# statsmodels.discrete.discrete_model.MNLogit.loglikeobs¶

MNLogit.loglikeobs(params)[source]

Log-likelihood of the multinomial logit model for each observation.

Parameters: params (array-like) – The parameters of the multinomial logit model. loglike – The log likelihood for each observation of the model evaluated at params. See Notes array-like

Notes

$\ln L_{i}=\sum_{j=0}^{J}d_{ij}\ln\left(\frac{\exp\left(\beta_{j}^{\prime}x_{i}\right)}{\sum_{k=0}^{J}\exp\left(\beta_{k}^{\prime}x_{i}\right)}\right)$

for observations $$i=1,...,n$$

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