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Cross entropy, dissimilarity measures, and characterizations of quadratic entropy

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2 Author(s)

A unified approach is given for constructing cross entropy and dissimilarity measures between probability distributions, based on a given entropy function or a diversity measure. Special properties of quadratic entropy introduced by Rao [7] are described. In particular it is shown that the square root of the Jensen difference (dissimilarity measure) arising out of a quadratic entropy provides a metric on a probability space. Several characterizations of quadratic entropy are obtained.

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Information Theory, IEEE Transactions on  (Volume:31 ,  Issue: 5 )