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Ukrainian Mathematical Journal

, Volume 42, Issue 10, pp 1267–1270 | Cite as

Limit theorem for Markov processes with finite number of states

  • O. M. Kinash
Article
  • 22 Downloads

Abstract

The asymptotic behavior is found for a solution of a multidimensional regeneration equation composed for a class of homogeneous Markov processes. An application of the result found is given to the study of consolidated processes.

Keywords

Asymptotic Behavior Finite Number Limit Theorem Markov Process Consolidate Process 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature cited

  1. 1.
    V. M. Shurenkov, Transition phenomena of regeneration theory in asymptotic problems of the theory of stochastic processes. I, Mat. Sb.,112, No. 1, 115–132 (1980).Google Scholar
  2. 2.
    I. I. Gikhman and A. V. Skorokhod, Theory of Stochastic Processes [in Russian], Vol. 2, Nauka, Moscow (1973).Google Scholar
  3. 3.
    V. M. Shurenkov, Ergodic Markov Processes [in Russian], Nauka, Moscow (1989).Google Scholar
  4. 4.
    P. P. Kutsiya, “A theorem of multidimensional regeneration,” Izv. Akad. Nauk GSSR,135, No. 3, 463–466 (1989).Google Scholar
  5. 5.
    V. S. Korolyuk and A. F. Turbin, Mathematical Foundations of Phase Consolidation of Complex Systems [in Russian], Naukova Dumka, Kiev (1978).Google Scholar

Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • O. M. Kinash
    • 1
  1. 1.Institute of MathematicsAcademy of Sciences of the Ukrainian SSRKiev

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