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Some distributional results through past entropy
Authors:Chanchal Kundu  Asok K Nanda  Sudhansu S Maiti
Institution:1. Rajiv Gandhi Institute of Petroleum Technology, Rae Bareli 229 316, UP, India;2. Department of Mathematical Sciences, IISER Kolkata, Mohanpur Campus, Mohanpur 741 252, India;3. Department of Statistics, Visva-Bharati University, Santiniketan 731 235, India
Abstract:Measure of uncertainty in past lifetime distribution plays an important role in the context of Information Theory, Forensic Science and other related fields. In this paper we provide characterizations of quite a few continuous and discrete distributions based on certain functional relationships among past entropy, reversed hazard rate and expected inactivity time. Based on past entropy, a conditional measure of uncertainty has been defined, which has helped in defining a new stochastic order and an ageing class. The properties of the stochastic order and those of the ageing class are also studied here.
Keywords:Ageing property  Inactivity time  Stochastic order
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