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statsmodels.discrete.discrete_model.Poisson.pdf

Poisson.pdf(X)[source]

Poisson model probability mass function

Parameters:

X : array-like

X is the linear predictor of the model. See notes.

Returns:

pdf : ndarray

The value of the Poisson probability mass function, PMF, for each point of X.

Notes

The PMF is defined as

\frac{e^{-\lambda_{i}}\lambda_{i}^{y_{i}}}{y_{i}!}

where \lambda assumes the loglinear model. I.e.,

\ln\lambda_{i}=x_{i}\beta

The parameter X is x_{i}\beta in the above formula.

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