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Teoriya Veroyatnostei i ee Primeneniya, 1999, Volume 44, Issue 1, Pages 138–143
DOI: https://doi.org/10.4213/tvp607 (Mi tvp607) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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On convergence in law of maxima of independent identically distributed random variables with random coefficients

A. N. Chuprunov

N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University
Full-text PDF (890 kB) Citations (1)
DOI: https://doi.org/10.4213/tvp607
Abstract: This paper provides limit theorems for maxima of independent identically distributed random variables which belong to the domain of normal attraction of a max-stable variable and have random coefficients with the property of asymptotic negligibility or its analogues. The convergence of random step-functions determined by those maxima is studied in the Skorokhod space. The limit distributions are indicated.
Keywords: independent identically distributed random variables, convergence in law, functional limit theorem, invariance principle, max-stable distributions.
Received: 20.11.1996
English version:
Theory of Probability and its Applications, 2000, Volume 44, Issue 1, Pages 93–97
DOI: https://doi.org/10.1137/S0040585X97977434
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. N. Chuprunov, “On convergence in law of maxima of independent identically distributed random variables with random coefficients”, Teor. Veroyatnost. i Primenen., 44:1 (1999), 138–143; Theory Probab. Appl., 44:1 (2000), 93–97
Citation in format AMSBIB
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\paper On convergence in law of maxima of independent identically distributed random variables with random coefficients
\jour Teor. Veroyatnost. i Primenen.
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\pages 138--143
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\transl
\jour Theory Probab. Appl.
\yr 2000
\vol 44
\issue 1
\pages 93--97
\crossref{https://doi.org/10.1137/S0040585X97977434}
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  • https://doi.org/10.4213/tvp607
  • https://www.mathnet.ru/eng/tvp/v44/i1/p138
    • This publication is cited in the following 1 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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