Volume 9, Number 1 (2010) | JIRSS 2010, 9(1): 65-83 | Back to browse issues page

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Mahmoudi M, Asadi M. On the Monotone Behavior of Time Dependent Entropy of Order alpha. JIRSS. 2010; 9 (1) :65-83
URL: http://jirss.irstat.ir/article-1-82-en.html

Abstract:   (5560 Views)
In this paper we study some monotone behavior of the residual (past) entropy of order . We prove that, under some relation between the hazard rates (reversed hazard rates) of two distributions functions F and G, when the residual (past) entropy of order of F is decreasing (increasing) then the residual (past) entropy of G is decreasing (increasing). Using this, several conclusions regarding monotone behavior of residual (past) entropy of order of (n−k+1)-out-of-n systems and record values are derived. Some results on the residual (past) entropy of order of equilibrium distributions are also obtained.
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Subject: 60: Probability theory and stochastic processes
Received: 2011/08/11 | Accepted: 2015/09/12

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