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Multivariate exponential discrete distributions and their characterization by the Rao-Rubin condition for the additive damage model. (English) Zbl 0537.62038

A multivariate generalization of the Rao-Rubin condition is considered by the author. This leads to some characterizations of survival distributions. In addition, the multivariate Markov-Polya distribution is generalized to its Lagrangian form. These formulations lead naturally to the multivariate Lagrangian Poisson and negative binomial distributions, as limiting cases. It should be noted that the results in the present paper are closely related to those obtained by the author in Commun. Stat., Theory Methods 12, 877-893 (1983; Zbl 0514.62057). In most instances these results generalize the earlier ones.
Reviewer: S.Kocherlakota

MSC:

62H05 Characterization and structure theory for multivariate probability distributions; copulas
62E10 Characterization and structure theory of statistical distributions

Citations:

Zbl 0514.62057
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