Regenerative systems on the real line
type: Item
instance of: scholarly article
title: Regenerative systems on the real line
zbMATH Open document ID: 0655.60064
published in: The Annals of Probability
publication date: 1988-01-01T00:00:00Z
review text: The paper is devoted to a detailed study of a regenerative system (M,X). Here M is a closed random set on \({\mathbb{R}}\) and X is a process indexed by \({\mathbb{R}}\) such that \((M-D_ t\cap (0,\infty),X_{D_{t+\cdot}})\) and (M \(\cap (-\infty,D_ t],X_{\cdot \wedge D_ t})\) are conditionally independent given \(X_{D_ t}\) where \(D_ t=\inf \{s\in M:\) \(s>t\}\).
reviewed by: Murali Rao
Mathematics Subject Classification ID: 60J55
Mathematics Subject Classification ID: 60K05
Mathematics Subject Classification ID: 60J25
Mathematics Subject Classification ID: 60J50
Mathematics Subject Classification ID: 60G17
zbMATH DE Number: 4069966
zbMATH Keywords: regenerative systems
zbMATH Keywords: local times
zbMATH Keywords: exit systems
zbMATH Keywords: regenerative system
author: Haya Kaspi
author: Bernard Maisonneuve
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1176991693
OpenAlex ID: W2084275472
DOI: 10.1214/AOP/1176991693
description: scientific article; zbMATH DE number 4069966