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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 351, Pages 253–258 (Mi znsl38)  
This article is cited in 1 scientific paper (total in 1 paper)

The Lipschitz property of the quantile functions on spaces of random variables

V. N. Sudakov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
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Abstract: It is proved that the quantile functions on the space of random variables obey the Lipschitz condition with the constant 1 with respect to any norm majorizing $L^\infty$-norm. The random variables considered need not to belong this $L^\infty$-space.
Received: 23.11.2007
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 152, Issue 6, Pages 941–943
DOI: https://doi.org/10.1007/s10958-008-9112-5
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: V. N. Sudakov, “The Lipschitz property of the quantile functions on spaces of random variables”, Probability and statistics. Part 12, Zap. Nauchn. Sem. POMI, 351, POMI, St. Petersburg, 2007, 253–258; J. Math. Sci. (N. Y.), 152:6 (2008), 941–943
Citation in format AMSBIB
\Bibitem{Sud07}
\by V.~N.~Sudakov
\paper The Lipschitz property of the quantile functions on spaces of random variables
\inbook Probability and statistics. Part~12
\serial Zap. Nauchn. Sem. POMI
\yr 2007
\vol 351
\pages 253--258
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl38}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 152
\issue 6
\pages 941--943
\crossref{https://doi.org/10.1007/s10958-008-9112-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-55049119880}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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