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On multiparameter distributions of order k
Authors:Andreas N. Philippou
Affiliation:(1) Department of Mathematics, University of Patras, Patras, Greece
Abstract:A multiparameter negative binomial distribution of order k is obtained by compounding the extended (or multiparameter) Poisson distribution of order k by the gamma distribution. A multiparameter logarithmic series distribution of order k is derived next, as the zero truncated limit of the first distribution. Finally a few genesis schemes and interrelationships are established for these three multiparameter distributions of order k. The present work extends several properties of distributions of order k.
Keywords:Multiparameter distributions of order k  type I and type II distributions of order k  genesis schemes and interrelatiobships  extended distributions of order k
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