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초록· 키워드
오류제보하기
Let {Y_(i),−∞ < i < ∞} be a doubly infinite sequence of i.i.d.
random variables with E|Y_(1)|<∞, {a_(ni),−∞ < i < ∞, n≥1} an array of
real numbers. Under some conditions on {a_(ni)}, we obtain necessary and
sufficient conditions for ∑_(n=1)^(∞)1/nP(│∑_(i=-∞)^(∞)a_(ni){Y_(i)-EY_(i)│＞ne)<∞.
We examine whether the result of Spitzer [11] holds for the moving average
process, and give a partial solution.
목차
등록된 정보가 없습니다.
참고문헌 (12)
참고문헌 신청
D. L. Li, M. B. Rao / 1992 / Complete convergence of moving average processes / Statist. Probab. Lett. 14 (2) : 111 ~ 114
F. L. Spitzer / 1956 / A combinatorial lemma and its application to probability theory / Trans. Amer. Math. Soc 82 : 323 ~ 339
I. A. Ibragimov / 1962 / Some limit theorems for stationary processes / Teor. Verojatnost. i Primenen 7 : 361 ~ 392
J.-I. Baek / 2003 / On the convergence of moving average processes under dependent conditions / Aust. N. Z. J. Stat 45 (3) : 331 ~ 342
L. E. Baum / 1965 / Convergence rates in the law of large numbers / Trans. Amer. Math. Soc 120 : 108 ~ 123
F. L. Spitzer / 1956 / A combinatorial lemma and its application to probability theory / Trans. Amer. Math. Soc 82 : 323 ~ 339
I. A. Ibragimov / 1962 / Some limit theorems for stationary processes / Teor. Verojatnost. i Primenen 7 : 361 ~ 392
J.-I. Baek / 2003 / On the convergence of moving average processes under dependent conditions / Aust. N. Z. J. Stat 45 (3) : 331 ~ 342
L. E. Baum / 1965 / Convergence rates in the law of large numbers / Trans. Amer. Math. Soc 120 : 108 ~ 123
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