Complete moment convergence of moving-average processes under END assumptions
被引:0
|
作者:
Qu, Xiaoming
论文数: 0引用数: 0
h-index: 0
机构:
Henan Normal Univ, Coll Math & Informat Sci, Xinxiang, Henan, Peoples R ChinaHenan Normal Univ, Coll Math & Informat Sci, Xinxiang, Henan, Peoples R China
Qu, Xiaoming
[1
]
机构:
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang, Henan, Peoples R China
Moving-average process;
complete moment convergence;
extended negatively dependent;
LARGE DEVIATIONS;
RANDOM-VARIABLES;
ARRAYS;
SUMS;
D O I:
10.1080/03610926.2020.1767138
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:
Let {Y-i; -infinity < i < infinity} be a doubly infinite sequence of identically distributed and extended negatively dependent random variables with zero means and finite variance and {a(i); -infinity < i < infinity} be an absolutely summable sequence of real numbers. In this paper, we prove the complete moment convergence of the moving-average process X-k = Sigma(infinity)(i=-infinity) a(i+k)Y(i), and extend to the m-extended negatively dependent case.
机构:
Tongling Univ, Sch Math & Comp, Tongling 244000, Anhui, Peoples R China
Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R ChinaTongling Univ, Sch Math & Comp, Tongling 244000, Anhui, Peoples R China
Zhou, Xing-Cai
Lin, Jin-Guan
论文数: 0引用数: 0
h-index: 0
机构:
Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R ChinaTongling Univ, Sch Math & Comp, Tongling 244000, Anhui, Peoples R China