statsmodels.genmod.families.family.Binomial.loglike
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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.
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