DEFINITION OF THE STATIONARY MODE OF RECURRENT MARKOV CHAINS BY THE ITERATIVE-MAJORANT METHOD |
4 | |
2009 |
MATHEMATICAL MODELING. ОPTIMAL CONTROL |
scientific article | 519.21 | ||
130-140 | recurrent Markov chain, one-dimensional distribution, generating function, stationary distribution, iterative-majorant method, nonlocal description of event flows |
Limiting properties are studied of one-dimensional distributions of controlled vector Markov chain finite family with a countable number of states. Markov chain components are defined by some function-recurrent relation. An effective method is proposed to define sufficient conditions of existence of a stationary distribution of the whole class of controlled vector Markov chains. |
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