ON MULTIPARAMETER DISTRIBUTIONS OF ORDER k (original) (raw)

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. Key words and phrases: Multiparameter distributions of order k, type I and type II distributions of order k, genesis schemes and interrelationships, extended distributions of order k.