`scipy.stats._discrete_distns:poisson_binom_gen`

source: /scipy/stats/_discrete_distns.py :1565

Signature

   class     poisson_binom_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 Poisson Binomial discrete random variable.

Extended Summary

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Notes

The probability mass function for poisson_binom is:

f (k; p_{1}, p_{2}, ..., p_{n}) = A \in F_{k} \sum i \in A \prod p_{i} j \in A^{C} \prod 1 - p_{j}

where $k \in {0, 1, \dots, n - 1, n}$ , $F_{k}$ is the set of all subsets of $k$ integers that can be selected ${0, 1, \dots, n - 1, n}$ , and $A^{C}$ is the complement of a set $A$ .

poisson_binom accepts a single array argument p for shape parameters $0 \leq p_{i} \leq 1$ , where the last axis corresponds with the index $i$ and any others are for batch dimensions. Broadcasting behaves according to the usual rules except that the last axis of p is ignored. Instances of this class do not support serialization/unserialization.

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Aliases

scipy.stats._discrete_distns._pb_cls