Главная страница
russian   english
16+
<< back

Title of Article

DEFINITION OF THE STATIONARY MODE OF RECURRENT MARKOV CHAINS BY THE ITERATIVE-MAJORANT METHOD


Issue
4
Date
2009

Section
MATHEMATICAL MODELING. ОPTIMAL CONTROL

Article type
scientific article
UDC
519.21
Pages
130-140
Keywords
recurrent Markov chain, one-dimensional distribution, generating function, stationary distribution, iterative-majorant method, nonlocal description of event flows


Authors
Fedotkin A.M.
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo


Abstract
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.

File (in Russian)