Lp-convergence, complete convergence, and weak laws of large numbers for asymptotically negatively associated random vectors with values in Rd

被引：0

作者：

Ko, Mi-Hwa ^{[1
]}

机构：

[1] Wonkwang Univ, Div Math & Informat Stat, Jeonbuk, South Korea

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年

关键词：

Asymptotically negative association; Random vectors; Rosenthal-type inequality; L-p-convergence; Complete convergence; Weak laws of large numbers; DEPENDENT RANDOM-VARIABLES; ITERATED LOGARITHM; RANDOM-FIELDS; THEOREMS;

D O I：

10.1186/s13660-018-1699-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, based on the Rosenthal-type inequality for asymptotically negatively associated random vectors with values in R-d, we establish results on L-p-convergence and complete convergence of the maximums of partial sums are established. We also obtain weak laws of large numbers for coordinatewise asymptotically negatively associated random vectors with values in R-d.

引用

页数：12

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