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New bounds on Poisson approximation to the distributionof a sum of negative binomial random variables |
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| รหัสดีโอไอ | |
| Creator | Kanint Teerapabolarn |
| Title | New bounds on Poisson approximation to the distributionof a sum of negative binomial random variables |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2561 |
| Journal Title | Songklanakarin Journal of Science and Technology |
| Journal Vol. | 40 |
| Journal No. | 2 |
| Page no. | 402 |
| Keyword | negative binomial distribution, Poisson approximation, non-uniform bound, Stein-Chen method |
| URL Website | http://rdo.psu.ac.th/sjstweb/index.php |
| ISSN | 0125-3395 |
| Abstract | The Stein-Chen method is usedto give new bounds, non-uniform bounds, for the distances between the distribution of asum of independent negative binomial random variables and a Poisson distribution with mean, where and areparameters of each negative binomial distribution. Results of this study are superior than those presented in Teerapabolarn (2014)and Hung and Giang (2016). |
