1.2.13.1.2. statsmodels.api.Poisson.cdf¶
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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.