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EXPONENTIAL DOMINANCE AND UNCERTAINTY FOR WEIGHTED RESIDUAL LIFE MEASURES

Published online by Cambridge University Press:  31 March 2011

Broderick O. Oluyede
Broderick O. Oluyede
Affiliation:
Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA 30460 E-mail: Boluyede@GeorgiaSouthern.edu
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Abstract

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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.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 25 , Issue 2 , April 2011 , pp. 251 - 263
Copyright
Copyright © Cambridge University Press 2011

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