On asymptotic distributions of exceedance statistics

摘要

In this study, two independent samples X1,X2,…,Xn and Y1,Y2,…,Ym with respective distribution functions F and Q are considered. The joint asymptotic distributions of exceedance statistics defined as the number of Y observations falling into a random interval of order statistics constructed from the X sample is investigated. The results can be used in the context of a two-sample problem.