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Matematicheskie Zametki, 2005, Volume 77, Issue 4, Pages 544–550
DOI: https://doi.org/10.4213/mzm2516
(Mi mzm2516)
 

This article is cited in 5 scientific papers (total in 5 papers)

General scheme of maxima of sums of independent random variables and its applications

A. V. Lebedev

M. V. Lomonosov Moscow State University
Full-text PDF (199 kB) Citations (5)
References:
Abstract: A general scheme of maxima of sums of independent random variables is introduced. We prove a theorem on the convergence of the maxima in probability. We study its applications to large jumps in random walks and to extrema of shot-noise fields in the case of regularly varying tails. Nondegenerate limiting laws are obtained.
Received: 05.05.2003
Revised: 21.06.2004
English version:
Mathematical Notes, 2005, Volume 77, Issue 4, Pages 503–509
DOI: https://doi.org/10.1007/s11006-005-0050-y
Bibliographic databases:
UDC: 519.214.4
Language: Russian
Citation: A. V. Lebedev, “General scheme of maxima of sums of independent random variables and its applications”, Mat. Zametki, 77:4 (2005), 544–550; Math. Notes, 77:4 (2005), 503–509
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm2516
  • https://www.mathnet.ru/eng/mzm/v77/i4/p544
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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