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Teoriya Veroyatnostei i ee Primeneniya, 2002, Volume 47, Issue 3, Pages 575–583
DOI: https://doi.org/10.4213/tvp3697 (Mi tvp3697) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Short Communications

On the role of extreme summands in sums of independent random variables

A. V. Nagaeva, I. M. Khamdamovb

a Nikolaus Copernicus University
b Institute for Mathematics and Information Technologies of the National Academy of Sciences of Uzbekistan
Full-text PDF (838 kB) Citations (5)
DOI: https://doi.org/10.4213/tvp3697
Abstract: Sums of independent identically distributed random variables are considered. It is assumed that the underlying distribution belongs to the domain of attraction of a stable law with the characteristic exponent $\alpha\in(0,1)\cup(1,2)$. We focus our attention on the limit distribution of those sums from which k extreme right and $m$ extreme left summands are removed.
Keywords: monotone $\varepsilon$-approximation, order statistic, Poisson spectrum, stable distribution.
Received: 22.07.1998
Revised: 03.03.1999
English version:
Theory of Probability and its Applications, 2003, Volume 47, Issue 3, Pages 533–541
DOI: https://doi.org/10.1137/S0040585X97979913
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Nagaev, I. M. Khamdamov, “On the role of extreme summands in sums of independent random variables”, Teor. Veroyatnost. i Primenen., 47:3 (2002), 575–583; Theory Probab. Appl., 47:3 (2003), 533–541
Citation in format AMSBIB
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\transl
\jour Theory Probab. Appl.
\yr 2003
\vol 47
\issue 3
\pages 533--541
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  • https://doi.org/10.4213/tvp3697
  • https://www.mathnet.ru/eng/tvp/v47/i3/p575
    • 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
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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