Approximations of normal distribution by its q-generalizations
A concept of q-generalization of normal distribution arises in the context of statistical mechanics. In this article, we introduce a q-generalization of normal approximation. By using Stein's method, zero and square bias approaches are applied to derive the bound in q-normal approximation. Ou...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Prince of Songkla University
2021-08-01
|
| Series: | Songklanakarin Journal of Science and Technology (SJST) |
| Subjects: | |
| Online Access: | https://rdo.psu.ac.th/sjst/journal/43-4/32.pdf |
| Summary: | A concept of q-generalization of normal distribution arises in the context of statistical mechanics. In this article, we
introduce a q-generalization of normal approximation. By using Stein's method, zero and square bias approaches are applied to
derive the bound in q-normal approximation. Our results also cover the bound of normal approximation for Student’s tdistribution. |
|---|---|
| ISSN: | 0125-3395 |