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...

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Bibliographic Details
Main Author: Mongkhon Tuntapthai
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