statsmodels.discrete.discrete_model.Poisson.cdf¶
- Poisson.cdf(X)[source]¶
Poisson model cumulative distribution function
- Parameters:
- Xarray_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.