Journal of Mathematical Sciences

, Volume 83, Issue 3, pp 397–400 | Cite as

Transition phenomena for a Galton-Watson process with immigration in a Markovian environment

  • E. E. Dyakonova
Article
  • 18 Downloads

Abstract

The behavior of a Galton-Watson process with state-dependent immigration in a Markovian random environment is investigated. We obtain a limit theorem in the near-critical case.

Keywords

Limit Theorem Random Environment Transition Phenomenon Markovian Environment Markovian Random Environment 

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References

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    E. E. Dyakonova, “On a Galton-Watson process with immigration,” in:Stability Problems for Stochastic Models. Proceedings of the Seminar [in Russian], The Institute for Systems Studies, Moscow (1991), pp. 49–52.Google Scholar
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    E. E. Dyakonova, “Transition phenomena for branching processes in random environment,”J. Math. Sciences (to appear) (1996).Google Scholar

Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • E. E. Dyakonova
    • 1
  1. 1.Steklov Mathematical InstituteMoscowRussia

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