Asymptotic behavior of terminating Markov processes, near to ergodic
type: Item
instance of: scholarly article
title: Asymptotic behavior of terminating Markov processes, near to ergodic
zbMATH Open document ID: 0732.60098
DOI: 10.1007/BF01060826
author: N. E. Zubov
published in: Ukrainian Mathematical Journal
publication date: 1990-01-01T00:00:00Z
review text: The purpose of this paper is the analysis of the limiting behavior of the transition kernel of the sequence of terminating Markov processes, near to ergodic. This analysis is based upon the one exposed in the well-known monography of the second author [Ergodic Markov processes (1989; Zbl 0687.60065)] and its extension to the class of terminating Markov processes became possible due to the reconstruction realized by the authors [Ukr. Math. J. 42, No.11, 1283-1288 (1990); translation from Ukr. Mat. Zh. 42, No.11, 1443-1448 (1990; Zbl 0719.60070)] of the analytic apparatus - the Markov renewal theory.
Mathematics Subject Classification ID: 60K15
Mathematics Subject Classification ID: 60A10
zbMATH DE Number: 4211229
zbMATH Keywords: ergodic Markov processes
zbMATH Keywords: asymptotic behaviour
zbMATH Keywords: transition kernel
zbMATH Keywords: terminating Markov processes
zbMATH Keywords: Markov renewal theory
reviewed by: D. Aïssani
MaRDI profile type: Publication
cites work: Q4040650
cites work: Markov renewal theorems in a scheme of series
full work available at URL: https://doi.org/10.1007/bf01060826
OpenAlex ID: W2059067422
description: scientific article; zbMATH DE number 4211229