帮助 关于我们

返回检索结果

Precise Asymptotics in the Law of the Iterated Logarithm of Moving-Average Processes

查看参考文献13篇

文摘 In this paper, we discuss the moving-average process Xk = ∑i=-∞ ^∞ ai+kεi, where {εi;-∞ 〈 i 〈 ∞} is a doubly infinite sequence of identically distributed ψ-mixing or negatively associated random variables with mean zeros and finite variances, {ai;-∞ 〈 i 〈 -∞) is an absolutely solutely summable sequence of real numbers.
来源 Acta Mathematica Sinica. English Series ,2006,22(1):143-156 【核心库】
DOI 10.1007/s10114-005-0542-4
关键词 Moving-average process ; ψ-mixing ; Negative association ; The law of the iterated logarithm
地址

1. Zhejiang University of Finance and Economics, Hangzhou, 310012  

2. Department of Mathematics, Zhejiang University, Hangzhou, 310028

语种 英文
ISSN 1439-8516
学科 数学
基金 国家自然科学基金
文献收藏号 CSCD:2674148

参考文献 共 13 共1页

1.  Burton R M. Large deviations for some weakly dependent random process. Statist Probab Lett,1990,9:397-401 CSCD被引 31    
2.  Yang X Y. The law of the iterated logarithm and stochastic index central limit theorem of B-valued stationary linear processes. Chinses Ann.Math.Series A,1996,17:703-714 CSCD被引 6    
3.  Li D L. Complete convergence of moving average processes. Statist Probab Lett,1992,14:111-114 CSCD被引 30    
4.  Zhang L X. Complete convergence of moving average processes under dependence assumptions. Statist Probab Lett,1996,30:165-170 CSCD被引 26    
5.  Gut A. Precise asymptotics in the law of the iterated logarithm. Ann Probab,2000,28:1870-1883 CSCD被引 44    
6.  Gut A. Precise asymptotics in the Baum-Katz and Davis laws of large numbers. Jour Math Anal Appl,2000,248:233-246 CSCD被引 53    
7.  邵启满. A moment inequality and its application. 数学学报,1988,31(6):736-747 CSCD被引 39    
8.  Shao Q M. Almost sure invariance principles for mixing sequences of random variables. Stochastic Processes Appl,1993,48:319-334 CSCD被引 23    
9.  Kim T S. A central limit theorem for stationary linear processes generated by linearly positivelyquadrant-dependent process. Statist Probab Lett,2001,51:299-305 CSCD被引 14    
10.  Zhang L X. Precise rates in the law of the iterated logarithm Manuscript,2001 CSCD被引 1    
11.  张立新. NA序列重对数律的几个极限定理. 数学学报,2004,47(3):541-552 CSCD被引 5    
12.  Su Chun. Science in China. Series A, Mathematics (in English),1997,40:172-182 CSCD被引 57    
13.  Billingsley P. Convergence of Probability Measures,1968 CSCD被引 87    
引证文献 14

1 周君兴 一类统计量的强大数律和重对数律的精确极限性质 数学年刊. A辑,2006,27(6):807-814
CSCD被引 0 次

2 Zhang Yong Precise Asymptotices in the Law of Large Numbers and the Law of Iterated Logarithm of Moving-Average Process Generated by ALNQD Sequences Northeastern Mathematical Journal,2007,23(6):549-562
CSCD被引 4

显示所有14篇文献

论文科学数据集
PlumX Metrics
相关文献

 作者相关
 关键词相关
 参考文献相关

版权所有 ©2008 中国科学院文献情报中心 制作维护:中国科学院文献情报中心
地址:北京中关村北四环西路33号 邮政编码:100190 联系电话:(010)82627496 E-mail:cscd@mail.las.ac.cn 京ICP备05002861号-4 | 京公网安备11010802043238号