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Renyi's entropy for residual lifetime distribution
Authors:B Abraham  P G Sankaran
Institution:(1) Department of Statistics and Actuarial Sciences, University of Waterloo, N2L 3G1 Waterloo, ON, Canada;(2) Department of Statistics, Cochin University of Science and Technology, 682022 Cochin, India
Abstract:In the present paper, we introduce and study Renyi's information measure (entropy) for residual lifetime distributions. It is shown that the proposed measure uniquely determines the distribution. We present characterizations for some lifetime models. Further, we define two new classes of life distributions based on this measure. Various properties of these classes are also given.
Keywords:Renyi's entropy  residual life  characterization
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