BIVARIATE VERSION OF THE HYPER-POISSON DISTRIBUTION AND SOME OF ITS PROPERTIES

Authors

  • C. SATHEESH KUMAR
  • B. UNNIKRSHNAN NAIR

Keywords:

Confluent hypergeometric function, Displaced Poisson distribution, Factorial moment generating function, Hermite distribution, Poisson distribution.

Abstract

A bivariate version of the hyper-Poisson distribution is introduced here through its probability
generating function (pgf ). we study some of its important aspects by deriving its
probability mass function, factorial moments, marginal and conditional distributions and
obtain certain recurrence relations for its probabilities, raw moments and factorial moments.
Further, the method of maximum likelihood is discussed and the procedures are
illustrated using a real life data set.

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Issue

No. 1 (2016): Vol 48-50

Section

Articles