Rao, C. R. ; Nayak, T. (1985) Cross entropy, dissimilarity measures and characterizations of quadratic entropy IEEE Transactions on Information Theory, 31 (5). pp. 589-593. ISSN 0018-9448
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Official URL: http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumb...
Related URL: http://dx.doi.org/10.1109/TIT.1985.1057082
Abstract
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to IEEE. |
| ID Code: | 71856 |
| Deposited On: | 28 Nov 2011 04:11 |
| Last Modified: | 28 Nov 2011 04:11 |
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