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The Poisson-generalised Lindley distribution and its applications |
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| รหัสดีโอไอ | |
| Creator | 1. Weerinrada Wongrin 2. Winai Bodhisuwan |
| Title | The Poisson-generalised Lindley distribution and its applications |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2559 |
| Journal Title | Songklanakarin Journal of Science and Technology (SJST) |
| Journal Vol. | 38 |
| Journal No. | 6 |
| Page no. | 645-656 |
| Keyword | count data,mixed Poisson distribution,generalised Lindley distribution,over-dispersion |
| ISSN | 0125-3395 |
| Abstract | The Poisson distribution plays important role in count data analysis. However, the Poisson distribution cannot modelsome data with over-dispersion because of its property, equi-dispersion. Here we propose a new distribution for overdispersedcount data, namely the Poisson-generalised Lindley distribution. Basic properties of the distribution and specialcases are also derived. In addition, the new distribution is applied to some real data sets using the method of maximumlikelihood for parameter estimation. The results based on p-value of the discrete Anderson-Daring test show that the newdistribution can be used as an alternative model for count data analysis. |
