In this module, we will introduce generalized linear models (GLMs) through the study of binomial data. In particular, we will motivate the need for GLMs; introduce the binomial regression model, ...

We consider the M-estimation of regression parameters in the linear model by minimizing the sum of convex functions of residuals. In earlier papers (see for instance Bai, Rao and Wu (1992) and Yohai ...

Similar results could be derived for Scheffe-type simultaneous confidence intervals as well as the one-sided t tests used in these models. Finally, we find the asymptotic distribution of the sample ...