Journal of Applied Probability

Entropy-based measure of uncertainty in past lifetime distributions

Antonio Di Crescenzo and Maria Longobardi

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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.

Article information

J. Appl. Probab. Volume 39, Number 2 (2002), 434-440.

First available in Project Euclid: 26 June 2002

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 62N05: Reliability and life testing [See also 90B25]
Secondary: 90B25: Reliability, availability, maintenance, inspection [See also 60K10, 62N05]

Residual lifetime reversed hazard function DRFR property monotonic transformation


Di Crescenzo, Antonio; Longobardi, Maria. Entropy-based measure of uncertainty in past lifetime distributions. J. Appl. Probab. 39 (2002), no. 2, 434--440. doi:10.1239/jap/1025131441.

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