RETRACTED: Convergence of weighted sums for arrays of negatively dependent random variables and its applications (Retracted article. See vol. 143, pg. 1619, 2013)

被引：15

作者：

Baek, Jong-Il ^{[1
]}

Park, Sung-Tae ^{[2
,3
]}

机构：

[1] Wonkwang Univ, Inst Basic Nat Sci, Div Math & Informat Stat, Iksan 570749, South Korea

[2] Wonkwang Univ, Div Business, Iksan 570749, South Korea

[3] Wonkwang Univ, Business & Econ Res Inst, Iksan 570749, South Korea

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2010年 / 140卷 / 09期

关键词：

Complete convergence; Negatively dependent random variables; Linear processes; MOVING AVERAGE PROCESSES; DISTRIBUTED RANDOM-VARIABLES; CENTRAL-LIMIT-THEOREM; LARGE NUMBERS; STRONG LAW; SUMMABILITY METHODS; SURE CONVERGENCE; LARGE DEVIATIONS; RANDOM ELEMENTS; INEQUALITIES;

D O I：

10.1016/j.jspi.2010.02.021

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：

We discuss discuss the complete convergence of weighted sums for arrays of rowwise negatively dependent random variables (ND r.v.'s) to linear processes. As an application, we obtain the complete convergence of linear processes based on a ND r.v.'s which extends the result of Li et al. (1992), including the results of Baum and Katz (1965), from the i.i.d. case to a negatively dependent (ND) setting. We complement the results of Ahmed et al. (2002) and confirm their conjecture on linear processes in the ND case. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：2461 / 2469

页数：9

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