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Teoriya Veroyatnostei i ee Primeneniya, 1979, Volume 24, Issue 2, Pages 389–394 (Mi tvp2872)  
Short Communications

On the additive functionals of branching processes

V. M. Šurenkov

Kiev
Full-text PDF (403 kB)
Abstract: We define the additive functionals on the trajectories of branching processes. It is shown that in the critical and supercritical cases under the condition of non-extinction the value of the functional is asymptotically linearly dependent on the number of particles. Some examples are given.
Received: 18.04.1977
English version:
Theory of Probability and its Applications, 1979, Volume 24, Issue 2, Pages 396–401
DOI: https://doi.org/10.1137/1124044
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. M. Šurenkov, “On the additive functionals of branching processes”, Teor. Veroyatnost. i Primenen., 24:2 (1979), 389–394; Theory Probab. Appl., 24:2 (1979), 396–401
Citation in format AMSBIB
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\by V.~M.~{\v S}urenkov
\paper On the additive functionals of branching processes
\jour Teor. Veroyatnost. i Primenen.
\yr 1979
\vol 24
\issue 2
\pages 389--394
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=532452}
\zmath{https://zbmath.org/?q=an:0398.60086}
\transl
\jour Theory Probab. Appl.
\yr 1979
\vol 24
\issue 2
\pages 396--401
\crossref{https://doi.org/10.1137/1124044}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1979KK64200013}
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  • https://www.mathnet.ru/eng/tvp/v24/i2/p389
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