A functional central limit theorem for negatively associated sequence

被引:0
作者
Lu C. [1 ]
机构
[1] Department of Mathematics, Hangzhou University, Hangzhou
关键词
Central limit theorem; Negatively associated; Weak convergence;
D O I
10.1007/s11766-997-0039-2
中图分类号
学科分类号
摘要
Let {Xi, j ≥ 1} be a sequence of negatively associated random variables with EXj = 0, EXj2 < ∞. In this paper a functional central limit theorem for negatively associated random variables under some conditions without stationarity is proved, which is the same as the résults for positively associated random variables. © 1997, Appl. Math. - JCU. All rights reserved.
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页码:375 / 380
页数:5
相关论文
共 6 条
[1]  
Birkel T., The invariance principle for associated processes, Stochastic Processes Appl, 27, pp. 57-71, (1988)
[2]  
Birkel T., A functional central limit theorem for positively dependent random variables, J. Multivariate Anal, 11, pp. 311-320, (1993)
[3]  
Lehmann E.L., Some concepts of dependence, Ann. Math. Stat, 37, pp. 1137-1153, (1966)
[4]  
Su C., Zhao L.C., Wang Y.B., Moment inequalities and weak convergence for negatively associated sequence, Sci. in China
[5]  
Withers C.S., Central limit theorems for dependent variables, Verzv Gebiete, 57, pp. 5091-5341, (1981)
[6]  
Yu H., Weak Convergence for Empirical and Quantile Processes of Associated Sequences with Applications to Reliability and Economics, (1993)