Square-root boundaries for Bessel processes and the hitting times of radial Ornstein-Uhlenbeck processes

This article deals with the first hitting times of a Bessel process to a square-root boundary. We obtain the explicit form of the distribution function of the hitting time by means of zeros of the confluent hypergeometric function with respect to the first parameter. In deducing the distribution fun...

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Bibliographic Details
Main Author: Yuji Hamana
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2023-03-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol43/2/art/opuscula_math_4309.pdf