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Activity Number: 294
Type: Contributed
Date/Time: Tuesday, July 31, 2007 : 10:30 AM to 12:20 PM
Sponsor: Section on Physical and Engineering Sciences
Abstract - #308505
Title: Bivariate Generalized Poisson Regression Model
Author(s): Felix Famoye*+
Companies: Central Michigan University
Address: Department of Mathematics, Mt Pleasant, MI, 48859-0001,
Keywords: correlated count data ; over-dispersion ; goodness of fit ; estimation
Abstract:

The bivariate generalized Poisson distribution has been found useful in describing correlated count data. In this paper, a bivariate generalized Poisson regression model based on the bivariate generalized Poisson distribution is defined and studied. The marginal means of the bivariate model are functions of the explanatory variables. The parameters of the regression model are estimated by using the maximum likelihood method. Some test statistics including goodness of fit are discussed. A numerical data that exhibits over-dispersion is used to illustrate the techniques.

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Revised September, 2007