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.
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页数：12
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