Ukrainian Mathematical Journal

, Volume 37, Issue 4, pp 334–339 | Cite as

Behavior of a branching process with immigration in a stimulating medium

  • R. V. Boiko
Article
  • 23 Downloads

Keywords

Stimulate Medium 
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.
    P. Lévy, “Systèmes Markoviens et stationnaires. Cas dénombrable,” Ann. Sci. Ecole Norm. Sup.,68, 327–381 (1951).Google Scholar
  2. 2.
    B. A. Sevast'yanov, Branching Processes [in Russian], Nauka, Moscow (1971).Google Scholar
  3. 3.
    G. Doetsch, Handbuch der Laplace-Transformation, Band 1, Birkhauser, Basel (1950).Google Scholar
  4. 4.
    R. V. Boiko, “On the asymptotic behavior of the extinction probability of a branching process with varying environment (the critical case),” in: Studies in the Theory of Random Processes, Izd. Inst. Hat. Akad. Nauk USSR, Kiev (1976), pp. 21–30.Google Scholar
  5. 5.
    K. B. Erickson, “Strong renewal theorems with infinite mean,” Trans. Am. Math. Soc.,151, No. 1, 263–291 (1970).Google Scholar

Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • R. V. Boiko
    • 1
  1. 1.Institute of MathematicsAcademy of Sciences of the Ukrainian SSRKiev

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