Modelling and Analysis of Cross-Sectional Data: A Review of Univariate Generalized Linear Models

  • Ludwig Fahrmeir
  • Gerhard Tutz
Part of the Springer Series in Statistics book series (SSS)

Abstract

The material in this chapter provides an introduction to univariate generalized linear models and serves as a basis for the following chapters, which contain extensions, e.g., to multivariate, nonparametric, random effects, or dynamic models. It is not intended to replace a deeper study of detailed expositions like that in McCullagh & Nelder (1989) or, with focus on the GLIM package, that in Aitkin, Anderson, Francis & Hinde (1989). Shorter introductions are given, e.g., by Dobson (1989), Firth (1991), and Fahrmeir, Hamerle & Tutz (1996). Collett (1991) focuses on modelling of binary data and discusses practical aspects in more detail.

Keywords

Maximum Likelihood Estimator Variance Function Exponential Family Linear Predictor Binary Response 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Ludwig Fahrmeir
    • 1
  • Gerhard Tutz
    • 2
  1. 1.Department of StatisticsUniversity of MunichMünchenGermany
  2. 2.Department of StatisticsUniversity of MunichMünchenGermany

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