V. A. Vatutin, “Discrete limit distributions of the number of particles in a multitype age-dependent branching processes”, Teor. Veroyatnost. i Primenen., 24:3 (1979), 503–514; Theory Probab. Appl., 24:3 (1980), 509

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Teoriya Veroyatnostei i ee Primeneniya, 1979, Volume 24, Issue 3, Pages 503–514 (Mi tvp2635)

This article is cited in 18 scientific papers (total in 18 papers)

Discrete limit distributions of the number of particles in a multitype age-dependent branching processes

V. A. Vatutin

Moscow

Full-text PDF (677 kB) Citations (18)

Abstract: In this paper the results of the author's article [2] are generalized for the multitype case.

Received: 04.07.1977

English version:
Theory of Probability and its Applications, 1980, Volume 24, Issue 3, Pages 509–520
DOI: https://doi.org/10.1137/1124061

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: V. A. Vatutin, “Discrete limit distributions of the number of particles in a multitype age-dependent branching processes”, Teor. Veroyatnost. i Primenen., 24:3 (1979), 503–514; Theory Probab. Appl., 24:3 (1980), 509–520

Citation in format AMSBIB

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\paper Discrete limit distributions of the number of particles in a~multitype age-dependent branching processes

\jour Teor. Veroyatnost. i Primenen.

\yr 1979

\vol 24

\issue 3

\pages 503--514

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\transl

\jour Theory Probab. Appl.

\yr 1980

\vol 24

\issue 3

\pages 509--520

\crossref{https://doi.org/10.1137/1124061}

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Linking options:

https://www.mathnet.ru/eng/tvp2635

https://www.mathnet.ru/eng/tvp/v24/i3/p503

This publication is cited in the following 18 articles:

V. A. Topchiǐ, “On renewal matrices connected with branching processes with tails of distributions of different orders”, Siberian Adv. Math., 28:2 (2018), 115–153
V. A. Vatutin, V. A. Topchii, “Momenty mnogomernykh kriticheskikh protsessov Bellmana–Kharrisa s razlichnoi skorostyu ubyvaniya khvostov raspredelenii prodolzhitelnosti zhizni chastits”, Sib. elektron. matem. izv., 14 (2017), 1248–1264
Valentin A. Topchiy, “Two-dimensional renewal theorems with weak moment conditions and critical Bellman – Harris branching processes”, Discrete Math. Appl., 26:1 (2016), 51–69
A. L. Yakymiv, “Tauberian theorem for generating functions of multiple series”, Theory Probab. Appl., 60:2 (2016), 343–347
V. Vatutin, A. Iksanov, V. Topchii, “A two-type Bellman–Harris process initiated by a large number of particles”, Acta Appl. Math., 138:1 (2015), 279–312
Bulinskaya E.V., “Local Particles Numbers in Critical Branching Random Walk”, J. Theor. Probab., 27:3 (2014), 878–898
V. A. Vatutin, V. A. Topchii, “Critical Bellman–Harris branching processes with long-living particles”, Proc. Steklov Inst. Math., 282 (2013), 243–272
V. A. Vatutin, V. A. Topchiǐ, “Catalytic branching random walks in $\mathbb Z^d$ with branching at the origin”, Siberian Adv. Math., 23:2 (2013), 125–153
Kevei P., Lopez Mimbela J.A., “Critical Multitype Branching Systems: Extinction Result”, Electron J Probab, 16 (2011), 1356–1380
Peter Kevei, Jose Lopez Mimbela, “Critical Multitype Branching Systems: Extinction Results”, Electron. J. Probab., 16:none (2011)
E. Vl. Bulinskaya, “Catalytic branching random walk on two-dimensional lattice”, Theory Probab. Appl., 55:1 (2011), 120–126
V. A. Vatutin, “Vetvyaschiesya protsessy Bellmana–Kharrisa”, Lekts. kursy NOTs, 12, MIAN, M., 2009, 3–111
V. A. Vatutin, V. A. Topchii, “Limit theorem for critical catalytic branching random walks”, Theory Probab. Appl., 49:3 (2005), 498–518
V. A. Vatutin, “The total number of particles in a reduced Bellman–Harris branching process”, Theory Probab. Appl., 38:3 (1993), 567–571
V. A. Vatutin, S. M. Sagitov, “A critical branching process: the remote past given a favorable present”, Theory Probab. Appl., 36:1 (1991), 86–98
V. A. Vatutin, S. M. Sagitov, “Decomposable Critical Branching Bellman–Harris Process with Particles of Two Different Tupes. II”, Theory Probab. Appl., 34:2 (1989), 216–227
V. A. Vatutin, S. M. Sagitov, “Decomposable Critical Branching Bellman–Harris Process with Particles of Two Different Types. I”, Theory Probab. Appl., 33:3 (1988), 460–472
V. A. Vatutin, “On a class of the critical multitype Bellman–Harris branching processes”, Theory Probab. Appl., 25:4 (1981), 760–771

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

Theory of Probability and its Applications

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