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Teoriya Veroyatnostei i ee Primeneniya, 2017, Volume 62, Issue 3, Pages 610–616
DOI: https://doi.org/10.4213/tvp5124 (Mi tvp5124) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Short Communications

Small deviation probabilities of weighted sum of independent random variables with a common distribution having a power decrease in zero under minimal moment assumptions

L. V. Rozovskii

Saint-Petersburg Chemical-Pharmaceutical Academy
Full-text PDF (448 kB) Citations (3)
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DOI: https://doi.org/10.4213/tvp5124
Abstract: We represent a certain weight condition such that the exact formula for the asymptotic behavior of small deviation probabilities for weighted sum of independent random variables with a common distribution, which has a power decay at zero, is valid under optimal moment assumptions.
Keywords: small deviations, sums of independent positive random variables, slowly varying functions.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00256a
Ministry of Education and Science of the Russian Federation НШ-2504.2014.1
This research was carried out with the financial support of the Russian Science Foundation (grant 13-01-00256-a) and the Programme for Support of Leading Scientific Schools of the President of the Russian Federation (grant NSh-2504.2014.1).
Received: 09.11.2014
Revised: 21.05.2015
English version:
Theory of Probability and its Applications, 2018, Volume 62, Issue 3, Pages 491–495
DOI: https://doi.org/10.1137/S0040585X97T988757
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. V. Rozovskii, “Small deviation probabilities of weighted sum of independent random variables with a common distribution having a power decrease in zero under minimal moment assumptions”, Teor. Veroyatnost. i Primenen., 62:3 (2017), 610–616; Theory Probab. Appl., 62:3 (2018), 491–495
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tvp/v62/i3/p610
    • This publication is cited in the following 3 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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