4.4.1.1.6.1.11. statsmodels.formula.api.MNLogit.loglike

MNLogit.loglike(params)

Log-likelihood of the multinomial logit model.

Parameters:

params : array-like

The parameters of the multinomial logit model.

Returns:

loglike : float

The log-likelihood function of the model evaluated at params. See notes.

Notes

\[\ln L=\sum_{i=1}^{n}\sum_{j=0}^{J}d_{ij}\ln\left(\frac{\exp\left(\beta_{j}^{\prime}x_{i}\right)}{\sum_{k=0}^{J}\exp\left(\beta_{k}^{\prime}x_{i}\right)}\right)\]

where \(d_{ij}=1\) if individual i chose alternative j and 0 if not.