Some results on generalized residual entropy |
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Authors: | Asok K. Nanda Prasanta Paul |
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Affiliation: | Department of Mathematics, Indian Institute of Technology, Kharagpur 721 302, India |
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Abstract: | Shannon’s entropy plays an important role in the context of information theory. Since this entropy is not applicable to a system which has survived for some units of time, the concept of residual entropy has been developed in the literature. Here we generalize the residual entropy by choosing a convex function ? with ?(1) = 0. In this paper, some orderings and aging properties have been defined in terms of the generalized residual entropy function and their properties have been studied. Quite a few results available in the literature have been generalized and some distributions (viz. uniform, exponential, Pareto, power series, finite range) have been characterized through the generalized residual entropy. |
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Keywords: | Directed information distance DURL class and IURL class Measure of information Minimal repair Residual entropy System improvement and deterioration |
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