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The new Poisson mixed weighted Lindley distributionwith applications to insurance claims data |
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| รหัสดีโอไอ | |
| Creator | 1. Yupapin Atikankul 2. Ampai Thongteeraparp 3. Winai Bodhisuwan |
| Title | The new Poisson mixed weighted Lindley distributionwith applications to insurance claims data |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2563 |
| Journal Title | Songklanakarin Journal of Science and Technology |
| Journal Vol. | 42 |
| Journal No. | 1 |
| Page no. | 152-162 |
| Keyword | count data, overdispersion, new weighted Lindley distribution, mixed Poisson distribution, maximum likelihood estimation |
| URL Website | https://rdo.psu.ac.th/sjstweb/index.php |
| ISSN | 0125-3395 |
| Abstract | Mixed Poisson distributions have been applied for overdispersed count data analysis. In this paper, an alternative mixedPoisson distribution is proposed. The proposed distribution is derived by mixing the Poisson distribution with the new weightedLindley distribution, named as the new Poisson mixed weighted Lindley distribution. Some special cases and several statisticalproperties have been derived including shape, factorial moments, probability generating function, moment generating functionand moments. The maximum likelihood estimators of the parameters are obtained. Finally, two automobile insurance claims datasets are analyzed to compare the performance of the proposed distribution with some competitive distributions. |
