Some results on dynamic discrimination measures of order ($\alpha$, $\beta$)

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Hacettepe Journal of Mathematics and Statistics
Volume:44 Issue:1
Some results on dynamic discrimination measures of order ($\alpha$, $\beta$)

Some results on dynamic discrimination measures of order ($\alpha$, $\beta$)

Authors : Suchandan KAYAL

Pages : 179-188

View : 28 | Download : 9

Publication Date : 2015-02-01

Article Type : Research Paper

Abstract :In this paper we propose two measures of discrimination of order insert ignore into journalissuearticles values($\alpha$, $\beta$); for residual and past lifetimes. Lower and upper bounds of the proposed measures are derived. Some bounds are obtained by considering weighted distributions and subsequently, examples are presented. Finally, characterization results of the proportional hazards and proportional reversed hazards models are given.
Keywords : Residual lifetimes, past lifetimes, hazard rate function, reversed hazard rate function, weighted distribution, proportional hazards model, proportional reversed hazards model

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