Conditioned limit theorems of stopped critical branching Bessel processes
type: Item
instance of: scholarly article
title: Conditioned limit theorems of stopped critical branching Bessel processes
zbMATH Open document ID: 0698.60068
published in: The Annals of Probability
publication date: 1990-01-01T00:00:00Z
review text: A critical branching Bessel process starting at \(r>>1\) is stopped at \(r=1\). If N is the number of descendents at \(r=1\), the norming constant k(r) is given and convergence of N/[k(r)] conditioned on \(N>0\) is given as \(r\to \infty\). The distribution of conditioned limit laws is also given. Probability ideas and analytic techniques for Emden-Fowler's equation are used.
Mathematics Subject Classification ID: 60J80
Mathematics Subject Classification ID: 60J65
Mathematics Subject Classification ID: 60J85
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 4145077
zbMATH Keywords: hitting probability
zbMATH Keywords: critical branching Bessel process
zbMATH Keywords: conditioned limit laws
zbMATH Keywords: Emden-Fowler's equation
author: Tzong-Yow Lee
reviewed by: Howard J. Weiner
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1176990949
OpenAlex ID: W1980719105
DOI: 10.1214/AOP/1176990949
description: scientific article; zbMATH DE number 4145077