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Teoriya Veroyatnostei i ee Primeneniya, 2007, Volume 52, Issue 1, Pages 186–190
DOI: https://doi.org/10.4213/tvp14 (Mi tvp14) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Short Communications

Estimates for moduli of smoothness of distribution functions

J. A. Adell, A. Lekuona

University of Zaragoza
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DOI: https://doi.org/10.4213/tvp14
Abstract: We give upper bounds for the usual moduli of smoothness of a distribution function $F$ in terms of its characteristic function $\varphi$. In particular, we complete some known estimates of the concentration function of $F$. Our approach uses a new version of the classical Berry–Esseen smoothing inequality.
Keywords: modulus of smoothness, concentration function, characteristic function, smoothing inequality.
Received: 22.11.2004
English version:
Theory of Probability and its Applications, 2008, Volume 52, Issue 1, Pages 148–152
DOI: https://doi.org/10.1137/S0040585X97982918
Bibliographic databases:
Document Type: Article
Language: English
Citation: J. A. Adell, A. Lekuona, “Estimates for moduli of smoothness of distribution functions”, Teor. Veroyatnost. i Primenen., 52:1 (2007), 186–190; Theory Probab. Appl., 52:1 (2008), 148–152
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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