title: A large class of models derived from generalized linear models.
abstract: Generalized linear models may be extended in several ways. This paper describes five such extensions: (i) generalized additive models; (ii) the use of quasi-likelihood; (iii) joint modelling of mean and dispersion; (iv) introduction of extra random components to give hierarchical generalized linear models; (v) modelling of correlated responses within subjects in longitudinal models. These extensions are largely independent, and so can be combined in many ways to produce a large class of models. Finally, a further extension to dynamic forms of the models is sketched.
authors.affiliation: Department of Mathematics, Imperial College, London, U.K. j.nelder@ma.ic.ac.uk
authors.forename: J A
authors.initials: JA
authors.lastname: Nelder
mesh_terms: D016014:Linear Models; D015233:Models, Statistical