statsmodels.discrete.discrete_model.GeneralizedPoisson

class statsmodels.discrete.discrete_model.GeneralizedPoisson(endog, exog, p=1, offset=None, exposure=None, missing='none', check_rank=True, **kwargs)

Generalized Poisson Model

Parameters

endogarray_like

A 1-d endogenous response variable. The dependent variable.

exogarray_like

A nobs x k array where nobs is the number of observations and k is the number of regressors. An intercept is not included by default and should be added by the user. See statsmodels.tools.add_constant.

pscalar

P denotes parameterizations for GP regression. p=1 for GP-1 and p=2 for GP-2. Default is p=1.

offsetarray_like

Offset is added to the linear prediction with coefficient equal to 1.

exposurearray_like

Log(exposure) is added to the linear prediction with coefficient equal to 1.missing : str Available options are ‘none’, ‘drop’, and ‘raise’. If ‘none’, no nan checking is done. If ‘drop’, any observations with nans are dropped. If ‘raise’, an error is raised. Default is ‘none’.

check_rankbool

Check exog rank to determine model degrees of freedom. Default is True. Setting to False reduces model initialization time when exog.shape[1] is large.

Attributes

endogndarray

A reference to the endogenous response variable

exogndarray

A reference to the exogenous design.

Methods

cdf(X)	The cumulative distribution function of the model.
cov_params_func_l1(likelihood_model, xopt, …)	Computes cov_params on a reduced parameter space corresponding to the nonzero parameters resulting from the l1 regularized fit.
fit([start_params, method, maxiter, …])	Fit the model using maximum likelihood.
fit_regularized([start_params, method, …])	Fit the model using a regularized maximum likelihood.
from_formula(formula, data[, subset, drop_cols])	Create a Model from a formula and dataframe.
hessian(params)	Generalized Poisson model Hessian matrix of the loglikelihood
information(params)	Fisher information matrix of model.
initialize()	Initialize is called by statsmodels.model.LikelihoodModel.__init__ and should contain any preprocessing that needs to be done for a model.
loglike(params)	Loglikelihood of Generalized Poisson model
loglikeobs(params)	Loglikelihood for observations of Generalized Poisson model
pdf(X)	The probability density (mass) function of the model.
predict(params[, exog, exposure, offset, which])	Predict response variable of a count model given exogenous variables.
score(params)	Score vector of model.

score_obs

Methods

cdf(X)	The cumulative distribution function of the model.
cov_params_func_l1(likelihood_model, xopt, …)	Computes cov_params on a reduced parameter space corresponding to the nonzero parameters resulting from the l1 regularized fit.
fit([start_params, method, maxiter, …])	Fit the model using maximum likelihood.
fit_regularized([start_params, method, …])	Fit the model using a regularized maximum likelihood.
from_formula(formula, data[, subset, drop_cols])	Create a Model from a formula and dataframe.
hessian(params)	Generalized Poisson model Hessian matrix of the loglikelihood
information(params)	Fisher information matrix of model.
initialize()	Initialize is called by statsmodels.model.LikelihoodModel.__init__ and should contain any preprocessing that needs to be done for a model.
loglike(params)	Loglikelihood of Generalized Poisson model
loglikeobs(params)	Loglikelihood for observations of Generalized Poisson model
pdf(X)	The probability density (mass) function of the model.
predict(params[, exog, exposure, offset, which])	Predict response variable of a count model given exogenous variables.
score(params)	Score vector of model.
score_obs(params)

Properties

endog_names	Names of endogenous variables.
exog_names	Names of exogenous variables.