On an Application of Concomitants of Order Statistics

Abstract

Let (X-i, Y-i), i = 1, ..., n be a pair where the first coordinate X-i represents the lifetime of a component, and the second coordinate Y-i 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.