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Entropy-Based Measure of Uncertainty in past Lifetime Distributions

Antonio Di Crescenzo and Maria Longobardi
Journal of Applied Probability
Vol. 39, No. 2 (Jun., 2002), pp. 434-440
Stable URL: http://www.jstor.org/stable/3216111
Page Count: 7
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Entropy-Based Measure of Uncertainty in past Lifetime Distributions
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Abstract

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.

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