A Comparative Assessment of Various Measures of Entropy

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Abstract
A large number of measures of entropy have been proposed by Hartley [21], Shannon [46], Renyi [43], Havrada and Charvat [22], Aczel and Daroczy [5], Kapur [25, 26,27], Rathie [42], Behara and Chawla [11], Sharma and Taneja [47] and others. These do not measure the same entity. Moreover the definitions of the various measures have been motivated by quite different considerations. The use of the same word ‘entropy’ for so many Intrinsically different entities is confusing and unfortunate. The present paper attempts to explain each of the entropies in its proper perspective by making a comparative assessment of the various measures proposed.

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