On hypergeometric generalized negative binomial distribution

Author:

Ghitany M. E.1,Al-Awadhi S. A.1,Kalla S. L.2

Affiliation:

1. Department of Statistics and Operations Research, Faculty of Science, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait

2. Department of Mathematics and Computer Science, Faculty of Science, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait

Abstract

It is shown that the hypergeometric generalized negative binomial distribution has moments of all positive orders, is overdispersed, skewed to the right, and leptokurtic. Also, a three-term recurrence relation for computing probabilities from the considered distribution is given. Application of the distribution to entomological field data is given and its goodness-of-fit is demonstrated.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

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