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A non-uniform bound on binomial approximation to the beta binomial cumulative distribution function |
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| รหัสดีโอไอ | |
| Creator | 1. Kanint Teerapabolarn 2. Khunakorn Sae-Jeng |
| Title | A non-uniform bound on binomial approximation to the beta binomial cumulative distribution function |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2562 |
| Journal Title | Songklanakarin Journal of Science and Technology |
| Journal Vol. | 41 |
| Journal No. | 1 |
| Page no. | 96-108 |
| Keyword | beta binomial cumulative distribution function, binomial approximation, characterization of the beta binomial random variable, non-uniform bound, Stein's method |
| URL Website | http://rdo.psu.ac.th/sjstweb/index.php |
| ISSN | 0125-3395 |
| Abstract | This paper uses Stein's method and the characterization of beta binomial random variable to determine a non-uniform bound for the distance between the beta binomial cumulative distribution function with parameters n? ? N, 0 ? and ? ? 0 and the binomial cumulative distribution function with parameters n and ? ? ?? . Some numerical examples are given to illustrate the obtained result. |
