Regression Analysis of Count Data (Econometric Society by A. Colin Cameron, Pravin K. Trivedi

By A. Colin Cameron, Pravin K. Trivedi

Scholars in either social and normal sciences frequently search regression easy methods to clarify the frequency of occasions, akin to visits to a physician, car injuries, or new patents offered. This e-book offers the main entire and up to date account of types and techniques to interpret such facts. The authors have carried out learn within the box for greater than twenty-five years. during this ebook, they mix concept and perform to make subtle tools of study available to researchers and practitioners operating with extensively sorts of information and software program in components corresponding to utilized information, econometrics, advertising, operations study, actuarial reviews, demography, biostatistics, and quantitative social sciences. The ebook can be utilized as a reference paintings on count number versions or by way of scholars looking an authoritative evaluation. Complementary fabric within the type of information units, template courses, and bibliographic assets could be accessed on the net in the course of the authors' homepages. This moment version is an improved and up to date model of the 1st, with new empirical examples and a couple of hundred new references extra. the recent fabric contains new theoretical issues, an up-to-date and increased remedy of cross-section versions, insurance of bootstrap-based and simulation-based inference, increased remedy of time sequence, multivariate and panel information, accelerated therapy of endogenous regressors, assurance of quantile count number regression, and a brand new bankruptcy on Bayesian equipment.

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Regression Analysis of Count Data (Econometric Society Monographs)

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In both biostatistics and econometrics, and especially in health, 18 1. Introduction labor, and environmental economics, there are many applications of count models, which are mentioned throughout this book and especially in Chapter 6. Examples of applications in criminology, sociology, political science, and international relations are Grogger (1990), Nagin and Land (1993), Hannan and Freeman (1987), and King (1987a, b). Examples of application in finance are Dionne, Artis and Guillen (1996) and Schwartz and Torous (1993).

To analyze the valuation placed on such a resource by recreational users, economists often model the frequency of the visits to particular sites as a function of the cost of usage and the economic and demographic characteristics of the users. For example, Ozuna and Gomaz (1995) analyze 1980 survey data on the number of recreational boating trips to Lake Somerville in East Texas. 1 displays overdispersion and excess zeros. 3. Examples 13 in a count regression. S. firms that were targets of tender offers during the period between 1978 and 1985 and were actually taken over within 52 weeks of the initial offer.

34 2. Model Specification and Estimation A density f GLM (y | θ, φ) is a member of a linear exponential family with canonical (or natural) parameter θ and nuisance parameter φ if f GLM (y | θ, φ) = exp θ y − b(θ ) + c(y, φ) . 46) where b (θ) = ∂b(θ )/∂θ . 47) where b (θ) = ∂ 2 b(θ )/∂θ 2 . Usually a(φ) = φ. The function c(·) is a normalizing constant. Different functional forms for a(·) and b(·) lead to different GLMs. Note that the functions a(·), b(·), and c(·) for the GLM are different from the functions a(·), b(·), and c(·) for the LEF and LEFN.

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