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. Ghitany1
, S.A. Al-Awadhi1
and S.L. Kalla3
1Department of Statistics and Operations Research, Faculty of Science, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
3Department 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.