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

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Teoriya Veroyatnostei i ee Primeneniya, 1972, Volume 17, Issue 1, Pages 71–83 (Mi tvp4190)

This article is cited in 21 scientific papers (total in 21 papers)

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

V. A. Labkovskii

Moscow

Full-text PDF (1977 kB) Citations (21)

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.

Received: 12.06.1969

English version:
Theory of Probability and its Applications, 1972, Volume 17, Issue 1, Pages 72–85
DOI: https://doi.org/10.1137/1117006

Bibliographic databases:

Language: Russian

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

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\by V.~A.~Labkovskii

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

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\yr 1972

\vol 17

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\pages 71--83

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\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}

Linking options:

https://www.mathnet.ru/eng/tvp4190

https://www.mathnet.ru/eng/tvp/v17/i1/p71

This publication is cited in the following 21 articles:

Controlled Branching Processes, 2018, 197
Florian Simatos, Wiley Encyclopedia of Operations Research and Management Science, 2011, 1
Yuqiang Li, “On a Continuous-State Population-Size-Dependent Branching Process and Its Extinction”, Journal of Applied Probability, 43:1 (2006), 195
Yuqiang Li, “On a Continuous-State Population-Size-Dependent Branching Process and Its Extinction”, J. Appl. Probab., 43:01 (2006), 195
N. Lalam, C. Jacob, “Estimation of the offspring mean in a supercritical or near-critical size-dependent branching process”, Advances in Applied Probability, 36:2 (2004), 582
N. Lalam, C. Jacob, “Estimation of the offspring mean in a supercritical or near-critical size-dependent branching process”, Adv. Appl. Probab., 36:02 (2004), 582
P. R. Parthasarathy, B. Krishna Kumar, “Density‐dependent birth and death processes with immigration”, International Journal of Mathematical Education in Science and Technology, 24:1 (1993), 55
P.R. Parthasarathy, B.Krishna Kumar, “Density-dependent birth and death process with state-dependent immigration”, Mathematical and Computer Modelling, 15:1 (1991), 11
Pablo Olivares-Reimont, Alain Rouault, “Unscaled spatial branging process with interaction: macrospic equation and local equilibrium”, Stochastic Analysis and Applications, 8:4 (1990), 445
F. C. Klebaner, “A limit theorem for population-size-dependent branching processes”, Journal of Applied Probability, 22:1 (1985), 48
F. C. Klebaner, “A limit theorem for population-size-dependent branching processes”, J. Appl. Probab., 22:01 (1985), 48
F. C. Klebaner, “On population-size-dependent branching processes”, Advances in Applied Probability, 16:1 (1984), 30
F. C. Klebaner, “Geometric rate of growth in population-size-dependent branching processes”, J. Appl. Probab., 21:01 (1984), 40
F. C. Klebaner, “Geometric rate of growth in population-size-dependent branching processes”, Journal of Applied Probability, 21:1 (1984), 40
F. C. Klebaner, “On population-size-dependent branching processes”, Adv. Appl. Probab., 16:01 (1984), 30
F. C. Klebaner, “Population-size-dependent branching process with linear rate of growth”, Journal of Applied Probability, 20:2 (1983), 242
F. C. Klebaner, “Population-size-dependent branching process with linear rate of growth”, J. Appl. Probab., 20:02 (1983), 242
W. Rittgen, Lecture Notes in Biomathematics, 38, Biological Growth and Spread, 1980, 98
W. Rittgen, P. Tautu, Lecture Notes in Biomathematics, 11, Mathematical Models in Medicine, 1976, 109
Tetsuo Fujimagari, “Controlled Galton-Watson process and its asymptotic behavior”, Kodai Math. J., 27:1-2 (1976)

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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