On hypergeometric generalized negative binomial distribution
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...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202106193 |
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| author | M. E. Ghitany S. A. Al-Awadhi S. L. Kalla |
| author_facet | M. E. Ghitany S. A. Al-Awadhi S. L. Kalla |
| author_sort | M. E. Ghitany |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-65761b36edc7466bab770380a42b7a99 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-65761b36edc7466bab770380a42b7a992025-02-03T01:33:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01291272773610.1155/S0161171202106193On hypergeometric generalized negative binomial distributionM. E. Ghitany0S. A. Al-Awadhi1S. L. Kalla2Department of Statistics and Operations Research, Faculty of Science, Kuwait University, P.O. Box 5969, Safat 13060, KuwaitDepartment of Statistics and Operations Research, Faculty of Science, Kuwait University, P.O. Box 5969, Safat 13060, KuwaitDepartment of Mathematics and Computer Science, Faculty of Science, Kuwait University, P.O. Box 5969, Safat 13060, KuwaitIt 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.http://dx.doi.org/10.1155/S0161171202106193 |
| spellingShingle | M. E. Ghitany S. A. Al-Awadhi S. L. Kalla On hypergeometric generalized negative binomial distribution International Journal of Mathematics and Mathematical Sciences |
| title | On hypergeometric generalized negative binomial distribution |
| title_full | On hypergeometric generalized negative binomial distribution |
| title_fullStr | On hypergeometric generalized negative binomial distribution |
| title_full_unstemmed | On hypergeometric generalized negative binomial distribution |
| title_short | On hypergeometric generalized negative binomial distribution |
| title_sort | on hypergeometric generalized negative binomial distribution |
| url | http://dx.doi.org/10.1155/S0161171202106193 |
| work_keys_str_mv | AT meghitany onhypergeometricgeneralizednegativebinomialdistribution AT saalawadhi onhypergeometricgeneralizednegativebinomialdistribution AT slkalla onhypergeometricgeneralizednegativebinomialdistribution |