Total variation distance and the distribution of relative information

Sergio Verdú

doi:10.1109/ITA.2014.6804281

Total variation distance and the distribution of relative information

Sergio Verdú

Research output: Contribution to conference › Paper › peer-review

45 Scopus citations

Abstract

We give explicit expressions, upper and lower bounds on the total variation distance between P and Q in terms of the distribution of the random variables log dP/dQ (X) and log dP/dQ(Y), where X and Y are distributed according to P and Q respectively.

Original language	English (US)
DOIs	https://doi.org/10.1109/ITA.2014.6804281
State	Published - 2014
Event	2014 IEEE Information Theory and Applications Workshop, ITA 2014 - San Diego, CA, United States Duration: Feb 9 2014 → Feb 14 2014

Other

Other	2014 IEEE Information Theory and Applications Workshop, ITA 2014
Country/Territory	United States
City	San Diego, CA
Period	2/9/14 → 2/14/14

All Science Journal Classification (ASJC) codes

Computer Science Applications
Information Systems

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10.1109/ITA.2014.6804281

Cite this

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title = "Total variation distance and the distribution of relative information",

abstract = "We give explicit expressions, upper and lower bounds on the total variation distance between P and Q in terms of the distribution of the random variables log dP/dQ (X) and log dP/dQ(Y), where X and Y are distributed according to P and Q respectively.",

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language = "English (US)",

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AU - Verdú, Sergio

PY - 2014

Y1 - 2014

N2 - We give explicit expressions, upper and lower bounds on the total variation distance between P and Q in terms of the distribution of the random variables log dP/dQ (X) and log dP/dQ(Y), where X and Y are distributed according to P and Q respectively.

AB - We give explicit expressions, upper and lower bounds on the total variation distance between P and Q in terms of the distribution of the random variables log dP/dQ (X) and log dP/dQ(Y), where X and Y are distributed according to P and Q respectively.

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U2 - 10.1109/ITA.2014.6804281

DO - 10.1109/ITA.2014.6804281

M3 - Paper

AN - SCOPUS:84901218187

T2 - 2014 IEEE Information Theory and Applications Workshop, ITA 2014

Y2 - 9 February 2014 through 14 February 2014

ER -

Total variation distance and the distribution of relative information

Abstract

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All Science Journal Classification (ASJC) codes

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