MAXIMAL INEQUALITIES FOR PARTIAL-SUMS OF RHO-MIXING SEQUENCES

被引：103

作者：

SHAO, QM

机构：

来源：

ANNALS OF PROBABILITY | 1995年 / 23卷 / 02期

关键词：

MAXIMAL INEQUALITY; MOMENT INEQUALITY; PROBABILITY INEQUALITY; PARTIAL SUMS; RHO-MIXING;

D O I：

10.1214/aop/1176988297

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 Rosenthal-type inequality for maximum partial sums of rho-mixing sequences is obtained. Applications to the complete convergence and almost sure summability of partial sums are also discussed.

引用

页码：948 / 965

页数：18

共 16 条

[1] CONVERGENCE RATES IN LAW OF LARGE NUMBERS [J].

BAUM, LE ;

KATZ, M .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 120 (01) :108-&

[2] MULTILINEAR FORMS AND MEASURES OF DEPENDENCE BETWEEN RANDOM-VARIABLES [J].

BRADLEY, RC ;

BRYC, W .

JOURNAL OF MULTIVARIATE ANALYSIS, 1985, 16 (03) :335-367

[3]

CSORGO M, 1991, STOCHASTIC PROCESS A, V45, P283

[4]

CSORGO M, 1961, LABORATORY RES STATI, V168

[5]

HALL P, 1980, MARTINGALE LIMIT THE

[6] COMPLETE CONVERGENCE AND THE LAW OF LARGE NUMBERS [J].

HSU, PL ;

ROBBINS, H .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1947, 33 (02) :25-31

[7]

KOLMOGOROV A. N., 1960, THEOR PROBAB APPL+, V5, P204, DOI [10.1137/1105018, DOI 10.1137/1105018]

[8]

MORICZ F, 1982, ACTA SCI MATH, V44, P67

[9] ON THE CENTRAL-LIMIT-THEOREM FOR RHO-MIXING SEQUENCES OF RANDOM-VARIABLES [J].

PELIGRAD, M .

ANNALS OF PROBABILITY, 1987, 15 (04) :1387-1394

[10]

Peligrad M, 1989, ALMOST EVERYWHERE CO, P335

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