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, 2001, Volume 46, Issue 2, Pages 397–407
DOI: https://doi.org/10.4213/tvp3931 (Mi tvp3931) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Short Communications

On the Logarithm Law for Strictly Stationary and Negatively Associated Arrays

Su Chuna, Taizhong Hua, Hanying Liangb

a University of Science and Technology of China
b Tongji University
Full-text PDF (1045 kB) Citations (4)
DOI: https://doi.org/10.4213/tvp3931
Abstract: It is shown that the logarithm law holds for strictly stationary and negatively associated arrays under similar conditions to those for independent and identically distributed arrays. The Parseval formula in Fourier analysis is used to estimate some distance between negatively associated and independent random variables. Such a method is demonstrated to be useful for studying the limiting theory for negatively associated sequences.
Keywords: negatively associated sequence, array, logarithm law, Parseval formula, Fourier transform.
Received: 28.12.1998
English version:
Theory of Probability and its Applications, 2002, Volume 46, Issue 2, Pages 369–379
DOI: https://doi.org/10.1137/S0040585X97979020
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Su Chun, Taizhong Hu, Hanying Liang, “On the Logarithm Law for Strictly Stationary and Negatively Associated Arrays”, Teor. Veroyatnost. i Primenen., 46:2 (2001), 397–407; Theory Probab. Appl., 46:2 (2002), 369–379
Citation in format AMSBIB
\Bibitem{SuHuLia01}
\by Su Chun, Taizhong Hu, Hanying Liang
\paper On the Logarithm Law for Strictly Stationary and Negatively Associated Arrays
\jour Teor. Veroyatnost. i Primenen.
\yr 2001
\vol 46
\issue 2
\pages 397--407
\mathnet{http://mi.mathnet.ru/tvp3931}
\crossref{https://doi.org/10.4213/tvp3931}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1968697}
\zmath{https://zbmath.org/?q=an:1001.60034}
\transl
\jour Theory Probab. Appl.
\yr 2002
\vol 46
\issue 2
\pages 369--379
\crossref{https://doi.org/10.1137/S0040585X97979020}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000176400600015}
Linking options:
  • https://www.mathnet.ru/eng/tvp3931
  • https://doi.org/10.4213/tvp3931
  • https://www.mathnet.ru/eng/tvp/v46/i2/p397
    • This publication is cited in the following 4 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:270
    Full-text PDF :151
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024