A STUDY OF ASYMPTOTIC DISTRIBUTIONS OF CONCOMITANTS OF CERTAIN ORDER STATISTICS

Abstract

Consider a random sample of size n from an absolutely continuous bi- variate distribution of (X,Y). Let Xi:n denote the ith order statistic of the X sample values and Y(i:n) its concomitant, the Y -value associated with Xi:n .I n this article we are interested in the asymptotic behavior of some functionals of con- comitants. Given two increasing integer sequences {rn,n ≥ 1} and {sn,n≥ 1}