On Complete Convergence for Arrays of Rowwise ρ-Mixing Random Variables and Its Applications

被引：2

作者：

Zhou, Xing-cai ^{[1
,2
]}

Lin, Jin-guan ^{[1
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China

[2] Tongling Univ, Dept Math & Comp Sci, Tongling 244000, Anhui, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2010年

基金：

中国国家自然科学基金;

关键词：

CENTRAL-LIMIT-THEOREM; DEPENDENT RANDOM-VARIABLES; INVARIANCE-PRINCIPLES; SEQUENCES; SUMS;

D O I：

10.1155/2010/769201

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give out a general method to prove the complete convergence for arrays of rowwise rho-mixing random variables and to present some results on complete convergence under some suitable conditions. Some results generalize previous known results for rowwise independent random variables.

引用

页数：12

共 20 条

[1] RETRACTED: Convergence of Weighted Sums for Arrays of Negatively Dependent Random Variables and Its Applications (Retracted article. See vol. 18, pg. NP1, 2013) [J].

Baek, Jong-Il ;

Park, Sung-Tae .

JOURNAL OF THEORETICAL PROBABILITY, 2010, 23 (02) :362-377

[2] A CENTRAL LIMIT-THEOREM FOR STATIONARY RHO-MIXING SEQUENCES WITH INFINITE VARIANCE [J].

BRADLEY, RC .

ANNALS OF PROBABILITY, 1988, 16 (01) :313-332

[3]

Hu Tien-Chung, 2003, [Communications of the KMS, 대한수학회논문집], V18, P375

[4]

IBRAGIMOV IA, 1975, TEOR VER PRIM, V20, P134

[5]

Kolmogorov A. N., 1960, THEORY PROBABILITY I, V2, P222

[6] On complete convergence for arrays [J].

Kruglov, Victor M. ;

Volodin, Andrei I. ;

Hu, Tien-Chung .

STATISTICS & PROBABILITY LETTERS, 2006, 76 (15) :1631-1640

[7] On complete convergence for arrays of rowwise dependent random variables [J].

Kuczmaszewska, Anna .

STATISTICS & PROBABILITY LETTERS, 2007, 77 (11) :1050-1060

[8] On complete convergence for arrays of rowwrise negatively associated random variables [J].

Kuczmaszewska, Anna .

STATISTICS & PROBABILITY LETTERS, 2009, 79 (01) :116-124

[9] CONVERGENCE-RATES OF THE STRONG LAW FOR STATIONARY MIXING SEQUENCES [J].

PELIGRAD, M .

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1985, 70 (02) :307-314

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

PELIGRAD, M .

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

← 1 2 →