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Teoriya Veroyatnostei i ee Primeneniya, 2007, Volume 52, Issue 1, Pages 175–179
DOI: https://doi.org/10.4213/tvp12 (Mi tvp12) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Short Communications

Superlarge deviation probabilities for sums of independent random variables with exponential decreasing distribution

L. V. Rozovskii

Saint-Petersburg Chemical-Pharmaceutical Academy
Full-text PDF (473 kB) Citations (3)
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DOI: https://doi.org/10.4213/tvp12
Abstract: In this paper large deviation probabilities of sums of independent identically distributed random variables are studied, whose distribution function has an exponential decreasing tail.
Keywords: independent random variables, large deviations, regular varying function.
Received: 23.11.2005
English version:
Theory of Probability and its Applications, 2008, Volume 52, Issue 1, Pages 167–171
DOI: https://doi.org/10.1137/S0040585X9798289X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. V. Rozovskii, “Superlarge deviation probabilities for sums of independent random variables with exponential decreasing distribution”, Teor. Veroyatnost. i Primenen., 52:1 (2007), 175–179; Theory Probab. Appl., 52:1 (2008), 167–171
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tvp12
  • https://doi.org/10.4213/tvp12
  • https://www.mathnet.ru/eng/tvp/v52/i1/p175
    Cycle of papers
    This publication is cited in the following 3 articles:
    1. L. V. Rozovskii, “Superlarge deviation probabilities for sums of independent random variables with exponential decreasing distributions. II”, Theory Probab. Appl., 59:1 (2015), 168–177  mathnet  crossref  crossref  mathscinet  isi  elib
    2. Rozovsky L., “Super large deviation probabilities for sums of independent lattice random variables with exponential decreasing tails”, Statist. Probab. Lett., 82:1 (2012), 72–76  crossref  mathscinet  zmath  isi  elib  scopus
    3. L. V. Rozovsky, “Small deviation probabilities for sums of independent positive random variables, whose density has a power decay at zero”, J. Math. Sci. (N. Y.), 188:6 (2013), 748–752  mathnet  mathnet  crossref  scopus
    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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    Abstract page:403
    Full-text PDF :189
    References:77
    First page:23
     
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