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Russian Mathematical Surveys, 2016, Volume 71, Issue 6, Pages 1021–1079
DOI: https://doi.org/10.1070/RM9749 (Mi rm9749) 		 
This article is cited in 28 scientific papers (total in 28 papers)

Proximity of probability distributions in terms of Fourier–Stieltjes transforms

S. G. Bobkov

School of Mathematics, University of Minnesota, Minneapolis, MN, USA
English version PDF (857 kB) Citations (28)
References:
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DOI: https://doi.org/10.1070/RM9749
Abstract: A survey is given of some results on smoothing inequalities for various probability metrics (in particular, for the Kolmogorov distance), and some analogues of these results in the class of functions of bounded variation are presented.
Bibliography: 61 titles.
Keywords: probability metrics, smoothing inequalities.
Funding agency Grant number
National Science Foundation NSF DMS-1612961
Alexander von Humboldt-Stiftung
This work was carried out with the support of the Alexander von Humboldt Foundation and the National Science Foundation (grant NSF DMS-1612961).
Received: 30.12.2015
Revised: 11.07.2016
Russian version:
Uspekhi Matematicheskikh Nauk, 2016, Volume 71, Issue 6(432), Pages 37–98
DOI: https://doi.org/10.4213/rm9749
Bibliographic databases:
Document Type: Article
UDC: 517.984+512.77
MSC: Primary 60E05, 60E10; Secondary 60B10, 60F05
Language: English
Original paper language: Russian
Citation: S. G. Bobkov, “Proximity of probability distributions in terms of Fourier–Stieltjes transforms”, Uspekhi Mat. Nauk, 71:6(432) (2016), 37–98; Russian Math. Surveys, 71:6 (2016), 1021–1079
Citation in format AMSBIB
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    • This publication is cited in the following 28 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:678
    English version PDF:53
    References:88
    First page:42
     
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