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Teoriya Veroyatnostei i ee Primeneniya, 1999, Volume 44, Issue 3, Pages 646–650
DOI: https://doi.org/10.4213/tvp809 (Mi tvp809) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Short Communications

An extremal property of the uniform distribution and some of its consequences

L. V. Rozovskii

Saint-Petersburg Chemical-Pharmaceutical Academy
Full-text PDF (288 kB) Citations (3)
DOI: https://doi.org/10.4213/tvp809
Abstract: In this note an extremal property of monotone function mean value of random variables with uniformly bounded densities is established. As a consequence, optimal upper bounds are obtained for characteristic functions of such a type of random variables.
Keywords: uniform distribution, density, moment inequalities, upper bounds, characteristic functions.
Received: 24.09.1998
English version:
Theory of Probability and its Applications, 2000, Volume 44, Issue 3, Pages 583–588
DOI: https://doi.org/10.1137/S0040585X97977793
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. V. Rozovskii, “An extremal property of the uniform distribution and some of its consequences”, Teor. Veroyatnost. i Primenen., 44:3 (1999), 646–650; Theory Probab. Appl., 44:3 (2000), 583–588
Citation in format AMSBIB
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\by L.~V.~Rozovskii
\paper An extremal property of the uniform distribution and some of its consequences
\jour Teor. Veroyatnost. i Primenen.
\yr 1999
\vol 44
\issue 3
\pages 646--650
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\crossref{https://doi.org/10.4213/tvp809}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1805826}
\zmath{https://zbmath.org/?q=an:0967.60012}
\transl
\jour Theory Probab. Appl.
\yr 2000
\vol 44
\issue 3
\pages 583--588
\crossref{https://doi.org/10.1137/S0040585X97977793}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000090154300011}
Linking options:
  • https://www.mathnet.ru/eng/tvp809
  • https://doi.org/10.4213/tvp809
  • https://www.mathnet.ru/eng/tvp/v44/i3/p646
    • This publication is cited in the following 3 articles:
    1. L. V. Rozovsky, “On Asymptotic Expansions in the “Interval” CLT for Sums of Independent Random Vectors”, J Math Sci, 244:5 (2020), 885  crossref
    2. L. V. Rozovskii, “On integro-local CLT for sums of independent random vectors”, Theory Probab. Appl., 64:4 (2020), 564–578  mathnet  crossref  crossref  isi  elib
    3. L. V. Rozovskii, “Ob asimptoticheskikh razlozheniyakh v “intervalnoi” TsPT dlya summ nezavisimykh sluchainykh vektorov”, Veroyatnost i statistika. 26, Zap. nauchn. sem. POMI, 466, POMI, SPb., 2017, 273–288  mathnet
    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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