A note on estimation of variance for rho-mixing sequences

被引:9
作者
Peligrad, M
Shao, QM
机构
[1] UNIV CINCINNATI, DEPT MATH SCI, CINCINNATI, OH 45221 USA
[2] NATL UNIV SINGAPORE, DEPT MATH, SINGAPORE 117548, SINGAPORE
关键词
central limit theorem; estimation of variance; partial sums; dependent random variables;
D O I
10.1016/0167-7152(95)00003-8
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 {X(n), n greater than or equal to 1} be a stationary rho-mixing sequence of random variables with EX(1) = mu, E\X(1)\(2+delta) < infinity for some 0 < delta less than or equal to 1, and VarS(n) --> infinity as n --> infinity. This note presents a class of estimators of VarS(n), without assuming any mixing rate.
引用
收藏
页码:141 / 145
页数:5
相关论文
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