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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
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\paper On the Logarithm Law for Strictly Stationary and Negatively Associated Arrays
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\pages 397--407
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\transl
\jour Theory Probab. Appl.
\yr 2002
\vol 46
\issue 2
\pages 369--379
\crossref{https://doi.org/10.1137/S0040585X97979020}
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  • 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
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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