JACKKNIFING AND BOOTSTRAPPING GENERALIZED U-STATISTICS

摘要

Let {Xj}j=1n1 and {Yk}k=1n2 be independent samples from F1 and F2 respectively. {Xj} and {Yk} are assumed to be mutually independent. Let φ(x1, …, xm1;y1, …, ym2) be Borel measurable function which is symmetric in the elements within each of its two sets of arguments （x and y）. The following generalized U-statistic with kernel φ can be chosen as an unbiased estimator for Q =