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An Extended Binomial Distribution with Applications |
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| Authors: | Abdulhamid A Alzaid Maha A Omair |
| Institution: | 1. Department of Statistics and Operations Research , King Saud University , Riyadh , Saudi Arabia alzaid@ksu.edu.sa;3. Department of Statistics and Operations Research , King Saud University , Riyadh , Saudi Arabia |
| Abstract: | Based on Skellam (Poisson difference) distribution, an extended binomial distribution is introduced as a byproduct of extending Moran's characterization of Poisson distribution to the Skellam distribution. Basic properties of the distribution are investigated. Also, estimation of the distribution parameters is obtained. Applications with real data are also described. |
| Keywords: | Conditional Poisson difference distribution Extended binomial distribution Modified Bessel function Poisson difference distribution Regularized hypergeometric function Skellam distribution |