The assumption of time-homogeneity is implicit in many stochastic models. This is considered necessary for some calculations and limit results. However, in many applications the time-homogeneity condition is far from realistic. Here we propose two ways of attacking the problem of non-time-homogeneity.
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- D. Griffeath (1978), Coupling methods for Markov processes. Studies in Probability and Ergodic Theory. Adv. Math. Supplementary Studies 2.Google Scholar
- H. Thorisson, On regenerative and ergodic properties of the k-server queue with non-stationary Poisson arrivals. To appear in J. Appl. Prob.Google Scholar
- H. Thorisson (1984), Backward limits of non-time-homogeneous regenerative processes. Preprint, Dept. Math. Göteborg.Google Scholar
- H. Thorisson, On maximal and distributional coupling. To appear in Annals of Probability.Google Scholar