQmEEOm1XAT5zgtdb+NttP56ynUD\n26Tk1zNBxWMucEfeiLt6jKIU61M02o6kbkttgy7gGN/yt6llU2pbgpg1Ku3XBSnYi9TPl6eN+9bT\n7xtHo+87wh0lI+Qxt8morgmpy1wPT81SHAvewk0tQ3UNlucs8+O4ycb5o72ydX01puToxWQrVoKr\nceXPHdzVmOZsnIFzCeGBGhMIacO8JRAP1805n8s15+84PrNWDt7e7dcRFjNZeArvqLJeqH0WrKdW\nc6E8Ze+5Nx+uW7unlLe7OXwLIeHx5/SHeAeSd8a9llTDKQg3Kl3pUGMCIR5EqdIgPlMm2VtTKVXU\nNCIjXzdVWlmV+Hnpc0trUVRRb3c5i2XsXOiv51YhIauC8+bHWq8D4yR9fHycdnGR4kbD/MYiIbsC\n9XbmadezNxe51DxtHKK9HjIX4wpRWdsElVqL+EzbcSnqWnplCKHk6B3Q2KxGfJZMWM8GjmOgsFyB\nfLOhBibnj5bkjVdjfmxJXTsSc+RQNKp43ZtfN4s/wrdOW2O+LddzKw1jxpuVuvOrfvy0FI8m+nOi\n1M855tuRZWWolr3f6clrmpBRwG+Od2Pm1yJFg9Jpj3RcdVkvr5TfcBqVyj3Xzho7cQk8iZhYN8Yq\nzIZ2FdgYox8c29qVPzG7wqEecU7nwIkwv0z6eAPWp6Z1nJjrGGmf+PQwpsYEQjzIvuBsrA1KxplI\nfgGfXOnLjeH4aU88mlUazN8aJTqdBdtj8O2vkSafmfcQ4Lrh4LqBNf7sTFQ+1hxKsgiSB9iYp1yi\nu2JX93AokTdgzcEkrOI5Np8rcCOfBh2xrI6V5eKCogsMsZwj3fy+cfaGMBy9dhNrg5JtpvXTnnib\n6XDZF2y5/l+OX8faQ8kI44z7wY2rqL7bGoXvt0WbfBaw33ZMj+C4IqvpSeGX49fx8954XmXz874E\nk7gTqwMt41I4Qq1h+N8vuvPNjrPpWBuUbNh+E1w9mqykafzw9NOeeLcNcbhZwj/g35yNYSZDOfhO\nY3gy3DSGyeGrNzmXi82wDC4pFFdd1vthezSv+rT/QqbD+QBsv5Hn+uqzdaGSrNcWRxqljRs0uWJ3\nAPzf/Jtfv22pNRqasvpgEn7eG29jae/AdbnfezHLcjkH1lFZ24QSHvEqxLqSKC6uQlviLT133e1Y\nKPc53xg1JhDiQbIKdW+O+L6FcQdn9JoQfdHluKoLidDvqT2g+V7j+I6F9Qa82mNEXvz5vjW6UWz/\n7W+xiEYY/XFt7Hpepej07EnPF/4GWmpCIoobNx46I4id/k2svlwMjQEiGwEr60zfQvOJyeIMlQJn\nvxEjl6PBgqvYnPFm1oKT7/3bcrdytaZ121IFzEYkdZnklyvEp+ipF2wn4IoPQog78Gm0psYEQoj7\n8QqQ4OQseNh4SW8gyVa3z6ITx8sCAHjVceFFWW1lmWmpi5wz8D7Hh15ZfCJJfRTyLTvJylhAQh51\nCHtIXjyqTAjxANSYQIgHam/XKps3Z22gMNrAJpjwrkda93NneTGzf7kXams11DZr+8OTioFPXjwp\nv20B327+VOyEDy9r+yXEQOjQXWpMIMSDiL32rDmYhJ3nbM8lLRU+N7CBITmcn+sDn5kTG2ioRC6u\ni/h7S4OhUmtw9Fqu4bP4LMtYC1IxnsN+fVAydpxJN/m+srYJczaEYt6WCKzYFw9n366ejsizv5Cr\n+Ojqhb5bp7Nv1A11TaoVWTkg5m2J4BxLfzWpGF9tDofSKFDcuegCfPtbpMUQovLqRszewD0W+9tf\nTZd/b2kwZ+DLgyE5iEor47Up1lyMtTMfOg9zN4WLHL5lfUftPscxPt7GCaqqZXjC1aQSzNkQahFz\nxdqqC8oVmL0h1FC+zn5GMD8/CMNQWil8rPX3W6M4z89JOXIH8mLbsdBcBMeJr1tCuuvzEXSl9bp1\n4JJlnBM9KY4HY7zrkwPnrKQb9q9vjjz87uOIGSBEyk1p9yUfYgMTbz5mJQaTefrU6kS8lHGvwuu5\nVXhvabDN5akxgZA2ICG7Ape4gop5mIrqJs7P+Yz953prdDmhWHRebpbUITyVf/A7R+w3CsAXmylD\niFm+QxKKIa9tRlllA1JzuRtWpHwLaa2xx13Kec4O4k33ZmWVDUaxElrr7rZT6Rbbu+9iFopk9Sg1\nC7h1NirfZFy88RFQVFGPIplpY5q1wJebjqbaLjw7TxG7z0sT1M7aA5qt1SttROe/6MCDqJwj3oB5\nETUpdeeloMs5qKxtxi6uxosWUjYwmJ8fhPHByfBcwb/KL1c4GINB3NFpq0ztreEXng91fFUrWiPc\nR1633gB3xEoQSk+25dh1w/+F7Cm+151zRg3mYjRzzHjjbNVmM3BIHR+iwcGZaQjxFtSYQAjxbC13\n6dRl0HN400O907mwYtIxIC2L8uT55OSK+u9t+5qGXBCn87Jjgu+wGUI8DQ1zIKQN8KrAZUK00Wur\n1FNDesvul2Kr3XbDxTUVoJeUu+TcvOFCp+FzFbeum0/MBOdnw6O01euiywMwupuHbgg9/BMiDjUm\nEOJRLC9mjDGUVTWAMQa1RouK6kaL77yRtfgJFhg8fhvrG4V3Z8wsqPboKUC5WNQ/CdI0796q71ru\ndE6OmaDX0KRCoYzftHllVY2obVCivkmFJqUaNUbdrjnTFjANqrzWcohRBcdnfHA91DnrQa+iupH/\nucJBGrNBzg0tw6/Mt8z8LF1e1eiW56Paesv64Uk9GoSUiXm8ED71iU/6RRX1FmndLKlFPXVB58UZ\n02WWV/Mb1mZObIwDvqoU0k61KuT8TIg36+DuDBBCbDsbVYADl7Lxzt/uRnR6OdLzq7F0xhMY0Kcb\nriaVYPtpR4J18ZMuMkCiLb+dSMOHE4fZXS42U4bYTBnu+GMPyfMgldOR+Zj8zF2CfrN0dxwAYPPs\nMU7IkXOsCkzEdSsxHcTafjodi/71uOHviNQyfDjBfr1wVHS6Y0EJefEBPl51lffi6w8nG/7fuaOf\n3XHEy/fG807bPMhpWWWD3cYKa9YeSrb4LDq9XFRagO0H4MCQHNwoqcV/X71fdPoAv7myAw4kmvy9\n+3wmnht+W+sHVvK5cEcM7h7c25HsiSJVLAtnERKUb1WgadlfSyqRJA/f/hqJf42/z+SzH3+PkSRt\nqfAPwCjdw3RrPBd765RslQbJN8QF9ayoEdf4yRdX45wjHDk+ndGIQ0yJeQnUXghtk6aeCYR4OP1N\nenx2BdLzdTcAJS2B2hKcOAOBsUy+Nx4CRNgIcMXlZol3vcXnS6W2fOvKd253V5O6IUEoKcuAK3q4\nJ73VdXZAsuIKcTOhALqAr+a4HhCk2l+xGTKH08jl0ZjAF1c9ySyQ/hwphg/c012ba1/rZ8/gw/zc\nwlXHxBL78NqW5RTxOx484LJDiFNUS9x41J4JakzQarX4+uuvMWXKFLz99tvIzjaNzBwcHIzXX38d\nb775JgIDAyXNKCGEEGKsrY6htkbK2BzMyv8lSbCtcuk2tocCJUK4pUZQNXQLit9AvImgxoTg4GD4\n+Phg7969+PTTTxEQEGD4Tq1WY+nSpdi+fTt27tyJ/fv3o7LS9fPGEkIIaZuk7DkgVTuEK++16fZS\nWlIHTvUIbtok6pYtHpUcIW5AB55kBDUmPP/88/jxxx8BAEVFRejVq5fhu5ycHAwZMgT+/v7o2LEj\nhg8fjujoaGlzSwhxi1J5awBEsW+DK2oa2/XDUGE5vyB8QGvgN1OuvfJVt3RRVmu0OBmei4x8yyEO\nchtjWCsEBNmSiQjIJaQLtblGK4GxxFTt5Bw5cku5uwyrNZ57tyJlp47U3EpetVOlcU0gRSmZBASV\n4ASm1TJkF9U4npAbSb0fzYMv8lXXwHPMcxu58Eh5zPINatyeG4msXSdcoT2XO/E+ggMw+vr6Yt68\neTh//jzWrFlj+FyhUKBHj9YAad27d0ddnf0xzn36dEOHDn5Cs2Ghf3/PDc5GXKMt1IGOHXXte506\ndTBsT4cOrZ/p9erVFf3790DnzqaHsHkZ9OnT3eIzMeVkHN+gXz9/zvSqzR7u+vfvgV7lreOyv9wY\nji3znjdZppt/F3Tv2lFwfqTQu3c3SdOzV67fbY3CkeUTOX7nj+7dO5l89s2vERbLNTj5vsY8/8v3\nJeD4ilewYk8sQmILOX8TnV6O76xs95ebwnF8xSu81r0qMMnkb2blmtC9e2fD/79YH4pjP1uWJx/f\nbY2Cn59lW3qGiHHvey5YDzJn6zu9rt062V1Gr2+/7naX8e/ZlVdaPXt2Mfy/U8cOVutvqtl4c67l\nVuxLQJdOlvustNL0gSW7kPshuk8f0+3iWgff81avXtzHtX+PLhafGdcna1YdTELPluU6dvBF//49\n0LGj+HuWsLRybD2eanc5sQ1RHTr4oUsXcefUvn3t1y8AWMARwLBbV/712Nzh0FyTv7mubUDrtVCo\nzp3cc43hy9/ffj0EgItx3OdhMS4nFFt81rNnF4vjrFevbujfv4fJ/Udb0bevv83vAwITseqzMa7J\njJk+vfkdi4QfruuHr18baWWUkL6cehYLi1Em6uywZMkSzJ49G5MnT8apU6fQpUsX+Pv7Q6FoffNW\nX1+Pnj172k2rSoIp3/r37wGZrG0GZyP8tJU6oG4JxqdUqg3bo1brArGplK0B2aprGiGT1UFpNo2e\neRlUVdWji9n9l6PlJJebvmHXp1cks/y8psb0jXNlpekyBUXV6NfL8ibfFaqrpZ1ukk+5lpdbvsGW\nyRRoMAsE1NhsGXwv46Zzg21y5V8mq7PakGDrd3y+syUnj3uInMJs6i6x6ctrmtC3J78beEfw6Z3R\n2MA/CFRlpf2giYXF/BpEamtb89ZsdL4xl5plOkuDteWalOIDRlZVmW6XtbrIR3UN93GtqLPsRVNf\nb793S2Z+NR64sx8AXbBUmawOKpX4N/Mx10tF/5YPjVqLpmZxUcr51C8AkFVZ1ut6AfXYXHiS6YOt\n7tpmWZ/UHMFq+WgWWR6uUs9zSkJbPcGkUFfXZHGcVVc3QCbrZHGv0RaY34+Yyymscdt9ZVW1+AC5\nxBLXftR4YU85Z9OXk/H9AR+CmnmPHDmCzZs3AwA6d+4MX19f+PrqkrjzzjuRl/f/7N15mFTVnT/+\nd1VX791ANza4oLhiXBIXklFmVFDHGSOaZL4jidGo82AmMaPzdcz4c1wSY/I1kWCSMcloBnWUxMQ9\nJioxiRoVBgVpVqFBZBGFhsaGht67q2v5/QHdUFW3u+5+P+ec9+t5fB6pruXce889y+ee5UN0dHQg\nmUyisbERp59+uqPEEJEzxYY9Sl+fzrQF9IbDs+AOz5t7vPWcj37nc6zwsG4gIlKDo5EJF198MW67\n7TZ85StfQSqVwh133IFXXnkFvb29mDFjBm6//XbMnDkT2WwWM2bMwLhx44JKN5HWtG1H5S14puth\nEpG+RK/bKDltwwh8IUzh54T1IBFJ4rRIdhRMqKiowP333z/s36dNm4Zp06Y5SwERAdi3MFe/zaHC\nvf0pZLNZV43aTCaLeNx968rJXN7+gZGPx7RGVCZTeMSZbBbJIucpKtYLQebq6E4Oex1T6QzS6SzK\nLebTj8TqPJE9bgKRojvHQbJ53H37F2Lr9TCVI0xuFzSUjuVC+HQeIaLxoZENvP7Dc3pu9FtRhUhR\n9/56GT62mGNtdVM//NJavO9isTgA+P7jS/Htaz/j6rPAvoXvrFitUD7nxbyFxvIORueGipXrfzy/\n4LU7H15sf1XygD2/YHPOv2+8f0HRz/zbzxcO+7f/7xdvo70riUdvu8BROmb9Zrnl6/krXHf3yjhv\nYdmyI5j5uzrdhr+dv8n373x//8KRO9t60NU7gKoKuU2nGIDFTTuLvs+Kl/L4T+985PqzVjuzrNhQ\nuEbMTou1Gsg/MelDOAzyyLx1USeByDZ3S+MSke82bbfeXm5Q/tNDq9WY7fggoA7Ju5t2F31PQVNV\no06MW3YDCWF0+P6waIuv39fe5X5RNjusgm92qdhsXrO5+D1ml+3sFMKwBT+HuQdVvg1q3duLTx07\nNtDfiEqaT/4joWJZpAPJI7K27+ICjBQdp/cGgwlEFJ7siP+kEUhu+IQmP8N4yEBS8h73E1dvhFLg\nc/yJhFDs1iSiCDCYQKQI6ZW6nQZ2QV9Q+kEZxqRhrqZnPd57ZuV3kkvMnWhxO4hJG5HPWAX6h8EE\nIuG8PATjAzTSmQ5tAUcdWt7PRBQm9riIqAgGE4gC9IdFW9D43seevmOwLu9LFl9Zfzj5izW+9NYH\nXpJkKb+fs3Fb4YKM+ThF175trcHPocwE1HBs3tWNX/3pvaK7exTjZ+qkBNr+9137a5/4+SS9ZXfP\n0P+v+3APlh5UTq3cuAu//9/NVh8LhJ1RTc8v2Ixf/Xm9lx9x/1kf9fa7L8fJJdYzREQOOKsvGUwg\nCtBv52/GL36/xpfv2mCjc55vsG+Yvzr+7/73g8A6joN+8Otlxd/Epx62zXt7i6/fN6qq1NfvG8l9\nTyzHmyu3443lzaH9ZjFSsl63je03nbA7feH3C3MDig8eVE7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IpW3/5paWDtz35Ar88+w3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hZN5BfVIo12Sd/eS0ohx2kO6tOlgaDHUbgXdFk8uDWkW5pks6KkB6JVZ9roGEcLMGp6k0l5eJJ/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\nICIiIiIiIiKDomGCiIiIiIiIiAzK/wAwceZqOmOLogAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0xc3563f98>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Otra t\u00e9cnica interesante que se puede intentar es una descomposici\u00f3n. \u00c9sta es una t\u00e9cnica que intenta descomponer las series de tiempo en 3 factores: tendencia, estacional y residual.\n",
"\n",
"Afortunsadamente statsmodels cuenta con la funci\u00f3n de seasonal_decompose. Esta funci\u00f3n es una herramienta que nos ayuda a descomponer la se\u00f1al de manera que se pueda encontrar si existen tales componentes."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from statsmodels.tsa.seasonal import seasonal_decompose\n",
"\n",
"# deal with missing values. see issue\n",
"logged_ts.interpolate(inplace=True) \n",
"decomposition = seasonal_decompose(logged_ts[[1]], model='additive', freq=23) \n",
"fig = plt.figure(figsize=(18,8))\n",
"fig = decomposition.plot() "
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"text": [
"<matplotlib.figure.Figure at 0xc15bdc50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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Rxuqh/ghLNrJUM+oD4FJSLi38PNhxNAGArQerLihvPd5fqurWev2LMAAWTe8rLSsrVxJX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\nEEIIYRKkqBFCCCGESfg/t0p+aSC8MaYAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0xc15bfd30>"
]
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Claramente se puede ver que los datos reflejan una tendencia mas no as\u00ed una estacionalidad."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"La mayor\u00eda de las t\u00e9cnicas que se pueden usar para modelar se\u00f1ales funcionan mejor si la se\u00f1al es estacionaria por lo cual es muy importante volver estacionaria una se\u00f1al si originalmente no lo es, como la se\u00f1al que se trabaja aqu\u00ed. Aunque existen diferentes maneras de extraer esta tendencia de la se\u00f1al aqu\u00ed solo veremos 2 y se explicar\u00e1 porqu\u00e9 se opt\u00f3 por una por sobre otra:"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Aproximaci\u00f3n por regresi\u00f3n:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"La primer aproximaci\u00f3n es ajustando un modelo de regresi\u00f3n $$\\mu_t = \\beta_1 + \\beta_2X$$ a la se\u00f1al y explicando el fen\u00f3meno en t\u00e9rminos de los residuos del modelo de regresi\u00f3n:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from IPython.display import Image\n",
"Image(filename=r'C:\\Users\\ghost\\Desktop\\detrend - regression.PNG') "
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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k058btv79qHxldlE+OPe8HCryp+KCMHgn6m1sX0REhEDZ/hA1BKN5LevWQBjBrXOWHa/j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\nLijo74YOcoQaIEBe2wL0dpCN9KLuR93wWZcA3Q/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/LcEA3YuJs+4KAwoI4O2BOl7zWk5P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\nh0F16AfWpRy8d95nf6hdW/M9qSA9Wz5PREREDN6JiIiM12Xw7nWPeXt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JwbtRHsi16nHZ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\nAEBqEf8PQt2LfopkISkAAAAASUVORK5CYII=\n",
"prompt_number": 8,
"text": [
"<IPython.core.display.Image at 0xc15bfa58>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Una vez obtenido el modelo de regresi\u00f3n de primer orden as\u00ed es como luce el fen\u00f3meno:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure(figsize=(18,8))\n",
"plot(detrend(logged_ts[[1]], order=1, axis=0))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 10,
"text": [
"[<matplotlib.lines.Line2D at 0x68812a90>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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gl1kJbD2/q1r3rC9V1XQXj9rWQf382RIy4SKEtrytaJi66l5S1a11O6eunO45\nefm77PEF9MvnT+mna2IHcCM/xn5//q/Vj3xOM9lK871NthMFDUPrdlbr/hR+zzOpx+Sx5p71pbrz\nmZIMj8aceBcQ73/1rO55oTTzQf85iNaXc8SGd+p0w3uu1Jc/c0Ouh5JxgWBQJyq79UcfXamrlk21\nKMxVocML0ycmMduwZcHs2uEUZwx9aV5Z+HaSlG84V7xvSn+KKbGhjld0Jbw/EDBMn3Q4QUHUP2KL\n1RFmaMyrmpbBqODIr185E/bf331kqltIrBZXrT0jMb/ToWtTE33lB4Y9+uD7Eg5dz2yrDKu9IV1+\nulFdHwqk6ubLz8fqmuttCa5ix3q+HX1jen5Xta5YslDfuuXjlvZpxUt7LupYRZd+890vZKROy0xL\n5hlna12a8Pj11pFGHTwXO9XbykteWjO13Km5a1if+sC1enZHldyjXu0+2aL/72ufSH2DGbb7ZIt2\nnWjWI9//My1bktvT06PlnfLFCBTMtKn0+uwLIoxnuOXl5kP1+uiNK/RHH12Z1nbs+iZwqSKDYry4\nEx6/lixakLClcqb8/NmTUbeNjHu1ble1/u5LH9IH3nt11scUKvIVeeNwvfacbNWq735B73nXMklT\nQdpL7UOzv/f9w5N69/R9MIfMhjni4Ln2mGtB56Kj5zv14u6LeiakSndByEF027FG7bIr08DhZoIs\nsU6KzMjEGm3kVu/AeMwr7kNjXrncE+oZzH5U/sm3Lujnz55UZ3/67VqzoaVnRHc+c0K9SV6rTBU6\nu/fF0/rPl85E3Z5od6H1C8zMj2MGSKf/MHJ9eW2re7Y4piS9eaQx7nbtPKKs21Gllu4R1bQMao2J\nejzxXp9Y6+gTOTYdPGvqHslaMbugYUTVQkkmXtHPiy2D2nr08nt0oXEg9QKkKT3aHlsON2jSG1Cz\nicycZBo7h2eDc1bew1R+U81kEiXS1Z+5QOzwmFd7S1v15JsXbNwq4YJManeN6uFNZSnXxIjFHwjq\n+48d1a9ejv49yZW9p1pV2TigRzadz/VQoj7JM1lMF0MuFqx+vUxvhRxPSexNHcEG5J2ZyVJjyA98\n6AnujuLmsANDPGu3R5+8dvWPpdRBwm6pFByTwicVjVS8haSq5kFVNkZPJH/y5HH9bG1JwuUIrgyn\nB8bKBHCiskt9prJ/DEk/XVOsuja3Xni7Wg9vKlNHX+bWdIZOmiKPFaH1C8xM+GMdaeL9XfdA+GTo\nSIyOCvGX3DORAAAgAElEQVS2a/YzFQgYs1eNZ/hDMizG0+hV/qMnjie8/1h5p3536JK1jdsUXUm2\nmVgBpHgT4t9sLAtb2lfX5ta5ur6w92bdziptO5b8dzIX7DiXr2wa0Dun2zQ05tVtq4u0+2RL8j+y\nKOFELuJ963VPZPW32pZ5kd1LrSxsr6Sq2zHFvDPt2e1Vqm4e1JaI5VZWzLQ9TqeIot1mMuf8Du0i\nkYyhqSVEHX35cT7jBAQbkL/SPE7NpJiGunvdqZiFnAo0tWb8uZ1VjuqXHHoCeuZialfFbl11SI/8\nLveRZTjHQxsz2z5vLtb6GBj2aNWGcyq+0K3q5kE9+rvUemp3pFBwKuzIk4GXsntgXJsP1UfdHisz\nwGxWVGmNuYr396wv1fceOaKKhj795KnjMdbFFmTseuqLey5qX2lbVOvCd063ZvSqsxljk34dLe+M\neV/k65HoCn5kVlFJVY92FDenObrMsOt9rm4ZUPV0vYoth9OfuEnSpIkWsonctbYkaklVJmUmdzH7\nGZHrdlanXAg7k/aVtmasCOPMJNxSS0eLb83wuNdUe+R0+CLq0KTzKTJbUydTfvp0sX75/KmoADli\nI9gAR/H5g0lbe+WqGORDG8t0sqonfJ1zgsE8v6s6o+NJWASQ5RGwIN1aHslE1QLIkX9bU6xbVx3K\n9TAkpdZu0HRabRpf/70RhS2lqe4bYZsvKDC9NCHVd3zNtkoNjXp16FxH1NMw+7Rc7gm1946aavcZ\nKjJ7oqHDGdliL+25aOpxyT5LqXwsMv8LkqXlKTYfcyLb1iYzluMiiracL0VtI/w19XjtmXCVVHXr\niS0Vtr9ndusbmtDvDtVbLsLYPTDuqItWkvTjJ47r+48dzeg+bn/4iLw2Tc5XbzB/YeRsrcvWwNDB\ns+3yTmeVWV3CfPBsu9btrLJtTE5HsAGOcve6k/rxk8dT/gJnMwARCJj7ITxR2Z3yto+WJy60FyrR\nVaxUl2MA2ZCrQqqR+uN0m3C6F3ebm3RKSTo/pMkwDG08aG7Zwckqc5kNlzee4L4kx/mZJXBDY17d\ns75U/5qk5askFYUUZLSSeJPTsG7EgDuTpPWm8vS6B8Y1PunLSM2K4gtdUVepw/Zj4y53ldi7fCJZ\nHZdQY5M+rU6z85NVLveEvvvwYZ2pdaW/sQTvR/GFLn3v0SMpZ1bGsm5ntc7X96WUnr6zuEnn6mI/\nx2DQsPz5HRr16DsPHdaBM2166q0LuhSyvDb0/NQwjKgr9ok0dA7p3587qWd35G6iOTrh07HpAqgt\n3SNpB3cGRzx6/I1ydfaNyTAMHS3vjNuxYXjcm1bNA5d7QmV1rqhlIfHe5/FJv57eeiHlwFCiz028\nz1uk0ZDCr5fa3WGfkw3761RS1aNA0FlBp0wh2ABHmbmyGtn2KxYrE2p70rgzN5F/dZ/5Ip8THr9K\nLAQ0gGR8/iDtnRwuWWZTrM4P8dLxLe0/Q4fBmStGg6OesElH//Bk0n1ayZx59Z26lP9mdn+2Xp1M\nPWxh/S1Ivq+Sqh794PFjejlB4ekLjf0qrelJ+WrlC2/XRN0WWpAt3m97S/eI1u+ukccXUFFZh6l2\noD0DuVsG05/hTLFEjlV0yesPpnROkVSMj82hc1P1W45WWDu2nL7Yq7dLmqN2YxhG0rT+YNDQ1mNN\neuqt2MUvb3/4sOWlgefqXPIHgnr9wCWdq3OFHSdCDzNrtlbq9oePmF6C0Nw1NUk+myAIZOZIMDji\n0RuH66P3a+Kg8OyOKr2456J+8fxJ3ffS6bCC6v+25oTqp7MA/IGg9p5qjZkhFjoZ33K4QRUN/Xp2\nR5Xq2tx6ac9F3fvi6aTjsHKR8GdrS/RkxPv9wts1+pfHj8UMEIQut8jE0otEQYnQ1/XB187FPO7N\nlyxkgg2S6tuHtGZbpby+gIbHvTpyvmPeRJvmCjMnvkHD0LdXF+nWVYeiUqi3Hm00XRjSKcvOX95b\nG/MKba97wubK05hvfvP6Od251hk9r+eDzUX2rCefFef8xWw6fjJjGW7VJ0mnqqMzIhJlxlxMUPg0\nU/wBQ4fPx59kpbye14HnnfECVL2D43psc7nWbq/S8zFOolM1FLosJ85v7H++dFrHK7r0xJYKvbqv\nNmnNoVyeyHcPjGunQ2tipCr07Wh3jerpkM4w6XbieGZbZczuNr/dUqHvP3ZUoxM+rdtpbUlqIGjo\nYmsGCn6HnASenb7KbbVzhD8Q1PbjTeoeGNfpi73yeAOmgojrdlZpz8lWbT+eOIMtViZO03SBUpd7\naszl0y3cpamg7it7p34nDp3r0Oai+qjzyYqGft22uki1rVPHXN900NUfCM5m9I7HCb5k4jvZ4RrT\nuMefNNj8z4/GWCYy/V4GgsGEAaBUbDvWqINno1sYx8yIcOAxPxNy28jYIR54bSq95g8+eK2OX+jS\npfYhGYb05T+6Iexx2441qm9oUt/+H5/MxTDnlUxM6BMtf9h5ojmsenekJ0IOtl5/QCeru7V82WJH\nBqV2ZjB9GvNDA51NsspsWmY8uS68+f3HjurvvvQh/fc/fn9O9j8y7tVvMlzcNJ5EQeo3iqKLbcZT\n0zKYMJ051lucy7d9ePxyLYKyND+/kUKf1qTXr8WLFqiw4HKB0J7BqWyFZMtGInX0jemGd19pzyCT\n+PXLZ+JOuBJxuSe08l3LbBhB9Ifjly+c0kdvWKFv3fL7s7fVtg7q4zddY2qLBZoqjGhWWZ1Lrx+o\n0//95Q/rdIyC3IlUTE+A+4YmVFKVWgbnzhPNKowziZvw+LV4UaEWFFq/1hrra2doqqvN7998zez7\nZxhG0toMxyq6tP1402zQ4It/+L7ZbJzuBMVp+6eDG8lq5zyzzcyFJyPmf7mnM4ciOyzNdLHZc6p1\n6rMzfSAaGffNtg1OvDeHXLELcfBMuzbFKI5sRbzCuzPH67D6EYZmAw6p1hjKJwQbQgSCxmyUNlah\ntJkPULJgw93rTuqm65fr9r/5VNzHGMZUm6+li3kLDMNQQQr5VLEio5mu2RD6g7HlcIPco6n1bc8G\nJx7AAWRGaPrm8xFX/mIdDt853ZaxsUx4/Nqwvy5nwQYrk7psaO42327u6a2pZ6ON5rD4YCZ/cmc+\n2mOTvtmWrp/8wOUJcaxzAJ8/mHT55ciYV7Ix2FAfq+jc9NitfiZ/trZE6+/6Shqjiq/DNaYO11hY\nsGH162Wp7S+F04xX9tVqaMyr53aEH5/sqgMS75xna4LW599/7Kiuv2aZHrz9C0m2ndqd9R1DemVv\nrZYsWqBn7vhvkqZS50M/I8GgoY0HLte6udDYHxUsCA30t/bG71QU+RIahqFfv3JGvx8ROBqd8If8\n26erli0y/RZGvr4THr9+/tzJuEXcJ1MuFBr/KNLUNawDZ9r1v2/5uBYvWmBqa+l8rBK91ma99k6t\nxhNk/c1kXrwdp47M/a9YKziaD5jpZkBX/7i6+scTBhue3VGl0ppeffID18jjC+jub/7XLI7QOS61\nu/Xga+f0/f/rv+iPP/6esPtaukdUUtWt//WVj6igoEBeXyD8oJPigcWugIQTAw0A5q+TMZYcRDqS\nIN0/n6VSnM0uZgM3dmYexPr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"text": [
"<matplotlib.figure.Figure at 0xc54e55f8>"
]
}
],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Aunque la regresi\u00f3n efectivamente remueve la tendencia la se\u00f1al resultante adopta una forma inusual. Quiz\u00e1 esta aproximaci\u00f3n no es la m\u00e1s conveniente para este tipo de informaci\u00f3n, que siempre oscila entre $\\delta X_t$ y 0."
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"De-Trending por diferenciaci\u00f3n."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"El segundo enfoque es utilizando diferenciaci\u00f3n, definiendo al operador de diferenciaci\u00f3n como: \n",
"$$\\delta X_1 = X_{t - 1} = (1 - B)X_t$$\n",
"Donde B es llamado back shift operator $BX_t = X_{t-1}$\n",
"esta t\u00e9cnica puede resultar muy \u00fatil para remover tendencias exponenciales. Si se tiene la creencia de que se est\u00e1 lidiando con un conjunto de datos de orden $j$ la siguiente operaci\u00f3n puede ayudar para remover la tendencia de dicha se\u00f1al: $$B^j(X_t) = X_{t -1}$$\n",
"En otras palabras se realiza una diferenciaci\u00f3n $j$ veces, donde $j$ es la potencia de la se\u00f1al."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Differencing by hour forces us to drop the first value.\n",
"diffed_logged_ts = (logged_ts - logged_ts.shift())[1:]\n",
"\n",
"diffed_logged_ts[[1]].plot(figsize=(18,8),title='Tendencia de conteos de entrada por hora para la estacion 1 usando diferenciacion');"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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/U1Ytw+HzBXjx4b8gpBOreSIiIiJ3WLHie08nwa3YyiQi8jNLtsejuFKGLp2D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mdSrkJIEkzFhcPPc/XSsTB/Sh3RDZz0DNyEmY5uWW4aWZqtuV1O2EWfnbO4ZdkJHHz/LQZL9DSH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\nJK2AP23ZWEhoGjzJ4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LG23edYo7z86rHceHvmManV1Zfd4hixNYb6K2Nta2tsfx/l5Zea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\nEREREZFVWEwgIiIiIiIiIqv8P71zJtgBPD+6AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0xc54db470>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"En este caso parece que realizar una sola diferenciaci\u00f3n se obtiene una se\u00f1al sin tendencia mejor que la que se obtuvo realizando el ajuste de regresi\u00f3n. Es por lo anterior que se opt\u00f3 por trabajar con esta se\u00f1al para los siguientes pasos."
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Correlaci\u00f3n en la se\u00f1al."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Cuando se realiza regresi\u00f3n haciendo uso de series de tiempo es com\u00fan que los errores (residuos) tengan una estructura de serie de tiempo. Este hecho viola la asumci\u00f3n de independencia en los errores sostenida en la regresi\u00f3n de m\u00ednimos cuadrados. La consecuencia de esto es que las estimaciones en los coeficientes y sus errores est\u00e1ndar estar\u00e1n equivocados si se ignora la estructura de serie de tiempo en los errores.\n",
"\n",
"Antes de ajustar un modelo de regresi\u00f3n a la se\u00f1al hay que primero serciorarse el tipo de ruido con el que se est\u00e1 tratando. Las series de tiempo su hip\u00f3tesis asevera de que dicha se\u00f1al tiene una repetici\u00f3n dado un retardo $L$ de la se\u00f1al (Lag). El \u00edndice de correlaci\u00f3n se establece con la siguiente f\u00f3rmula:\n",
"\n",
"$$\\hat{R}\\left ( k \\right ) = \\frac{1}{n - k \\sigma^2}\\sum_{t=1}^{n-k}(X_t - \\mu)(X_{t+k} - \\mu)$$\n",
"\n",
"donde los valores del \u00edndice obtienen un 1 su existe una correlaci\u00f3n perfecta positiva, -1 para una correlaci\u00f3n perfecta negativa y 0 para indicar que no hay correlaci\u00f3n alguna.\n",
"El paquete de statsmodels cuenta con una funci\u00f3n que realiza un an\u00e1lisis de correlaci\u00f3n para la serie de datos con L=40 por defecto:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure(figsize=(18,8))\n",
"ax1 = fig.add_subplot(211)\n",
"fig = sm.graphics.tsa.plot_acf(diffed_logged_ts[[1]].values.squeeze(), lags=40, ax=ax1)\n",
"ax2 = fig.add_subplot(212)\n",
"fig = sm.graphics.tsa.plot_pacf(diffed_logged_ts[[1]], lags=40, ax=ax2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x6e19d978>"
]
}
],
"prompt_number": 12
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"La siguiente tabla sirve como una interpretaci\u00f3n r\u00e1pida para el patr\u00f3n obtenido por el correlograma generado por el ACF:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"t = [['Exponential, decaying to zero', 'Autoregressive model. Use the partial autocorrelation plot to identify the order of the autoregressive model.'],\n",
" ['Alternating positive and negative, decaying to zero', 'Autoregressive model. Use the partial autocorrelation plot to help identify the order.'],\n",
" ['One or more spikes, rest are essentially zero', 'Moving average model, order identified by where plot becomes zero.'],\n",
" ['Decay, starting after a few lags', 'Mixed autoregressive and moving average (ARMA) model.'],\n",
" ['All zero or close to zero', 'Data are essentially random.'], \n",
" ['High values at fixed intervals', 'Include seasonal autoregressive term.'], \n",
" ['No decay to zero', 'Series is not stationary.']]\n",
" \n",
"df = pd.DataFrame(t, columns=['Shape','Indicated Model'])\n",
"df"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Shape</th>\n",
" <th>Indicated Model</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>Exponential, decaying to zero</td>\n",
" <td>Autoregressive model. Use the partial autocorr...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>Alternating positive and negative, decaying to...</td>\n",
" <td>Autoregressive model. Use the partial autocorr...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>One or more spikes, rest are essentially zero</td>\n",
" <td>Moving average model, order identified by wher...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>Decay, starting after a few lags</td>\n",
" <td>Mixed autoregressive and moving average (ARMA)...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>All zero or close to zero</td>\n",
" <td>Data are essentially random.</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>High values at fixed intervals</td>\n",
" <td>Include seasonal autoregressive term.</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6</th>\n",
" <td>No decay to zero</td>\n",
" <td>Series is not stationary.</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 13,
"text": [
" Shape \\\n",
"0 Exponential, decaying to zero \n",
"1 Alternating positive and negative, decaying to... \n",
"2 One or more spikes, rest are essentially zero \n",
"3 Decay, starting after a few lags \n",
"4 All zero or close to zero \n",
"5 High values at fixed intervals \n",
"6 No decay to zero \n",
"\n",
" Indicated Model \n",
"0 Autoregressive model. Use the partial autocorr... \n",
"1 Autoregressive model. Use the partial autocorr... \n",
"2 Moving average model, order identified by wher... \n",
"3 Mixed autoregressive and moving average (ARMA)... \n",
"4 Data are essentially random. \n",
"5 Include seasonal autoregressive term. \n",
"6 Series is not stationary. "
]
}
],
"prompt_number": 13
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"El correlograma nos indica que el valor m\u00e1s alto de correlaci\u00f3n que se puede obtener es con un retardo L = 21. De cualquier forma el \u00edndice de correlaci\u00f3n no es muy fuerte, 0.3 si se es optimista.\n",
"Los correlogramas suelen servir como herramientas para decidir el orden al momento de realizar un modelo de autoregresi\u00f3n de media movil o modelo de auto regresi\u00f3n integrada de media movil, ARMA y ARIMA."
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"ARMA"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"El primer modelo que se utilizar\u00e1 ser\u00e1 la funci\u00f3n de regresi\u00f3n ARMA que se puede encontrar en statsmodels:\n",
"\n",
"http://statsmodels.sourceforge.net/devel/generated/statsmodels.tsa.arima_model.ARMA.fit.html"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"arma_mod20 = sm.tsa.ARMA(diffed_logged_ts[[1]].values, (18,21)).fit(disp=-1)\n",
"print arma_mod20.params"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[ 9.87233446e-05 2.76560031e-01 1.80854191e-02 -5.22597557e-01\n",
" -1.22627831e-01 -2.70819318e-01 1.31577583e-03 -2.63627404e-01\n",
" -2.34968493e-01 -2.22058124e-01 -1.50447430e-01 -1.60783382e-01\n",
" -2.89954605e-01 -2.15013694e-02 -3.54031523e-01 -1.82318624e-01\n",
" -9.29200032e-02 -2.44968225e-01 -1.90711200e-01 -7.76484262e-01\n",
" -8.37698579e-02 3.47190044e-01 -2.05324134e-01 1.31462912e-01\n",
" -2.16223771e-01 1.50440286e-01 -4.43374686e-02 -4.59824624e-02\n",
" 1.48635959e-02 -3.12235659e-02 1.03562965e-01 -2.20888205e-01\n",
" 1.86813297e-01 -9.18200780e-02 -1.93749002e-01 7.34298377e-02\n",
" 2.62769333e-02 -8.63392320e-02 4.63582419e-02 -6.45358848e-03]\n"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"C:\\Users\\ghost\\AppData\\Local\\Enthought\\Canopy\\User\\lib\\site-packages\\statsmodels-0.6.1-py2.7-win-amd64.egg\\statsmodels\\base\\model.py:466: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
" \"Check mle_retvals\", ConvergenceWarning)\n"
]
}
],
"prompt_number": 14
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"El listado de arriba muestra los valores obtenidos para cada coeficiente para cada predictor en la auto regresi\u00f3n, media m\u00f3vil m\u00e1s el origen de la regresi\u00f3n."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print arma_mod20.aic, arma_mod20.bic, arma_mod20.hqic"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"32270.0907588 32593.2677671 32375.9324198\n"
]
}
],
"prompt_number": 15
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\u00bfEl modelo actual obedece a la teor\u00eda?\n",
"Una introducci\u00f3n r\u00e1pida al \u00edndice de durbin-watson: Es una prueba que se puede realizar para ver lo bien que se ajust\u00f3 un modelo a los datos, los valores indican lo siguiente:\n",
"- si el valor est\u00e1 muy cerca de cero, la se\u00f1al tiene una correlaci\u00f3n positiva, \n",
"- valores muy cercanos a 4 tienen una correlaci\u00f3n negativa, \n",
"- valores muy cercanos a 2 no hay correlaci\u00f3n alguna\n",
"- valoes alejados de estos 3 indican insuficiente pruebas para sacar una conjetura de los datos\n",
"\n",
"T\u00e9cnicamente si utilizamos los residuos obtenidos de los modelos de regresi\u00f3n se espera que el valor obtenido solo describa ruido blanco, es decir, que en los residuos no se capte ning\u00fan tipo de correlaci\u00f3n alguna."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sm.stats.durbin_watson(arma_mod20.resid)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 16,
"text": [
"2.0008007474550977"
]
}
],
"prompt_number": 16
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Con lo que puede interpretarse que los residuos no cuentan con correlaci\u00f3n alguna."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A continuaci\u00f3n se realiza un Q-Q plot, graficando la distribuci\u00f3n de los datos reales contra los pronosticados por el residuo del modelo:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"resid = arma_mod20.resid\n",
"\n",
"fig = plt.figure(figsize=(12,8))\n",
"ax = fig.add_subplot(111)\n",
"fig = qqplot(resid, line='q', ax=ax, fit=True)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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16lRWrly5dosGQEFBQZMWJklq/WINJjmDe5jIJHrxJSvpzFhymckoSog1PMuw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\nAICB/weM/jjbmLXHoAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x6e1b0c18>"
]
}
],
"prompt_number": 17
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"El correlograma de los residuos obtenidos por el modelo confirman que no existe correlaci\u00f3n alguna en ellos. Ofreciendo evidencia de que el modelo se ajust\u00f3 a los datos."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure(figsize=(16,8))\n",
"ax1 = fig.add_subplot(211)\n",
"fig = sm.graphics.tsa.plot_acf(resid, lags=40, ax=ax1)\n",
"ax2 = fig.add_subplot(212)\n",
"fig = sm.graphics.tsa.plot_pacf(resid, lags=40, ax=ax2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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jxqVSqdR9rwigf9TR0ZGWlpbe5cbGxpTL5QGsCAaXadOmZciQIb3LlUql998j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\nAAAAYIk/AMJRXu1EdhgCAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x6883ffd0>"
]
}
],
"prompt_number": 18
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"diffed_logged_ts['ARMA predicted'] = arma_mod20.fittedvalues"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"diffed_logged_ts[[1, 'ARMA predicted']].plot(figsize=(18, 12),title='Prediccion ARMA vs senal real')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 20,
"text": [
"<matplotlib.axes._subplots.AxesSubplot at 0x88dc5978>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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0PN/MAyRVHqivV5v+zTwoHZYBBDAfeIu9AI3owYQnn3wSn3/+OV555RVotVp8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hjJFTZEQ9zEHBdVX6kkgsG8ZyAsawaQn4t0UQUFGU7vfvQH4T4Uk4jT097rD1oNK8lLBpCqW+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\n",
"text": [
"<matplotlib.figure.Figure at 0xc54d3240>"
]
}
],
"prompt_number": 20
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Las siguientes son pruebas estad\u00edsticas comunes que se aplican a los coeficientes. Aplicando estas pruebas a los residuos se aprecia que no hay un retardo en tiempo que pueda explicar el fen\u00f3meno."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"r,q,p = sm.tsa.acf(resid, qstat=True)\n",
"data = np.c_[range(1,41), r[1:], q, p]\n",
"table = pd.DataFrame(data, columns=['lag', \"AC\", \"Q\", \"Prob(>Q)\"])\n",
"print table.set_index('lag')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" AC Q Prob(>Q)\n",
"lag \n",
"1.0 -0.000421 0.003468 0.953041\n",
"2.0 -0.000309 0.005334 0.997337\n",
"3.0 0.000513 0.010483 0.999715\n",
"4.0 0.000907 0.026603 0.999912\n",
"5.0 -0.000128 0.026922 0.999994\n",
"6.0 0.001683 0.082412 0.999989\n",
"7.0 0.004760 0.526339 0.999344\n",
"8.0 0.002318 0.631619 0.999678\n",
"9.0 0.005366 1.195840 0.998837\n",
"10.0 0.003780 1.475741 0.999009\n",
"11.0 0.006451 2.291147 0.997184\n",
"12.0 0.003738 2.564978 0.997913\n",
"13.0 0.007246 3.593961 0.994794\n",
"14.0 0.007611 4.729332 0.989234\n",
"15.0 0.009192 6.385464 0.972520\n",
"16.0 0.008370 7.758442 0.955734\n",
"17.0 0.010439 9.894453 0.907978\n",
"18.0 0.014561 14.050611 0.725786\n",
"19.0 0.008152 15.353313 0.699893\n",
"20.0 0.010473 17.503676 0.620067\n",
"21.0 0.023558 28.384141 0.129589\n",
"22.0 0.010483 30.538723 0.105948\n",
"23.0 -0.002080 30.623582 0.132325\n",
"24.0 -0.002911 30.789747 0.159938\n",
"25.0 -0.004429 31.174431 0.183308\n",
"26.0 -0.008041 32.442224 0.178902\n",
"27.0 -0.007534 33.555506 0.179352\n",
"28.0 -0.004468 33.947017 0.202623\n",
"29.0 -0.000404 33.950220 0.241087\n",
"30.0 -0.009222 35.618475 0.220834\n",
"31.0 -0.005071 36.122808 0.241479\n",
"32.0 -0.008552 37.557585 0.229517\n",
"33.0 -0.002623 37.692559 0.263186\n",
"34.0 -0.008097 38.978736 0.255721\n",
"35.0 -0.001027 38.999422 0.294599\n",
"36.0 -0.009452 40.752196 0.269280\n",
"37.0 -0.021077 49.468396 0.082529\n",
"38.0 -0.009872 51.380608 0.072270\n",
"39.0 0.002148 51.471172 0.087175\n",
"40.0 0.011681 54.148972 0.066932\n"
]
}
],
"prompt_number": 22
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Con la intenci\u00f3n de contrastar los resultados obtenidos con la regresi\u00f3n ARMA anterior ahora se pretende elaborar otro modelo de regresi\u00f3n con un menor n\u00famero de par\u00e1metros para la regresi\u00f3n. Para este caso se intenta con solo un coeficiente que pertenece a un modelo de de auto regresi\u00f3n de primer orden AR(1)."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"arma_mod30 = sm.tsa.ARMA(diffed_logged_ts[[1]], (1,0)).fit(disp=-1)\n",
"print arma_mod30.params"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"const 9.459360e-09\n",
"ar.L1.1 -1.989579e-02\n",
"dtype: float64\n"
]
}
],
"prompt_number": 23
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print arma_mod30.aic, arma_mod30.bic, arma_mod30.hqic"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"42987.9169674 43011.5640655 42995.6614792\n"
]
}
],
"prompt_number": 24
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sm.stats.durbin_watson(arma_mod30.resid)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 25,
"text": [
"1.9991115893756646"
]
}
],
"prompt_number": 25
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"resid = arma_mod30.resid\n",
"\n",
"fig = plt.figure(figsize=(12,8))\n",
"ax = fig.add_subplot(111)\n",
"fig = qqplot(resid, line='q', ax=ax, fit=True)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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5+axDkqS1ZFpd3pBPKaOCoUyjBytYTg/+wMWcO/8Mgg02zF+hkjq9RkNzSUkJ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\nAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0xc35436d8>"
]
}
],
"prompt_number": 26
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"El correlograma tanto en ACF como en el PACF muestran que el modelo no afect\u00f3 en casi nada a los residuos."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure(figsize=(18,8))\n",
"ax1 = fig.add_subplot(211)\n",
"fig = sm.graphics.tsa.plot_acf(resid.values.squeeze(), lags=40, ax=ax1)\n",
"ax2 = fig.add_subplot(212)\n",
"fig = sm.graphics.tsa.plot_pacf(resid, lags=40, ax=ax2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0xc4528b70>"
]
}
],
"prompt_number": 27
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"diffed_logged_ts['ARMA predicted2'] = arma_mod30.fittedvalues"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 28
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"diffed_logged_ts[[1, 'ARMA predicted2']].plot(figsize=(18, 12))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 29,
"text": [
"<matplotlib.axes._subplots.AxesSubplot at 0x6883eba8>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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T49Eby3PwrEbPaSyJ97KovL4L767Jx+xVuWonhUQK1bY6Wd2BOWsL8M7n+VFJ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"text": [
"<matplotlib.figure.Figure at 0xde94a20>"
]
}
],
"prompt_number": 29
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"r,q,p = sm.tsa.acf(resid.values.squeeze(), qstat=True)\n",
"data = np.c_[range(1,41), r[1:], q, p]\n",
"table = pd.DataFrame(data, columns=['lag', \"AC\", \"Q\", \"Prob(>Q)\"])\n",
"print table.set_index('lag')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" AC Q Prob(>Q)\n",
"lag \n",
"1.0 0.000444 0.003864 9.504315e-01\n",
"2.0 0.019390 7.367470 2.512894e-02\n",
"3.0 -0.153498 468.867757 2.661024e-101\n",
"4.0 -0.182224 1119.301192 4.960512e-241\n",
"5.0 -0.107115 1344.057919 1.819474e-288\n",
"6.0 -0.007980 1345.305507 1.684473e-287\n",
"7.0 0.045523 1385.904953 4.328258e-295\n",
"8.0 -0.009970 1387.852385 2.395252e-294\n",
"9.0 -0.099699 1582.605394 0.000000e+00\n",
"10.0 -0.043600 1619.853211 0.000000e+00\n",
"11.0 -0.034101 1642.640160 0.000000e+00\n",
"12.0 0.029148 1659.288533 0.000000e+00\n",
"13.0 0.041644 1693.273879 0.000000e+00\n",
"14.0 -0.016405 1698.548377 0.000000e+00\n",
"15.0 -0.081875 1829.931788 0.000000e+00\n",
"16.0 -0.177463 2447.197872 0.000000e+00\n",
"17.0 -0.146848 2869.883617 0.000000e+00\n",
"18.0 -0.030314 2887.896667 0.000000e+00\n",
"19.0 0.124822 3193.320426 0.000000e+00\n",
"20.0 0.264973 4569.732802 0.000000e+00\n",
"21.0 0.263214 5927.995706 0.000000e+00\n",
"22.0 0.139425 6309.122549 0.000000e+00\n",
"23.0 0.017996 6315.472702 0.000000e+00\n",
"24.0 -0.078855 6437.397981 0.000000e+00\n",
"25.0 -0.085210 6579.775568 0.000000e+00\n",
"26.0 -0.045672 6620.681428 0.000000e+00\n",
"27.0 -0.020524 6628.941902 0.000000e+00\n",
"28.0 -0.022403 6638.785412 0.000000e+00\n",
"29.0 -0.045339 6679.103358 0.000000e+00\n",
"30.0 -0.060820 6751.657876 0.000000e+00\n",
"31.0 -0.031464 6771.076328 0.000000e+00\n",
"32.0 -0.004068 6771.400899 0.000000e+00\n",
"33.0 0.022328 6781.181156 0.000000e+00\n",
"34.0 -0.009912 6783.108565 0.000000e+00\n",
"35.0 -0.057108 6847.092306 0.000000e+00\n",
"36.0 -0.097274 7032.743581 0.000000e+00\n",
"37.0 -0.110484 7272.252741 0.000000e+00\n",
"38.0 -0.046920 7315.450433 0.000000e+00\n",
"39.0 0.048766 7362.116386 0.000000e+00\n",
"40.0 0.128348 7685.390280 0.000000e+00\n"
]
}
],
"prompt_number": 30
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Los valores obtenidos por este regresor muestran un pobre ajuste del modelo para explicar la se\u00f1al. los valores residuales obtenidos por la regresi\u00f3n mostrados en el correlograma tienen casi el mismo comportamiento que los originales, tambi\u00e9n puede verse que el primer modelo de regresi\u00f3n explica mejor la variaci\u00f3n que el segundo, super\u00e1ndolo en todos los aspectos medidos aqu\u00ed."
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"ARIMA regresor."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The data may follow an ARIMA(p,d,0) model if the ACF and PACF plots of the differenced data show the following patterns:\n",
"- the ACF is exponentially decaying or sinusoidal;\n",
"- there is a significant spike at lag p in PACF, but none beyond lag p.\n",
"\n",
"The data may follow an ARIMA(0,d,q) model if the ACF and PACF plots of the differenced data show the following patterns:\n",
"- the PACF is exponentially decaying or sinusoidal;\n",
"- there is a significant spike at lag q in ACF, but none beyond lag q.\n",
"\n",
"In practice, the sample autocorrelation and partial autocorrelation functions are random variables and do not give the same picture as the theoretical functions. This makes the model identification more difficult. In particular, mixed models can be particularly difficult to identify. Although experience is helpful, developing good models using these sample plots can involve much trial and error."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"model = sm.tsa.ARIMA(logged_ts[[1]], order=(1, 0, 0)) \n",
"results = model.fit(disp=-1)\n",
"#results.fittedvalues.plot(figsize=(16, 12)) "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 39
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"logged_ts['predicted 1'] = results.fittedvalues\n",
"logged_ts[[1, 'predicted 1']].plot(figsize=(18, 12))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 40,
"text": [
"<matplotlib.axes._subplots.AxesSubplot at 0x6e1a5630>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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IiCgcg3YHzCZjzDwHDdodsJhNXn87o1ia8LAxIYjvfvdm/PrX9/h8tn7958P/Hj8+FXPm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KUpwKiiXHG44XZUjha0wfNonRVaaQrIzUMbmIQFC1qhc/SFlu/8jkuvzwI595Ea2sAkoHeWZa5c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\n",
"text": [
"<matplotlib.figure.Figure at 0x6e1a5a58>"
]
}
],
"prompt_number": 40
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Aunque de cierta manera luce la regresi\u00f3n luce aceptable no hay que olvidar que se est\u00e1 haciendo regresi\u00f3n sobre los conteos con la tendencia incluida. Con este enfoque la variaci\u00f3n es peque\u00f1a en comparaci\u00f3n."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"model = sm.tsa.ARIMA(diffed_logged_ts[[1]], order=(1, 0, 0)) \n",
"results = model.fit(disp=-1) "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 41
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"diffed_logged_ts['predicted 1'] = results.fittedvalues\n",
"diffed_logged_ts[[1, 'predicted 1']].plot(figsize=(18, 12))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 42,
"text": [
"<matplotlib.axes._subplots.AxesSubplot at 0x702d780>"
]
},
{
"metadata": {},
"output_type": "display_data",
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