A UNIFORM CENTRAL-LIMIT-THEOREM FOR NONUNIFORM PHI-MIXING RANDOM-FIELDS

被引：23

作者：

CHEN, DC

机构：

来源：

ANNALS OF PROBABILITY | 1991年 / 19卷 / 02期

关键词：

NONUNIFORM PHI-MIXING CONDITION; RANDOM FIELDS ON INTEGER LATTICE; PARTIAL-SUM PROCESS; BROWNIAN MOTION; METRIC ENTROPY; GIBBS FIELDS;

D O I：

10.1214/aop/1176990445

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：

A sufficient condition is given for a sequence of partial-sum set-indexed processes with nonuniform phi-mixing condition to converge to Brownian motion. The main result (Theorem 1.1) is an extension of the similar results of Goldie and Greenwood by weakening the phi-mixing condition. An application (Corollary 4.2) to certain Gibbs fields is given.

引用

页码：636 / 649

页数：14

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