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Improvements of Poisson approximation for n-dimensionalunit cube random graph |
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| รหัสดีโอไอ | |
| Creator | Kanint Teerapabolarn |
| Title | Improvements of Poisson approximation for n-dimensionalunit cube random graph |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2564 |
| Journal Title | Songklanakarin Journal of Science and Technology (SJST) |
| Journal Vol. | 43 |
| Journal No. | 4 |
| Page no. | 917-926 |
| Keyword | Poisson approximation, n-dimensional unit cube random graph, Stein-Chen method |
| URL Website | https://rdo.psu.ac.th/sjstweb/index.php |
| ISSN | 0125-3395 |
| Abstract | This paper uses the Stein-Chen method to obtain uniform and non-uniform bounds in the Poisson approximation for then-dimensional unit cube random graph. These bounds are re-established under the restriction of Poisson mean? ?1.One boundis for the distance of two probability functions and the two other bounds are for the distance of two cumulative distributionfunctions. Furthermore, the last two bounds of this study are sharper than those proposed in Teerapabolarn (2014). |
