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Conditions for strong ergodicity using intensity matrices

Published online by Cambridge University Press:  14 July 2016

Jean Johnson and
Dean Isaacson
Jean Johnson*
Affiliation:
University of Kansas
Dean Isaacson*
Affiliation:
Iowa State University
*
∗ Postal address: Department of Mathematics, University of Kansas, Lawrence, KS 66045, USA.
∗∗ Postal address: Department of Statistics, Iowa State University, Ames, IA 50011, USA.
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Abstract

Sufficient conditions for strong ergodicity of discrete-time non-homogeneous Markov chains have been given in several papers. Conditions have been given using the left eigenvectors ψn of Pn (ψ nPn = ψ n ) and also using the limiting behavior of Pn. In this paper we consider the analogous results in the case of continuous-time Markov chains where one uses the intensity matrices Q(t) instead of P(s, t). A bound on the rate of convergence of certain strongly ergodic chains is also given.

Keywords

NON-HOMOGENEITYCONTINUOUS-TIME MARKOV CHAINS

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 25 , Issue 1 , March 1988, pp. 34 - 42
Copyright
Copyright © Applied Probability Trust 1988 

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