The exponential non-uniform bound on the half-normal approximation for the number of returns to the origin

This research explored the number of returns to the origin within the framework of a symmetric simple random walk. Our primary objective was to approximate the distribution of return events to the origin by utilizing the half-normal distribution, which is chosen for its appropriateness as a limit di...

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Bibliographic Details
Main Authors: Tatpon Siripraparat, Suporn Jongpreechaharn
Format: Article
Language:English
Published: AIMS Press 2024-06-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2024926?viewType=HTML