On an application of concomitants of order statistics |
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Authors: | Serkan Eryilmaz |
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Affiliation: | 1. Department of Industrial Engineering, Atilim University, Ankara, Turkeyserkan.eryilmaz@atilim.edu.tr |
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Abstract: | ABSTRACTLet (Xi, Yi), i = 1, …, n be a pair where the first coordinate Xi represents the lifetime of a component, and the second coordinate Yi denotes the utility of the component during its lifetime. Then the random variable Y[r: n] which is known to be the concomitant of the rth order statistic defines the utility of the component which has the rth smallest lifetime. In this paper, we present a dynamic analysis for an n component system under the above-mentioned concomitant setup. |
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Keywords: | Bivariate distribution Concomitant Order statistics. |
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