Entropic approach to e. rio's central limit theorem for w2 transport distance

Sergey G. Bobkov

doi:10.1016/j.spl.2013.03.020

Entropic approach to e. rio's central limit theorem for _w2 transport distance

Sergey G. Bobkov

School of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

The central limit theorem is considered with respect to the transport distance _W2. We discuss an alternative approach to a result of E. Rio, based on a Berry-Esseen-type bound for the entropic distance to the normal distribution.

Original language	English (US)
Pages (from-to)	1644-1648
Number of pages	5
Journal	Statistics and Probability Letters
Volume	83
Issue number	7
DOIs	https://doi.org/10.1016/j.spl.2013.03.020
State	Published - Jul 2013

Bibliographical note

Funding Information:
Partially supported by the NSF grant DMS-1106530 and Simons Fellowship.

Keywords

Berry-Esseen-type bounds
Central limit theorem
Transport metrics

Publisher link

10.1016/j.spl.2013.03.020

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Cite this

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title = "Entropic approach to e. rio's central limit theorem for w2 transport distance",

abstract = "The central limit theorem is considered with respect to the transport distance W2. We discuss an alternative approach to a result of E. Rio, based on a Berry-Esseen-type bound for the entropic distance to the normal distribution.",

keywords = "Berry-Esseen-type bounds, Central limit theorem, Transport metrics",

author = "Bobkov, {Sergey G.}",

note = "Funding Information: Partially supported by the NSF grant DMS-1106530 and Simons Fellowship. ",

year = "2013",

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journal = "Statistics and Probability Letters",

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AU - Bobkov, Sergey G.

N1 - Funding Information: Partially supported by the NSF grant DMS-1106530 and Simons Fellowship.

PY - 2013/7

Y1 - 2013/7

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KW - Transport metrics

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