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Revista Colombiana de Estadística

Print version ISSN 0120-1751

Abstract

OMAIR, Maha; ALMUHAYFITH, Fatimah  and  ALZAID, Abdulhamid. A Bivariate Model based on Compound Negative Binomial Distribution. Rev.Colomb.Estad. [online]. 2018, vol.41, n.1, pp.87-108. ISSN 0120-1751.  http://dx.doi.org/10.15446/rce.v41n1.57803.

A new bivariate model is introduced by compounding negative binomial and geometric distributions. Distributional properties, including joint, marginal and conditional distributions are discussed. Expressions for the product moments, covariance and correlation coefficient are obtained. Some properties such as ordering, unimodality, monotonicity and self-decomposability are studied. Parameter estimators using the method of moments and maximum likelihood are derived. Applications to traffic accidents data are illustrated.

Keywords : Bivariate distribution; Compound distribution; Correlation coefficient; Divisibility; Geometric distribution; Moments; Negative binomial distribution; Total positivity.

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