THE LAW OF THE ITERATED LOGARITHM FOR U-PROCESSES

被引：12

作者：

ARCONES, MA

机构：

来源：

JOURNAL OF MULTIVARIATE ANALYSIS | 1993年 / 47卷 / 01期

关键词：

LAW OF THE ITERATED LOGARITHM; U-STATISTICS; EMPIRICAL PROCESSES; M-ESTIMATORS;

D O I：

10.1006/jmva.1993.1075

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：

Sufficient conditions for the law of the iterated logarithm for non-degenerate U-processes are presented. The law of the iterated logarithm for V-C subgraph classes of functions is obtained under second moment of the envelope. A bracketing condition for the law of the iterated logarithm for U-processes is presented. Applications to the law of the iterated logarithm of U-statistics with estimated parameters and M-estimators are mentioned. © 1993 Academic Press Inc.

引用

页码：139 / 151

页数：13

共 10 条

[1] THE LAW OF THE ITERATED LOGARITHM FOR EMPIRICAL PROCESSES ON VAPNIK-CERVONENKIS CLASSES [J].