Khatri, C. G. Multivariate exponential discrete distributions and their characterization by the Rao-Rubin condition for the additive damage model. (English) Zbl 0537.62038 S. Afr. Stat. J. 17, 13-32 (1983). 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 Keywords:hypergeometric distribution; Lagrangian multinomial; multivariate Lagrangian negative binomial; multivariate Lagrangian Poisson; additive damage model; multivariate exponential discrete distributions; multivariate generalization of the Rao-Rubin condition; characterizations of survival distributions; multivariate Markov-Polya distribution Citations:Zbl 0514.62057 PDFBibTeX XMLCite \textit{C. G. Khatri}, S. Afr. Stat. J. 17, 13--32 (1983; Zbl 0537.62038)