statsmodels.discrete.discrete_model.Poisson.cdf

Poisson.cdf(X)[source]

Poisson model cumulative distribution function

Parameters:

X : array-like

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

Returns:

The value of the Poisson CDF at each point.

Notes

The CDF is defined as

\exp\left(-\lambda\right)\sum_{i=0}^{y}\frac{\lambda^{i}}{i!}

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

\ln\lambda_{i}=X\beta

The parameter X is X\beta in the above formula.