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Multivariate poisson-beta distributions with applications

Abstract: In this article we propose multivariate versions of the beta mixture of Poisson distribution considered by Gurland (1958), Katti (1966), and Holla and Bhattacharya (1965). The new class of distributions can be used for modeling multivariate dependent count data when marginal overdispersion is observed. After revising briefly some of their properties, a general multivariate model with Poisson-Beta marginals and with a flexible covariance structure is proposed. Several specific models as well as a model which admits correlations of any sign are considered. Estimation methods are discussed. Finally, examples of application for bivariate frequencies data are given.

 Fuente: Communications in Statistics - Theory and Methods, 2011, 40(6), 1093-1108

Editorial: Taylor and Francis Ltd.

 Fecha de publicación: 01/01/2011

Nº de páginas: 15

Tipo de publicación: Artículo de Revista

 DOI: 10.1080/03610920903537269

ISSN: 0361-0926,1532-415X