Proximity of probability distributions in terms of Fourier-Stieltjes transforms

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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.

Original languageEnglish (US)
Pages (from-to)1021-1079
Number of pages59
JournalRussian Mathematical Surveys
Volume71
Issue number6
DOIs
StatePublished - 2016

Bibliographical note

Publisher Copyright:
© 2016 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd.

Keywords

  • Probability metrics
  • Smoothing inequalities

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