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Statistics - Statistical Theory and Methods | Generalized Estimating Equations

Generalized Estimating Equations

Series: Lecture Notes in Statistics, Vol. 204

Ziegler, Andreas

2011, XV, 144p.

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  • Generalized estimating equations have become increasingly popular in biometrical, econometrical, and psychometrical applications
  • In this book, they are derived in a unified way using pseudo maximum likelihood estimation and the generalized method of moments
  • References to the relevant literature discussing technical details are provided for the interested reader

Generalized estimating equations have become increasingly popular in biometrical, econometrical, and psychometrical applications because they overcome the classical assumptions of statistics, i.e. independence and normality, which are too restrictive for many problems.

Therefore, the main goal of this book is to give a systematic presentation of the original generalized estimating equations (GEE) and some of its further developments. Subsequently, the emphasis is put on the unification of various GEE approaches. This is done by the use of two different estimation techniques, the pseudo maximum likelihood (PML) method and the generalized method of moments (GMM).

The author details the statistical foundation of the GEE approach using more general estimation techniques. The book could therefore be used as basis for a course to graduate students in statistics, biostatistics, or econometrics, and will be useful to practitioners in the same fields.

Content Level » Research

Keywords » biometrics - clustered data - econometrics - generalized estimating equations - generalized linear model - generalized method of moments - maximum likelihood method - pseudo maximum likelihood method - psychometrics

Related subjects » Statistical Theory and Methods

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