Complete moment convergence of moving-average processes under END assumptions

被引:0
|
作者
Qu, Xiaoming [1 ]
机构
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang, Henan, Peoples R China
基金
中国国家自然科学基金;
关键词
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.
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页码:3446 / 3458
页数:13
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