Equilibrium Measures for Semi-Markov Processes

David R. McDonald

doi:10.1214/aop/1176995726

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Home > Journals > Ann. Probab. > Volume 5 > Issue 5 > Article

October, 1977 Equilibrium Measures for Semi-Markov Processes

David R. McDonald

Ann. Probab. 5(5): 818-822 (October, 1977). DOI: 10.1214/aop/1176995726

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Abstract

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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David R. McDonald. "Equilibrium Measures for Semi-Markov Processes." Ann. Probab. 5 (5) 818 - 822, October, 1977. https://doi.org/10.1214/aop/1176995726