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

Let P(s,t) denote a non-homogeneous continuous parameter Markov chain with countable state space E and parameter space [a,b], −∞<a<b<∞. Let R(s,t)={(i,j):Pij(s,t)>0}. It is shown in this paper that R(s,t) is reflexive, transitive, and independent of (s,t), s<t, if a certain weak homog...

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Bibliographic Details
Main Authors: A. Mukherjea, A. Nakassis
Format: Article
Language:English
Published: Wiley 1983-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171283000320
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