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The combinational structure of non-homogeneous Markov chains with countable states

DOI: 10.1155/s0161171283000320

Keywords: non-homogeneous Markov chains , reflexive and transitive relations , homogeneity condition.

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Abstract:

Let P(s,t) denote a non-homogeneous continuous parameter Markov chain with countable state space E and parameter space [a,b], ¢ ’ ¢ 0}. It is shown in this paper that R(s,t) is reflexive, transitive, and independent of (s,t), s Keywords non-homogeneous Markov chains --- reflexive and transitive relations --- homogeneity condition.

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