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More on a New Concept of Entropy and Information

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An alternative notion of entropy called CRE is proposed in [Ra1] Rao et al. (IEEE Trans. Inf. Theory 50, 2004). This preserves many of the properties of Shannon Entropy and possesses mathematical properties, which we hope will be of use in statistical estimates. In this article, we develop some more mathematical properties of CRE, show its relation to the L log L class, and characterize among others the Weibull distribution.

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Authors and Affiliations

  1. Department of Mathematics, University of Florida, Gainesville, 32611-8105, FL, USA

    Murali Rao

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  1. Murali Rao
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Correspondence to Murali Rao.

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Rao, M. More on a New Concept of Entropy and Information. J Theor Probab 18, 967–981 (2005). https://doi.org/10.1007/s10959-005-7541-3

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  • DOI: https://doi.org/10.1007/s10959-005-7541-3

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