ON THE BOOTSTRAP OF U-STATISTICS AND V-STATISTICS

被引：126

作者：

ARCONES, MA

GINE, E

机构：

[1] UNIV CONNECTICUT,DEPT MATH,STORRS,CT 06269

[2] CUNY,NEW YORK,NY 10021

来源：

ANNALS OF STATISTICS | 1992年 / 20卷 / 02期

关键词：

BOOTSTRAP; U-STATISTICS; VONMISES FUNCTIONALS;

D O I：

10.1214/aos/1176348650

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Bootstrap distributional limit theorems for U and V statistics are proved. They hold a.s., under weak moment conditions and without restrictions on the bootstrap sample size (as long as it tends to infinity), regardless of the degree of degeneracy of U and V. A testing procedure based on these results is outlined.

引用

页码：655 / 674

页数：20

共 17 条

[1] LAWS OF LARGE NUMBERS FOR BOOTSTRAPPED U-STATISTICS [J].