Abstract
We consider a non-homogeneous continuous-time Markov chain X(t) with countable state space. Definitions of uniform and strong quasi-ergodicity are introduced. The forward Kolmogorov system for X(t) is considered as a differential equation in the space of sequences l1. Sufficient conditions for uniform quasi-ergodicity are deduced from this equation. We consider conditions of uniform and strong ergodicity in the case of proportional intensities.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference22 articles.
1. Processes of birth and death and simple stochastic epidemic models;Zeifman;Autom. Remote Control.,1985
2. On asymptotic behaviour of solutions of the forward Kolmogorov system;Zeifman;Ukr. Math. J.,1983
3. STABILITY OF AN INFINITE SYSTEM OF DIFFERENTIAL EQUATIONS FOR THE KINETICS OF POLYMER DEGRADATION
4. On a class of Markov processes with varying intensities and their applications to queueing theory;Shahbazov;Optimization,1982
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