statsmodels.genmod.families.family.Poisson¶
-
class
statsmodels.genmod.families.family.
Poisson
(link=None)[source]¶ Poisson exponential family.
- Parameters
link : a link instance, optional
The default link for the Poisson family is the log link. Available links are log, identity, and sqrt. See statsmodels.families.links for more information.
See also
statsmodels.genmod.families.family.Family
Parent class for all links.
- Link Functions
Further details on links.
Attributes
Poisson.link
(a link instance) The link function of the Poisson instance.
Poisson.variance
(varfuncs instance)
variance
is an instance of statsmodels.genmod.families.varfuncs.muMethods
deviance
(endog, mu[, var_weights, …])The deviance function evaluated at (endog, mu, var_weights, freq_weights, scale) for the distribution.
fitted
(lin_pred)Fitted values based on linear predictors lin_pred.
loglike
(endog, mu[, var_weights, …])The log-likelihood function in terms of the fitted mean response.
loglike_obs
(endog, mu[, var_weights, scale])The log-likelihood function for each observation in terms of the fitted mean response for the Poisson distribution.
predict
(mu)Linear predictors based on given mu values.
resid_anscombe
(endog, mu[, var_weights, scale])The Anscombe residuals
resid_dev
(endog, mu[, var_weights, scale])The deviance residuals
starting_mu
(y)Starting value for mu in the IRLS algorithm.
weights
(mu)Weights for IRLS steps
Methods
deviance
(endog, mu[, var_weights, …])The deviance function evaluated at (endog, mu, var_weights, freq_weights, scale) for the distribution.
fitted
(lin_pred)Fitted values based on linear predictors lin_pred.
loglike
(endog, mu[, var_weights, …])The log-likelihood function in terms of the fitted mean response.
loglike_obs
(endog, mu[, var_weights, scale])The log-likelihood function for each observation in terms of the fitted mean response for the Poisson distribution.
predict
(mu)Linear predictors based on given mu values.
resid_anscombe
(endog, mu[, var_weights, scale])The Anscombe residuals
resid_dev
(endog, mu[, var_weights, scale])The deviance residuals
starting_mu
(y)Starting value for mu in the IRLS algorithm.
weights
(mu)Weights for IRLS steps
Properties
Link function for family