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Entropy of type (α, β) and other generalized measures in information theory

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Abstract

Two types of generalizations ofChaundy andMcLeod's functional equation have been proposed in the paper. One generalization includes parameters and leads to a new measure of entropy, which includesDaroczy's entropy of type β as a particular case. Such a generalization for functions of two variables leads to new quantities whose particular cases areKullback's information andKerridge's inaccuracy.

The second generalization is obtained by adding a symmetric term multiplied by a constant and gives alternative characterizations of quantities studied earlier.

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Authors and Affiliations

  1. Department of Mathematics, University of Delhi, Delhi-7, India

    B. D. Sharma & I. J. Taneja

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  1. B. D. Sharma
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  2. I. J. Taneja
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Sharma, B.D., Taneja, I.J. Entropy of type (α, β) and other generalized measures in information theory. Metrika 22, 205–215 (1975). https://doi.org/10.1007/BF01899728

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  • DOI: https://doi.org/10.1007/BF01899728

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