statsmodels.discrete.discrete_model.GeneralizedPoisson.loglikeobs

GeneralizedPoisson.loglikeobs(params)

Loglikelihood for observations of Generalized Poisson model

Parameters:

paramsarray_like

The parameters of the model.

Returns:

loglikendarray

The log likelihood for each observation of the model evaluated at params. See Notes

Notes

$$\ln L=\sum _{i=1}^n[{\mu }_i+(y_i-1)\ast ln({\mu }_i+\alpha \ast {\mu }_i^{p-1}\ast y_i)-y_i\ast ln(1+\alpha \ast {\mu }_i^{p-1})-ln(y_i!)-\frac{{\mu }_i+\alpha \ast {\mu }_i^{p-1}\ast y_i}{1+\alpha \ast {\mu }_i^{p-1}}]$$

for observations $i=1,...,n$