Multivariate distributions of order k on a generalized sequence

Andreas N. Philippou and Demetris L. Antzoulakos

Statistics & Probability Letters, 1990, vol. 9, issue 5, 453-463

Abstract: A generalized sequence of order k is defined first, as an extension of independent trials with multiple outcomes. Then, three multivariate distributions of order k, which are based on that sequence, are introduced and studied. The probability generating functions, means, variances and covariances of these distributions are obtained, and some interrelationships among them are also established. The present paper extends to the multivariate case the work of Aki (1985).

Keywords: Multivariate; extended; distributions; of; order; k; geometric; negative; binomial; Poisson; logarithmic; series; probability; generating; functions; means; variances; covariances; interrelationships (search for similar items in EconPapers)
Date: 1990
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