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7. Generalized Linear Models
Marlene Müller
Subsections
7.1 Introduction
7.2 Model Characteristics
7.2.1 Exponential Family
7.2.2 Link Function
7.3 Estimation
7.3.1 Properties of the Exponential Family
7.3.2 Maximum-Likelihood and Deviance Minimization
7.3.3 Iteratively Reweighted Least Squares Algorithm
7.3.4 Remarks on the Algorithm
7.3.5 Model Inference
7.4 Practical Aspects
7.5 Complements and Extensions
7.5.1 Weighted Regression
7.5.2 Overdispersion
7.5.3 Quasi- or Pseudo-Likelihood
7.5.4 Multinomial Responses
7.5.5 Contingency Tables
7.5.6 Survival Analysis
7.5.7 Clustered Data
7.5.8 Semiparametric Generalized Linear Models