7.2.3.3.2.4. statsmodels.genmod.families.family.Binomial.loglike¶

Binomial.loglike(endog, mu, scale=1.0)[source]¶

Loglikelihood function for Binomial exponential family distribution.

Parameters:	endog : array-like Endogenous response variable mu : array-like Fitted mean response variable scale : float, optional The default is 1.
Returns:	llf : float The value of the loglikelihood function evaluated at (endog,mu,scale) as defined below.

Notes

If endog is binary: llf = scale*sum(endog*log(mu/(1-mu))+log(1-mu))

If endog is binomial: llf = scale*sum(gammaln(n+1) - gammaln(y+1) - gammaln(n-y+1) + y*log(mu/(1-mu)) + n*log(1-mu)

where gammaln is the log gamma function and y = endog*n with endog and n as defined in Binomial initialize. This simply makes y the original number of successes.