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Rényi’s residual entropy: A quantile approach
Institution:1. Department of Mathematics and Statistics, Indian Institute of Science Education and Research, Kolkata, India;2. Department of Statistics, Cochin University of Science and Technology, Cochin, India;1. Department of Statistics, University of Birjand, Birjand, Iran;2. Department of Statistics, University of Sistan and Baluchestan, Zahedan, Iran;1. Department of Applied Mathematics, Delhi Technological University, Bawana Road, Delhi-110042, India;2. Department of Applied Sciences, UIET, M.D. University, Rohtak-124001, India;1. Department of Statistics and Insurance Science, University of Piraeus, Piraeus, Greece;2. Department of Statistics, Gonbad Kavous University, Gonbad Kavous, Iran
Abstract:In the present paper, we introduce a quantile based Rényi’s entropy function and its residual version. We study certain properties and applications of the measure. Unlike the residual Rényi’s entropy function, the quantile version uniquely determines the distribution.
Keywords:Rényi’s entropy function  Reliability measures  Residual lifetime  Quantile function  Stochastic ordering
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