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Entropy-based measure of uncertainty in past lifetime distributions
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Journal Article
Entropy-based measure of uncertainty in past lifetime distributions
2002
Overview
As proposed by Ebrahimi, uncertainty in the residual lifetime distribution can be measured by means of the Shannon entropy. In this paper, we analyse a dual characterization of life distributions that is based on entropy applied to the past lifetime. Various aspects of this measure of uncertainty are considered, including its connection with the residual entropy, the relation between its increasing nature and the DRFR property, and the effect of monotonic transformations on it.
Publisher
Cambridge University Press,Applied Probability Trust
Subject
/ 90B25
/ Cumulative distribution functions
/ Entropy
/ Exact sciences and technology
/ Operational research and scientific management
/ Operational research. Management science
/ Reliability theory. Replacement problems
/ Reliability, life testing, quality control
/ Sciences and techniques of general use
/ Studies
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