Residual entropy and its characterizations in terms of hazard function and mean residual life function

By Majid Asadi, N. Ebrahimi. 2000

78 citations recorded by the source corpus.

Subfields: Safety, Risk, Reliability and Quality, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/2e62241e15460924d91183534e5515d5107d7c92

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Citations in the corpus

The residual extropy of order statistics (2018, background): “As pointed out by Asadi and Ebrahimi (2000), if X is regarded as the lifetime of a newunit, thenH(X) is no longer useful for measuring the uncertainty about remaining lifetime of the unit.”
Some Characterization Results on Dynamic Cumulative Residual Tsallis Entropy (2015, methodology): “For the study of the properties and applications of CRE, we refer to Asadi and Ebrahimi [4], Asadi et al. [5], Rao [6], Drissi et al. [7], Gupta [8], Di Crescenzo and Longobardi [9], Navarro et al. [10], Gupta and Taneja [11], and Taneja and Kumar [12].”
Some results on residual entropy function (2004, methodology): “We also extend some recent results given by Nair and Rajesh (1998) and Asadi and Ebrahimi (2000) to characterize a distribution function from relationships between the residual entropy and the mean residual life or the failure rate, respectively.”
Some Characterizations Based on Entropy of Order Statistics and Record Values (2007, background): “Asadi and Ebrahimi (2000) characterized generalized Pareto distribution in terms of the residual entropy.”
Entropy-based measure of uncertainty in past lifetime distributions (2002, result): “According to Ebrahimi [5], the residual entropy at time t of a random lifetime X is defined as the differential entropy of [X | X > t] (as usual, [X | B] denotes a random variable whose distribution is identical to that of X conditional Received 30 July 2001; revision received 14 March 2002.”
Characterizations of Life Distributions Using Conditional Expectations of Doubly (Interval) Truncated Random Variables (2009, unknown): “It is well known that H t has much relevance in characterizing, ordering, and classifying life distributions according to the behavior of H t (see Asadi and Ebrahimi, 2000; Belzunce et al., 2004; Ebrahimi and Pellerey, 1995; Nair and Rajesh, 1998).”
On Weighted Residual and Past Entropies (2006, background): “Various result on H(t) have been the object of recent researches (see [1], [4], [10], [11], [12]).”