bundles / scipy 1.17.1 / scipy / stats / _continuous_distns / burr12_gen

class

`scipy.stats._continuous_distns:burr12_gen`

source: /scipy/stats/_continuous_distns.py :1270

Signature

   class     burr12_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 XII) continuous random variable.

Extended Summary

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Notes

The probability density function for burr12 is:

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

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

burr12 takes c and d as shape parameters for $c$ and $d$ .

This is the PDF corresponding to the twelfth CDF given in Burr's list; specifically, it is equation (20) in Burr's paper ^[1].

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The Burr type 12 distribution is also sometimes referred to as the Singh-Maddala distribution from NIST ^[2].

See also

burr: Burr Type III distribution
fisk: a special case of either burr or burr12 with d=1

Aliases

scipy.stats._continuous_distns.burr12_gen