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Regression Analysis of Count Data (Econometric Society Monographs) [Paperback]

A. Colin Cameron (Author), Pravin K. Trivedi (Author)
4.5 out of 5 stars  See all reviews (2 customer reviews)

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Book Description

September 28, 1998 0521635675 978-0521635677
Students in both the natural and social sciences often seek regression models to explain the frequency of events, such as visits to a doctor, auto accidents or job hiring. This analysis provides the most comprehensive and up-to-date account of models and methods to interpret such data. The authors combine theory and practice to make sophisticated methods of analysis accessible to practitioners working with widely different types of data and software. The treatment will be useful to researchers in areas such as applied statistics, econometrics, operations research, actuarial studies, demography, biostatistics, and quantitatively-oriented sociology and political science. The book may be used as a reference work on count models or by students seeking an authoritative overview. The analysis is complemented by template programs available on the Internet through the authors' homepages.

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Editorial Reviews

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" ...an impressive piece of work in all respects: it provides the first comprehensive description of the subject, it is mathematically rigorous and easy to read, and it contains useful discussions, interesting applications, various exercises, and a precise presentation of a very large bibliography. This book will become a basic reference for students and researchers." Alain Monfort

"...collects an extensive amount of material which has not been treated before in a textbook. The text is well written and the examples...are very illustrative. Although the book appears in the series of econometric monographs it should also be studied by people from other fields of applied statistics." Mathematical Reviews

Book Description

Students in both the natural and social sciences often seek regression models to explain the frequency of events, such as visits to a doctor, auto accidents or job hiring. This analysis provides the most comprehensive and up-to-date account of models and methods to interpret such data. The authors combine theory and practice to make sophisticated methods of analysis accessible to practitioners working with widely different types of data and software. The treatment will be useful to researchers in areas such as applied statistics, econometrics, operations research, actuarial studies, demography, biostatistics, and quantitatively-oriented sociology and political science. The book may be used as a reference work on count models or by students seeking an authoritative overview. The analysis is complemented by template programs available on the Internet through the authors' homepages.

Product Details

  • Paperback: 436 pages
  • Publisher: Cambridge University Press (September 28, 1998)
  • Language: English
  • ISBN-10: 0521635675
  • ISBN-13: 978-0521635677
  • Product Dimensions: 8.9 x 5.9 x 0.8 inches
  • Shipping Weight: 1.2 pounds (View shipping rates and policies)
  • Average Customer Review: 4.5 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #894,429 in Books (See Top 100 in Books)

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30 of 30 people found the following review helpful:
5.0 out of 5 stars important topics, February 7, 2008
This review is from: Regression Analysis of Count Data (Econometric Society Monographs) (Paperback)
This is a very thorough and authoritative treatment of regression methods for analyzing count data. It is very current and covers many topics not commonly found in books on point processes. Economic applications are emphasized but the broader applicability of the methods is eluded to.
The authors intent is for this book to be read by researchers, graduate students and practitioners in the many fields that make use of count data. Chapter 1 introduces count data, the Poisson distribution and the Poisson process and also shows how the Poisson process can be derived based on the assumption of independent and identically distributed exponential waiting times. It concludes with specification of regression models for counts and a number of practical examples where modeling count data would naturally arise. The importance of the integers is emphasized with the quote from Kronecker at the beginning of the chapter, "God made the integers, all the rest is the work of man."

Chapter 2 provides an extensive treatment of model specification and estimation methods. The authors cover many approaches and provide excellent references to the literature. Generalized linear models provide one common approach in the statistics literature and these methods are well described in this chapter.

Poisson regression is the main topic of Chapter 3 but the chapter goes on to discuss negative binomial models that handle overdispersion. An example of data on doctor's visits is used to illustrate the techniques. Statistical tests for overdispersion are also presented. A variety of other modeling techniques are also provided.

More general models including mixture models are considered in Chapter 4. Chapter 5 looks at ways of evaluating potential models. Chapter 6 provides some real economic data from health services to illustrate the methods of the earlier chapters.

Chapter 7 covers time series analysis for integer data. The authors provide information and literature that is not standard in a text on time series analysis but is applicable to count data.

Subsequent chapters deal with more complexity including multivariate data,longitudinal data analysis and measurement error models. Important recent developments in bootstrap methods and Bayesian statistics are covered in the context of problems for which these methods have demonstrated their value.

This is a great reference book for statisticians and econometricians interested in problems involving counting processes. It could also be used for a graduate school text on point process regression.
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2 of 24 people found the following review helpful:
4.0 out of 5 stars It is true!, May 3, 2000
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This review is from: Regression Analysis of Count Data (Econometric Society Monographs) (Paperback)
Well most prople are used in telling stories about the unapliability of economics in real life. That math and logic can not apply to most economic books! Most of the people say that economics are only theory.I will tell you that this book is one of a kind, reading it you will be able to have a better understanding of Econometrics.If you have enough money to pay the rent and some left buy this book ! its better than food!
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Inside This Book (learn more)
First Sentence:
This book is concerned with models of event counts. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
exponential conditional mean function, exponential mean function, overdispersion tests, count data regression models, count regression models, recreational boating trips, hurdle model, count data analysis, maximum likelihood output, major derogatory reports, specified conditional mean, baseline density, count data models, recording probability, nonnested models, quadratic variance function, maximum likelihood standard errors, information matrix equality, binary poisson, apparent contagion, conditional moment tests, asymptotically equivalent version, omitted regressors, count models, true contagion
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Monte Carlo, United States, Lake Somerville, Two Crossings Theorem
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