Limiting behaviors of weighted sums for linearly negative quadrant dependent random variables

被引：14

作者：

Ko, Mi-Hwa ^{[1
]}

Ryu, Dae-Hee

Kim, Tae-Sung

机构：

[1] Won Kwang Univ, Dept Math, Iksan 570749, South Korea

[2] ChungWoon Univ, Dept Comp Sci, Chungnam 351701, South Korea

[3] Won Kwang Univ, Dept Math, Jeonbuk 570749, South Korea

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2007年 / 11卷 / 02期

关键词：

strong convergence; weighted sum; cesaro law of large numbers; central limit theorem; linearly negative quadrant dependent random variable;

D O I：

10.11650/twjm/1500404705

中图分类号：

O1 [数学];

学科分类号：

0701 [数学]; 070101 [基础数学];

摘要：

In this paper the strong convergence for weighted sums of linearly negative quadrant dependent(LNQD) arrays is discussed. The central limit theorem for weighted sums of LNQD variables and linear process based on LNQD variables is also considered. Finally the results on i.i.d. of Li et al. ([7]) in LNQD setting are obtained.

引用

页码：511 / 522

页数：12

共 12 条

[1]

Billingsley P., 1968, Convergence of probability measures

[2]

LIMITING BEHAVIOR OF WEIGHTED SUMS OF INDEPENDENT RANDOM-VARIABLES [J].