Non-Gaussian outcomes are often modeled using members of the so-called
exponential family. Notorious members are the Bernoulli model for binary data,
leading to logistic regression, and the Poisson model for count data, leading
to Poisson regression.
Discussion of "Likelihood Inference for Models with Unobservables: Another
View" by Youngjo Lee and John A. Nelder [arXiv:1010.0303]