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A goodness-of-fit test for the multivariate Poisson distribution

 

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Opened Access A goodness-of-fit test for the multivariate Poisson distribution
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Author: Novoa Muñoz, Francisco
Jiménez Gamero, María Dolores
Department: Universidad de Sevilla. Departamento de Estadística e Investigación Operativa
Date: 2016
Published in: SORT (Statistics and Operations Research Transactions), 40 (1), 113-138.
Document type: Article
Abstract: Bivariate count data arise in several different disciplines and the bivariate Poisson distribution is commonly used to model them. This paper proposes and studies a computationally convenient goodness-of-fit test for this distribution, which is based on an empirical counterpart of a system of equations. The test is consistent against fixed alternatives. The null distribution of the test can be consistently approximated by a parametric bootstrap and by a weighted bootstrap. The goodness of these bootstrap estimators and the power for finite sample sizes are numerically studied. It is shown that the proposed test can be naturally extended to the multivariate Poisson distribution.
Cite: Novoa Muñoz, F. y Jiménez Gamero, M.D. (2016). A goodness-of-fit test for the multivariate Poisson distribution. SORT (Statistics and Operations Research Transactions), 40 (1), 113-138.
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URI: http://hdl.handle.net/11441/44841

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