Exponential Dominance and Uncertainty for Weighted Residual Life Measures

Document Type

Article

Publication Date

4-2011

Publication Title

Probability in the Engineering and Informational Sciences

DOI

10.1017/S0269964810000380

ISSN

1469-8951

Abstract

In this article notions of exponential dominance and uncertainty for weighted and unweighted distributions are explored and used to compare values of the informational energy function and the differential entropy. Stochastic inequalities and bounds for cross-discrimination and uncertainty measures in weighted and unweighted residual life distribution functions and related reliability measures are presented. Moment-type inequalities for the comparisons of weighted and unweighted residual life distributions are also presented.

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