`scipy.stats._continuous_distns:burr_gen`

source: /scipy/stats/_continuous_distns.py :1145

Signature

   class     burr_gen (    momtype    =  1   ,    a    =  None   ,    b    =  None   ,    xtol    =  1e-14   ,    badvalue    =  None   ,    name    =  None   ,    longname    =  None   ,    shapes    =  None   ,    seed    =  None     )

Members

Summary

A Burr (Type III) continuous random variable.

Extended Summary

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Notes

The probability density function for burr is:

f (x; c, d) = c d \frac{x ^{- c - 1}}{( 1 + x ^{- c} ) ^{d + 1}}

for $x >= 0$ and $c, d > 0$ .

burr takes c and d as shape parameters for $c$ and $d$ .

This is the PDF corresponding to the third CDF given in Burr's list; specifically, it is equation (11) in Burr's paper ^[1]. The distribution is also commonly referred to as the Dagum distribution ^[2]. If the parameter $c < 1$ then the mean of the distribution does not exist and if $c < 2$ the variance does not exist ^[2]. The PDF is finite at the left endpoint $x = 0$ if $c * d >= 1$ .

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Aliases

scipy.stats._continuous_distns.burr_gen