`scipy.stats._discrete_distns:skellam_gen`

source: build-install/usr/lib/python3.14/site-packages/scipy/stats/_discrete_distns.py:1710

Signature

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

Members

Summary

A Skellam discrete random variable.

Extended Summary

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Notes

Probability distribution of the difference of two correlated or uncorrelated Poisson random variables.

Let $k_{1}$ and $k_{2}$ be two Poisson-distributed r.v. with expected values $λ_{1}$ and $λ_{2}$ . Then, $k_{1} - k_{2}$ follows a Skellam distribution with parameters $μ_{1} = λ_{1} - ρ λ_{1} λ_{2}$ and $μ_{2} = λ_{2} - ρ λ_{1} λ_{2}$ , where $ρ$ is the correlation coefficient between $k_{1}$ and $k_{2}$ . If the two Poisson-distributed r.v. are independent then $ρ = 0$ .

Parameters $μ_{1}$ and $μ_{2}$ must be strictly positive.

skellam takes $μ_{1}$ and $μ_{2}$ as shape parameters.

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Aliases

scipy.stats._discrete_distns.skellam_gen