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In the paper by Liu and Lin (Statist. Probab. Lett. 76(2006), no. 16, 1787{1799), a new kind of precise asymptotics in the law of large numbers for the sequence of i.i.d. random variables, which includes complete convergence as a special case, was studied. This paper is devoted to the study of this new kind of precise asymptotics in the law of large numbers for moving average process under ϕ-mixing assumption and some results of Liu and Lin [6] are extended to such moving average process.
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참고문헌 (9)
참고문헌 신청
D. L. Li, M. B. Rao / 1992 / Complete convergence of moving average processes / Statist. Probab. Lett 14 (2) : 111 ~ 114
L. X. Zhang / 1996 / Complete convergence of moving average processes under dependence as- sumptions / Statist. Probab. Lett 30 (2) : 165 ~ 170
P. Billingsley / 1968 / Convergence of Probability Measures / Wiley
P. L. Hsu / 1947 / Complete convergence and the strong law of large numbers / Proc. Nat. Acad. Sci. U.S.A 33 : 25 ~ 31
Q. M. Shao / 1988 / A moment inequality and its application / Acta Math. Sinica 31 (6) : 736 ~ 747
L. X. Zhang / 1996 / Complete convergence of moving average processes under dependence as- sumptions / Statist. Probab. Lett 30 (2) : 165 ~ 170
P. Billingsley / 1968 / Convergence of Probability Measures / Wiley
P. L. Hsu / 1947 / Complete convergence and the strong law of large numbers / Proc. Nat. Acad. Sci. U.S.A 33 : 25 ~ 31
Q. M. Shao / 1988 / A moment inequality and its application / Acta Math. Sinica 31 (6) : 736 ~ 747
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