Equilibrium Measures for Semi-Markov Processes

This paper simplifies and extends previous results on the existence of an equilibrium or stationary measure for the age process associated with a semi-Markov chain: $$(\mathbf{I}_{(t)}, \mathbf{Z}_{(t)}) = \text{(last state entered before time t}$$, $$\text{duration of this last sojourn up to} t$$).

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Published in:The Annals of probability 1977-10, Vol.5 (5), p.818-822
Main Author: McDonald, David R.
Format: Article
Language:English
Subjects:
60B99
60J10
60K05
60K15
Integers
Markov chains
Mathematics
Semi-Markov equilibrium measure
Short Communications
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container_title The Annals of probability
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creator McDonald, David R.
description This paper simplifies and extends previous results on the existence of an equilibrium or stationary measure for the age process associated with a semi-Markov chain: $$(\mathbf{I}_{(t)}, \mathbf{Z}_{(t)}) = \text{(last state entered before time t}$$, $$\text{duration of this last sojourn up to} t$$).
doi_str_mv 10.1214/aop/1176995726
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ispartof The Annals of probability, 1977-10, Vol.5 (5), p.818-822
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source JSTOR Archival Journals and Primary Sources Collection; Project Euclid
subjects 60B99
60J10
60K05
60K15
Integers
Markov chains
Mathematics
Semi-Markov equilibrium measure
Short Communications
title Equilibrium Measures for Semi-Markov Processes
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