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Teoriya Veroyatnostei i ee Primeneniya, 1968, Volume 13, Issue 1, Pages 82–95 (Mi tvp794)  

This article is cited in 9 scientific papers (total in 9 papers)

On properties of branching processes with an arbitrary set of types of particles

B. P. Harlamov

Leningrad
Abstract: A method of analysis of branching processes using the space of tree sections (the tree is the set of offsprings with their genealogies) is presented. Some formulas and theorems stated previously for particular sets are generalized to the case of an arbitrary set of types of particles. Some results concerning the maximal distance of relationship are given. The existence of a non-degenerate limit distribution for the maximal distance of relationship in a group with a fixed number of offsprings is proved. This distribution is estimated for some particular cases.
Received: 25.04.1966
English version:
Theory of Probability and its Applications, 1968, Volume 13, Issue 1, Pages 84–98
DOI: https://doi.org/10.1137/1113006
Bibliographic databases:
Language: Russian
Citation: B. P. Harlamov, “On properties of branching processes with an arbitrary set of types of particles”, Teor. Veroyatnost. i Primenen., 13:1 (1968), 82–95; Theory Probab. Appl., 13:1 (1968), 84–98
Citation in format AMSBIB
\Bibitem{Har68}
\by B.~P.~Harlamov
\paper On properties of branching processes with an arbitrary set of types of particles
\jour Teor. Veroyatnost. i Primenen.
\yr 1968
\vol 13
\issue 1
\pages 82--95
\mathnet{http://mi.mathnet.ru/tvp794}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=228072}
\zmath{https://zbmath.org/?q=an:0196.18902}
\transl
\jour Theory Probab. Appl.
\yr 1968
\vol 13
\issue 1
\pages 84--98
\crossref{https://doi.org/10.1137/1113006}
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  • https://www.mathnet.ru/eng/tvp/v13/i1/p82
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теория вероятностей и ее применения Theory of Probability and its Applications
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