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A non-uniform bound on Poisson approximation fora sum of negative binomial random variables |
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| รหัสดีโอไอ | |
| Creator | Kanint Teerapabolarn |
| Title | A non-uniform bound on Poisson approximation fora sum of negative binomial random variables |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2560 |
| Journal Title | Songklanakarin Journal of Science and Technology (SJST) |
| Journal Vol. | 39 |
| Journal No. | 3 |
| Page no. | 355 |
| Keyword | negative binomial distribution,non-uniform bound,point metric,Poisson approximation,SteinChen method |
| ISSN | 0125-3395 |
| Abstract | This paper uses the SteinChen method to determine a non-uniform bound on the point metric between the distributionof a sum of independent negative binomial random variables and a Poisson distribution with mean1ni iir q?? ? ? , where ri and1 i i p q ? ? are parameters of each negative binomial distribution. The result gives a good Poisson approximation when all qiare small or ? is small. |
