Faculty Publications

Some Results On Ordering Of Survival Functions Through Uncertainty

Document Type

Article

Keywords

Entropy, Hazard function, Life distribution, Mean residual life time function, Shannon's measure of information, Stochastic ordering

Journal/Book/Conference Title

Statistics and Probability Letters

Volume

29

Issue

2

First Page

167

Last Page

176

Abstract

A direct approach to measure uncertainty in the residual life time distribution has been initiated by Ebrahimi (1995) and explored further by Ebrahimi and Pellerey (1995). In this paper, some new properties of the proposed measure are derived and the impact of aging characteristics on the uncertainty of residual life studied. The results obtained help in establishing the uncertainty ordering between survival functions. Further, conditions for decreasing (increasing) uncertainty of residual life are also given.

Department

Department of Mathematics

Original Publication Date

8-30-1996

DOI of published version

10.1016/0167-7152(95)00170-0

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