What are Count Distributions in the StatsModels library?

Recipe Objective - What are Count Distributions in the StatsModels library?

The discrete module contains classes for counting distributions based on the discretization of continuous distributions, as well as specific count distributions that are not available in scipy.distributions, such as the generalized Poisson and zero expansion count models. The latter primarily supports the corresponding models in statsmodels.discrete. Some methods are not specifically implemented and may use slow inherited generic methods.

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Methods:

DiscretizedCount(args, *kwds)
Count distribution based on the discretized distribution

DiscretizedModel(endog[, exog, distr])
experimental model to fit discretized distribution

genpoisson_p
Generalized Poisson distribution

zigenpoisson
Zero Inflated Generalized Poisson distribution

zinegbin
Zero Inflated Generalized Negative Binomial distribution

zipoisson
Zero Inflated Poisson distribution