`scipy.stats._discrete_distns:yulesimon_gen`

source: build-install/usr/lib/python3.14/site-packages/scipy/stats/_discrete_distns.py:1783

Signature

class yulesimon_gen(a = 0, b = inf, name = None, badvalue = None, moment_tol = 1e-08, values = None, inc = 1, longname = None, shapes = None, seed = None)

Members

_argcheck
_cdf
_logpmf
_logsf
_pmf
_rvs
_sf
_shape_info
_stats

Summary

A Yule-Simon discrete random variable.

Extended Summary

%(before_notes)s

Notes

The probability mass function for the yulesimon is:

f (k) = α B (k, α + 1)

for $k = 1, 2, 3, ...$ , where $α > 0$ . Here $B$ refers to the scipy.special.beta function.

The sampling of random variates is based on pg 553, Section 6.3 of ^[1]. Our notation maps to the referenced logic via $α = a - 1$ .

For details see the wikipedia entry ^[2].

Aliases

scipy.stats._discrete_distns.yulesimon_gen