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 Teor. Veroyatnost. i Primenen., 1972, Volume 17, Issue 1, Pages 71–83 (Mi tvp4190)

A Limit Theorem for Generalized Random Branching Processes Depending on the Size of the Population

V. A. Labkovskii

Moscow

Abstract: A generalized branching processes is considered for which the probabilities of division of particles depend on their number at the time of division. A limit theorem is proved describing the asymptotic behaviour of the first exit time of the population size out of given bounds as both the initial number of particles and the bounds increase.

Full text: PDF file (1977 kB)

English version:
Theory of Probability and its Applications, 1972, 17:1, 72–85

Bibliographic databases:

Citation: V. A. Labkovskii, “A Limit Theorem for Generalized Random Branching Processes Depending on the Size of the Population”, Teor. Veroyatnost. i Primenen., 17:1 (1972), 71–83; Theory Probab. Appl., 17:1 (1972), 72–85

Citation in format AMSBIB
\Bibitem{Lab72} \by V.~A.~Labkovskii \paper A Limit Theorem for Generalized Random Branching Processes Depending on the Size of the Population \jour Teor. Veroyatnost. i Primenen. \yr 1972 \vol 17 \issue 1 \pages 71--83 \mathnet{http://mi.mathnet.ru/tvp4190} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=298785} \zmath{https://zbmath.org/?q=an:0279.60077} \transl \jour Theory Probab. Appl. \yr 1972 \vol 17 \issue 1 \pages 72--85 \crossref{https://doi.org/10.1137/1117006}