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Teoriya Veroyatnostei i ee Primeneniya, 1997, Volume 42, Issue 3, Pages 553–563
DOI: https://doi.org/10.4213/tvp1952 (Mi tvp1952) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Strong laws for sums of extreme values

M. Broniatowskia, M. Weberb

a CNRS and Universite de Reims, France
b CNRS Université de Strasbourg
Full-text PDF (453 kB) Citations (1)
DOI: https://doi.org/10.4213/tvp1952
Abstract: We present a new approach to strong laws for sums of extreme values of sequences of independent not necessarily identically distributed random variables. Our technique is based on a simple extension of an inequality of M. Marcus and G. Pisier [M. Marcus and G. Pisier, Acta Math., 152 (1984), pp. 245–301.] on the tail distribution of weak $l_p$ norms of independent sequences of real random variables. Our results are also related to some extensions of the Marcinkiewicz–Zygmund law of large numbers.
Keywords: order statistics, extreme values, laws of largenumbers, Marcinkiewicz–Zygmund law of large numbers, Banach spaces.
Received: 10.12.1994
English version:
Theory of Probability and its Applications, 1998, Volume 42, Issue 3, Pages 395–404
DOI: https://doi.org/10.1137/S0040585X97976283
Bibliographic databases:
Language: English
Citation: M. Broniatowski, M. Weber, “Strong laws for sums of extreme values”, Teor. Veroyatnost. i Primenen., 42:3 (1997), 553–563; Theory Probab. Appl., 42:3 (1998), 395–404
Citation in format AMSBIB
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\paper Strong laws for~sums of~extreme values
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\pages 553--563
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\transl
\jour Theory Probab. Appl.
\yr 1998
\vol 42
\issue 3
\pages 395--404
\crossref{https://doi.org/10.1137/S0040585X97976283}
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    • This publication is cited in the following 1 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
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