论文信息 - Entropy-based measure of uncertainty in past lifetime distributions

Entropy-based measure of uncertainty in past lifetime distributions

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.

Maria Longobardi | Antonio Di Crescenzo | A. Di Crescenzo | M. Longobardi

[1] Nader Ebrahimi,et al. Residual entropy and its characterizations in terms of hazard function and mean residual life function , 2000 .

[2] Claude E. Shannon,et al. The mathematical theory of communication , 1950 .

[3] Dilip Roy,et al. SOME RESULTS ON REVERSED HAZARD RATE , 2001, Probability in the Engineering and Informational Sciences.

[4] M. Shaked,et al. The Hazard Rate and the Reversed Hazard Rate Orders, with Applications to Order Statistics , 2001 .

[5] B. Oluyede. ON INEQUALITIES AND SELECTION OF EXPERIMENTS FOR LENGTH BIASED DISTRIBUTIONS , 1999, Probability in the Engineering and Informational Sciences.

[6] THE MAXIMUM ENTROPY METHOD FOR LIFETIME DISTRIBUTIONS , 2000 .

[7] Jorge Navarro,et al. Some results on residual entropy function , 2004 .

[8] THE UP REVERSED HAZARD RATE STOCHASTIC ORDER , 2001 .

[9] Harshinder Singh,et al. The Reversed Hazard Rate Function , 1998, Probability in the Engineering and Informational Sciences.

[10] Nader Ebrahimi,et al. Some results on ordering of survival functions through uncertainty , 1996 .

[11] Testing whether lifetime distribution is decreasing uncertainty , 1997 .

[12] Nader Ebrahimi,et al. New partial ordering of survival functions based on the notion of uncertainty , 1995, Journal of Applied Probability.