Bayesian Data Analysis, Third Edition, 3rd Edition

Chapter 19

Parametric nonlinear models

The linear regression approach of Part IV suggests a presentation of statistical models in menu form, with a set of possible distributions for the response variable, a set of transformations to facilitate the use of those distributions, and the ability to include information in the form of linear predictors. In a generalized linear model, the expected value of y is a nonlinear function of the linear predictor: E(yX, β) = g^-1(Xβ). Robust (Chapter 17) and mixture models (Chapter 22) generalize these by adding ...