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.