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, 1996, Volume 41, Issue 3, Pages 520–532
DOI: https://doi.org/10.4213/tvp3132 (Mi tvp3132) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Limit theorems for the maximal random sums

V. M. Kruglov, Zhang Bo

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (635 kB) Citations (9)
DOI: https://doi.org/10.4213/tvp3132
Abstract: Necessary and sufficient conditions are given for monotone sequences of scaled random variables with a random index to converge weakly or converge weakly with the mixing property in Rényi's sense. The main results are related with the case when the terms of the sequences are sequential maximal sums of independent random variables.
Keywords: weak convergence, mixing property in Rényi's sense, maximalsum of random variables, random variable.
Received: 06.02.1995
English version:
Theory of Probability and its Applications, 1997, Volume 41, Issue 3, Pages 468–478
DOI: https://doi.org/10.1137/S0040585X97975216
Bibliographic databases:
Language: Russian
Citation: V. M. Kruglov, Zhang Bo, “Limit theorems for the maximal random sums”, Teor. Veroyatnost. i Primenen., 41:3 (1996), 520–532; Theory Probab. Appl., 41:3 (1997), 468–478
Citation in format AMSBIB
\Bibitem{KruZha96}
\by V.~M.~Kruglov, Zhang~Bo
\paper Limit theorems for the maximal random sums
\jour Teor. Veroyatnost. i Primenen.
\yr 1996
\vol 41
\issue 3
\pages 520--532
\mathnet{http://mi.mathnet.ru/tvp3132}
\crossref{https://doi.org/10.4213/tvp3132}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1450072}
\zmath{https://zbmath.org/?q=an:0896.60009}
\transl
\jour Theory Probab. Appl.
\yr 1997
\vol 41
\issue 3
\pages 468--478
\crossref{https://doi.org/10.1137/S0040585X97975216}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1997XZ71800005}
Linking options:
  • https://www.mathnet.ru/eng/tvp3132
  • https://doi.org/10.4213/tvp3132
  • https://www.mathnet.ru/eng/tvp/v41/i3/p520
    • 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
    Statistics & downloads:
    Abstract page:335
    Full-text PDF :168
    First page:25
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024