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 2564
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.
Songklanakarin Journal of Science and Technology (SJST)

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