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Generalized Estimating Equations

  • Book
  • © 2011

Overview

Authors:
  1. Andreas Ziegler

    1. Institute for Medical Biometry and Statistics, University Hospital Schleswig-Holstein, University of Lübeck, Lübeck, Germany

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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
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Statistics (LNS, volume 204)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. The linear exponential family

    • Andreas Ziegler
    Pages 1-10

  3. The quadratic exponential family

    • Andreas Ziegler
    Pages 11-20

  4. Generalized linear models

    • Andreas Ziegler
    Pages 21-28

  5. Maximum likelihood method

    • Andreas Ziegler
    Pages 29-49

  6. Pseudo maximum likelihood method based on the linear exponential family

    • Andreas Ziegler
    Pages 51-77

  7. Quasi generalized pseudo maximum likelihood method based on the linear exponential family

    • Andreas Ziegler
    Pages 79-99

  8. Pseudo maximum likelihood estimation based on the quadratic exponential family

    • Andreas Ziegler
    Pages 101-117

  9. Generalized method of moment estimation

    • Andreas Ziegler
    Pages 119-131

  10. Back Matter

    Pages 133-144
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Keywords

About this book

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.

Authors and Affiliations

  • Institute for Medical Biometry and Statistics, University Hospital Schleswig-Holstein, University of Lübeck, Lübeck, Germany

    Andreas Ziegler

About the author

After studying statistics and mathematics at the University of Munich, Andreas Ziegler obtained his doctoral degree from the University of Dortmund (Germany) for his thesis on methodological developments on generalized estimating equations. In the past 15 years, he has authored or co-authored more than 300 journal articles and 6 books. He has received several awards for his methodological developments and collaborative studies in clinical trials and genetic epidemiology. Andreas Ziegler is professor and head of the Institute of Medical Biometry and Statistics at the University of Lübeck (Germany).

Bibliographic Information

  • Book Title: Generalized Estimating Equations

  • Authors: Andreas Ziegler

  • Series Title: Lecture Notes in Statistics

  • DOI: https://doi.org/10.1007/978-1-4614-0499-6

  • Publisher: Springer New York, NY

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Science+Business Media, LLC 2011

  • Softcover ISBN: 978-1-4614-0498-9Published: 21 June 2011

  • eBook ISBN: 978-1-4614-0499-6Published: 17 June 2011

  • Series ISSN: 0930-0325

  • Series E-ISSN: 2197-7186

  • Edition Number: 1

  • Number of Pages: XV, 144

  • Topics: Statistical Theory and Methods

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