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Precise Asymptotics in the Law of the Iterated Logarithm of Moving-Average Processes 被引量:15

Precise Asymptotics in the Law of the Iterated Logarithm of Moving-Average Processes
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摘要 In this paper, we discuss the moving-average process Xk = ∑i=-∞ ^∞ ai+kεi, where {εi;-∞ 〈 i 〈 ∞} is a doubly infinite sequence of identically distributed ψ-mixing or negatively associated random variables with mean zeros and finite variances, {ai;-∞ 〈 i 〈 -∞) is an absolutely solutely summable sequence of real numbers. In this paper, we discuss the moving-average process Xk = ∑i=-∞ ^∞ ai+kεi, where {εi;-∞ 〈 i 〈 ∞} is a doubly infinite sequence of identically distributed ψ-mixing or negatively associated random variables with mean zeros and finite variances, {ai;-∞ 〈 i 〈 -∞) is an absolutely solutely summable sequence of real numbers.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第1期143-156,共14页 数学学报(英文版)
基金 Research supported by National Natural Science Foundation of China
关键词 Moving-average process Ψ-MIXING Negative association The law of the iterated logarithm Moving-average process, ψ-mixing, Negative association, The law of the iterated logarithm
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