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Matematicheskie Zametki, 2010, Volume 87, Issue 1, Pages 17–25
DOI: https://doi.org/10.4213/mzm6373 (Mi mzm6373) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the Comparison of Distribution Functions of Random Variables

S. V. Astashkin

Samara State University
Full-text PDF (475 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm6373
Abstract: We prove a rather general comparison principle for the distribution functions of random variables. As a consequence, we obtain a criterion for the equivalence, in distribution in the vector sense, of an arbitrary sequence of random variables to the Rademacher system; we study the applications of this principle to special cases.
Keywords: distribution function of a random variable, comparison principle, Rademacher system, Banach space, Chebyshev inequality, Peetre $\mathscr K$-functional, Banach couple.
Received: 19.08.2008
Revised: 19.05.2009
English version:
Mathematical Notes, 2010, Volume 87, Issue 1, Pages 15–22
DOI: https://doi.org/10.1134/S0001434610010037
Bibliographic databases:
UDC: 517.5+517.982.27
Language: Russian
Citation: S. V. Astashkin, “On the Comparison of Distribution Functions of Random Variables”, Mat. Zametki, 87:1 (2010), 17–25; Math. Notes, 87:1 (2010), 15–22
Citation in format AMSBIB
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    • 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
    		Математические заметки Mathematical Notes
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    References:68
    First page:26
     
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