Negative Binomial Regression

2. Auflage 2017
ISBN: 978-0-521-19815-8
Verlag: Cambridge University Press

Buch, Englisch, 570 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 1020 g

This second edition of Hilbe's Negative Binomial Regression is a substantial enhancement to the popular first edition. The only text devoted entirely to the negative binomial model and its many variations, nearly every model discussed in the literature is addressed. The theoretical and distributional background of each model is discussed, together with examples of their construction, application, interpretation and evaluation. Complete Stata and R codes are provided throughout the text, with additional code (plus SAS), derivations and data provided on the book's website. Written for the practising researcher, the text begins with an examination of risk and rate ratios, and of the estimating algorithms used to model count data. The book then gives an in-depth analysis of Poisson regression and an evaluation of the meaning and nature of overdispersion, followed by a comprehensive analysis of the negative binomial distribution and of its parameterizations into various models for evaluating count data.

Autoren/Hrsg.

Hilbe, Joseph M.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Preface; 1. Introduction; 2. The concept of risk; 3. Overview of count response models; 4. Methods of estimation and assessment; 5. Assessment of count models; 6. Poisson regression; 7. Overdispersion; 8. Negative binomial regression; 9. Negative binomial regression: modeling; 10. Alternative variance parameterizations; 11. Problems with zero counts; 12. Censored and truncated count models; 13. Handling endogeneity and latent class models; 14. Count panel models; 15. Bayesian negative binomial models; Appendix A. Constructing and interpreting interactions; Appendix B. Data sets and Stata files; References; Index.

Über Autor(innen)

Hilbe, Joseph M.
Joseph M. Hilbe is a Solar System Ambassador with NASA's Jet Propulsion Laboratory at the California Institute of Technology, an adjunct professor of statistics at Arizona State University, and an emeritus professor at the University of Hawaii. Professor Hilbe is an elected fellow of the American Statistical Association and an elected member of the International Statistical Institute (ISI), for which he is Chair of the ISI International Astrostatistics Network. He is the author of Logistic Regression Models (Chapman and Hall/CRC, 2009), a leading text on the subject, and co-author of R for Stata Users (Springer, 2010, with R. Muenchen), Generalized Estimating Equations (Chapman and Hall/CRC, 2002, with J. Hardin) and Generalized Linear Models and Extensions (Stata Press, 2001 and 2007, also with J. Hardin).

Joseph M. Hilbe is a Solar System Ambassador with NASA's Jet Propulsion Laboratory at the California Institute of Technology, an adjunct professor of statistics at Arizona State University, and an emeritus professor at the University of Hawaii. Professor Hilbe is an elected fellow of the American Statistical Association and elected member of the International Statistical Institute (ISI), for which he is the founding chair of the ISI astrostatistics committee and Network. He is the author of Logistic Regression Models, a leading text on the subject, and co-author of R for Stata Users (with R. Muenchen), and Generalized Estimating Equations and Generalized Linear Models and Extensions (both with J. Hardin).