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Statistics: Kurtosis & Describe
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from collections import namedtuple | |
import statistics as st | |
from collections import Counter | |
def kurtosis(a): | |
N = len(a) | |
mean = st.mean(a) | |
sd = st.variance(a)**0.5 | |
kurt = sum([(i-mean)**4 for i in a])/N/sd**4 | |
return kurt | |
DescribeResults = namedtuple("DescribeResults", | |
("nobs", "minmax", "mean", "variance", | |
"median", "skewness", "kurtosis")) | |
def describe(a): | |
nobs = len(a) | |
minmax = (min(a), max(a)) | |
mean = st.mean(a) | |
var = st.variance(a) | |
med = st.median(a) | |
mo = Counter(a).most_common()[0][0] | |
skewness = (mean-mo)/var**0.5 | |
kurt = kurtosis(a) | |
return DescribeResults(nobs, minmax, mean, var, med, skewness, kurt) | |
if __name__ == "__main__": | |
a = [1, 2, 10] | |
print(describe(a)) |
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import statistics as st | |
from collections import Counter | |
def kurtosis(a): | |
N = len(a) | |
mean = st.mean(a) | |
sd = st.variance(a)**0.5 | |
kurt = sum([(i-mean)**4/N for i in a])/sd**4 | |
return kurt | |
def describe(a): | |
nobs = len(a) | |
minmax = (min(a), max(a)) | |
mean = st.mean(a) | |
var = st.variance(a) | |
med = st.median(a) | |
mo = Counter(a).most_common()[0][0] | |
skewness = (mean-mo)/var**0.5 | |
kurt = kurtosis(a) | |
return nobs, minmax, mean, var, med, skewness, kurt | |
if __name__ == "__main__": | |
a = [1,2,3,4,5] | |
print(describe(a)) |
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