Teoriya Veroyatnostei i ee Primeneniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Teor. Veroyatnost. i Primenen.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoriya Veroyatnostei i ee Primeneniya, 2003, Volume 48, Issue 3, Pages 453–465
DOI: https://doi.org/10.4213/tvp265 (Mi tvp265) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Limit theorem for an intermediate subcritical branching process in a random environment

V. A. Vatutin

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (1378 kB) Citations (14)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tvp265
Abstract: The asymptotic behavior of the survival probability of an intermediate subcritical branching process $Z_n$ in a random environment is found when a transformation of the reproduction law of the offspring number is attracted to a stable law $\alpha\in (1,2]$. It is shown that the distribution of the random variable $\{Z_n\}$ given $Z_n>0$ converges to a nondegenerate distribution as $n\to\infty$.
Keywords: branching processes in a random environment, survival probability, intermediate subcritical process, limit theorem, random walks, stable distributions.
Received: 03.12.2002
English version:
Theory of Probability and its Applications, 2004, Volume 48, Issue 3, Pages 481–492
DOI: https://doi.org/10.1137/S0040585X97980518
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. A. Vatutin, “Limit theorem for an intermediate subcritical branching process in a random environment”, Teor. Veroyatnost. i Primenen., 48:3 (2003), 453–465; Theory Probab. Appl., 48:3 (2004), 481–492
Citation in format AMSBIB
\Bibitem{Vat03}
\by V.~A.~Vatutin
\paper Limit theorem for an intermediate subcritical branching process in a
random environment
\jour Teor. Veroyatnost. i Primenen.
\yr 2003
\vol 48
\issue 3
\pages 453--465
\mathnet{http://mi.mathnet.ru/tvp265}
\crossref{https://doi.org/10.4213/tvp265}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2141345}
\zmath{https://zbmath.org/?q=an:1068.60096}
\transl
\jour Theory Probab. Appl.
\yr 2004
\vol 48
\issue 3
\pages 481--492
\crossref{https://doi.org/10.1137/S0040585X97980518}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000224300900006}
Linking options:
  • https://www.mathnet.ru/eng/tvp265
  • https://doi.org/10.4213/tvp265
  • https://www.mathnet.ru/eng/tvp/v48/i3/p453
    • This publication is cited in the following 14 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
    Statistics & downloads:
    Abstract page:828
    Full-text PDF :191
    References:82
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024