总变异距离和相对信息的分布

2014 Information Theory and Applications Workshop (ITA) Pub Date : 2014-04-24 DOI:10.1109/ITA.2014.6804281

S. Verdú

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引用次数: 54

摘要

我们根据随机变量logdp /dQ(X)和logdp /dQ(Y)的分布给出了P和Q之间总变异距离的显式表达式和上界和下界，其中X和Y分别根据P和Q分布。

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Total variation distance and the distribution of relative information

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 accorκding to P and Q respectively.

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2014 Information Theory and Applications Workshop (ITA)

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