Advances and Applications in Statistics
Volume 7, issue 2, Pages 211 - 227
(August 2007)
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MULTIVARIATE EXTENDED GENERALIZED DISTRIBUTIONS OF ORDER k
Gregory A. Tripsiannis (Greece), Afroditi A. Papathanasiou (Greece) and Andreas N. Philippou (Greece)
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Abstract: In a generalized sequence of order k, which is an extension of independent trials with multiple outcomes, we introduce the multivariate extended generalized distributions of order k, which generalize the multivariate generalized negative binomial distribution of Jain [3], the multivariate extended negative binomial distribution of order k of Philippou and Antzoulakos [11] and the multivariate generalized negative binomial distribution of order k, type I, of Tripsiannis et al. [19]. This new distribution includes as special cases six new multivariate extended distributions of order k and gives rise in the limit to multivariate extended generalized logarithmic series and Poisson distributions of order k. Moments of these distributions are obtained and graphs are presented. |
Keywords and phrases: distributions of order k, extended, generalized, lattice paths, negative binomial, logarithmic series, Poisson, Haight, Takᣳ, binomial-delta, negative binomial-delta, mean, variance-covariance, graphs. |
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