Some results on generalized residual entropy

Authors:
Asok K. Nanda;Prasanta Paul
Affiliations:
Department of Mathematics, Indian Institute of Technology, Kharagpur 721 302, India;Department of Mathematics, Indian Institute of Technology, Kharagpur 721 302, India
Venue:
Information Sciences: an International Journal
Year:
2006

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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 @f with @f(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.