|
Approximations of normal distribution by its q-generalizations |
|---|---|
| รหัสดีโอไอ | |
| Creator | Mongkhon Tuntapthai |
| Title | Approximations of normal distribution by its q-generalizations |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2021 |
| Journal Title | Songklanakarin Journal of Science and Technology (SJST) |
| Journal Vol. | 43 |
| Journal No. | 4 |
| Page no. | 1169-1176 |
| Keyword | coupling approach, non-normal approximation, q-Gaussian distribution, size bias distribution, square bias distribution |
| URL Website | https://rdo.psu.ac.th/sjstweb/index.php |
| ISSN | 0125-3395 |
| Abstract | A concept of q-generalization of normal distribution arises in the context of statistical mechanics. In this article, weintroduce a q-generalization of normal approximation. By using Stein's method, zero and square bias approaches are applied toderive the bound in q-normal approximation. Our results also cover the bound of normal approximation for Student's tdistribution. |
