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.
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Philippou, A.N. On multiparameter distributions of order k . Ann Inst Stat Math 40, 467–475 (1988). https://doi.org/10.1007/BF00053059
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DOI: https://doi.org/10.1007/BF00053059