 Multivariate distributions of order ?Andreas N. Philippou, Demetris L. Antzoulakos and Gregory A. Tripsiannis Statistics & Probability Letters, 1988, vol. 7, issue 3, 207-216 Abstract: Three multivariate distributions of order ? are introduced and studied. A multivariate negative binomial distribution of order ? is derived first, by means of an urn scheme, and two limiting cases of it are obtained next. They are, respectively, a multivariate Poisson distribution of order ? and a multivariate logarithmic series distribution of the same order. The probability generating functions, means variances and covariances of these distributions are obtained, and some further genesis schemes of them and interrelationships among them are also established. The present paper extends to the multivariate case the work of Philippou (1987) on multiparameter distributions of order ?. At the same time, several results of Aki (1985) on extended distributions of order ? are also generalized to the multivariate case. Keywords: multivariate; distributions; of; order; ?; negative; binomial; Poisson; logarithmic; series; probability; generating; functions; means; variances; covariances; genesis; schemes; interrelationships (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:7:y:1988:i:3:p:207-216 Ordering information: This journal article can be ordered from Access Statistics for this article Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul More articles in Statistics & Probability Letters from Elsevier |
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