Journal of Applied Probability

Entropy-based measure of uncertainty in past lifetime distributions

Antonio Di Crescenzo and Maria Longobardi

Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

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.

Article information

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

Dates
First available in Project Euclid: 26 June 2002

Permanent link to this document
http://projecteuclid.org/euclid.jap/1025131441

Digital Object Identifier
doi:10.1239/jap/1025131441

Mathematical Reviews number (MathSciNet)
MR1908960

Zentralblatt MATH identifier
1003.62087

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

Keywords
Residual lifetime reversed hazard function DRFR property monotonic transformation

Citation

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. http://projecteuclid.org/euclid.jap/1025131441.


Export citation