`scipy.stats._continuous_distns:powerlaw_gen`

source: /scipy/stats/_continuous_distns.py :8588

Signature

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

Members

Summary

A power-function continuous random variable.

Extended Summary

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Notes

The probability density function for powerlaw is:

f (x, a) = a x^{a - 1}

for $0 \leq x \leq 1$ , $a > 0$ .

powerlaw takes a as a shape parameter for $a$ .

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For example, the support of powerlaw can be adjusted from the default interval [0, 1] to the interval [c, c+d] by setting loc=c and scale=d. For a power-law distribution with infinite support, see pareto. For a power-law distribution described by PDF:

f (x; a, l, h) = \frac{a}{h ^{a} - l ^{2}} x^{a - 1}

with $a \neq = 0$ and $0 < l < x < h$ , see truncpareto.

powerlaw is a special case of beta with b=1.

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Aliases

scipy.stats._continuous_distns.powerlaw_gen