International Journal of Mathematics and Mathematical Sciences 
Volume 29 (2002), Issue 12, Pages 727-736
doi:10.1155/S0161171202106193

On hypergeometric generalized negative binomial distribution

M. E. Ghitany,1 S. A. Al-Awadhi,1 and S. L. Kalla2

 1Department of Statistics and Operations Research, Faculty of Science, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
2Department of Mathematics and Computer Science, Faculty of Science, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
Received 24 June 2001

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.