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, 1967, Volume 12, Issue 1, Pages 179–183 (Mi tvp700)  
This article is cited in 6 scientific papers (total in 6 papers)

Short Communications

The Asymptotic Behaviour of the Probability that a Critical Branching Process is Not Extinct

B. A. Sevast'yanov

Moscow
Full-text PDF (296 kB) Citations (6)
Abstract: Critical age-dependent branching processes are considered. Let $\mu_t$ be the number of particles at a time $t$. For probability $\mathbf P\{\mu_t>0\}$ we derive the asymptotical formula (3) as $t\to\infty$ which is a generalization of (2).
Received: 23.10.1966
English version:
Theory of Probability and its Applications, 1967, Volume 12, Issue 1, Pages 152–154
DOI: https://doi.org/10.1137/1112021
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: B. A. Sevast'yanov, “The Asymptotic Behaviour of the Probability that a Critical Branching Process is Not Extinct”, Teor. Veroyatnost. i Primenen., 12:1 (1967), 179–183; Theory Probab. Appl., 12:1 (1967), 152–154
Citation in format AMSBIB
\Bibitem{Sev67}
\by B.~A.~Sevast'yanov
\paper The Asymptotic Behaviour of the Probability that a~Critical Branching Process is Not Extinct
\jour Teor. Veroyatnost. i Primenen.
\yr 1967
\vol 12
\issue 1
\pages 179--183
\mathnet{http://mi.mathnet.ru/tvp700}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=212879}
\zmath{https://zbmath.org/?q=an:0201.49602|0189.50902}
\transl
\jour Theory Probab. Appl.
\yr 1967
\vol 12
\issue 1
\pages 152--154
\crossref{https://doi.org/10.1137/1112021}
Linking options:
  • https://www.mathnet.ru/eng/tvp700
  • https://www.mathnet.ru/eng/tvp/v12/i1/p179
    • This publication is cited in the following 6 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024