The central limit theorem for stationary associated sequences

被引：0
作者：
S. Louhichi
Ph. Soulier
机构：
[1] Université de Paris-Sud,Laboratoire de Probabilités Statistique et Modélisation
[2] Université D"evry Val d"Essonne,Département de Mathématiques
来源：
Acta Mathematica Hungarica | 2002年 / 97卷
关键词：
associated sequences; central limit theorem; infinite variance; stable limit theorem; characteristic function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the problem of convergence in distribution of a suitably normalized sum of stationary associated random variables. We focus on the infinite variance case. New results are announced.
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页码：15 / 36
页数：21
相关论文
共 29 条
[1]  
Baum L. E.(1965)Convergence rates in the law of large numbers Trans. Amer. Math. Soc. 120 108-123
[2]  
Katz M.(1998)Limit theorems for mixing sequences without rate assumptions Ann. Probab. 26 805-831
[3]  
Berkes I.(1988)A central limit theorem for stationary Ann. Probab. 16 313-332
[4]  
Philipp W.(1984)-mixing sequences with infinite variance Ann. Probab. 12 514-528
[5]  
Bradley R. C.(1994)Central limit theorems for associated random variables and the percolation models Ann. Probab. 22 1-16
[6]  
Cox J. T.(1985)Stable limits for associated random variables Stochas. Processes Appl. 20 257-279
[7]  
Grimmett G.(1986)More limit theory for the sample correlation function of moving averages Ann. Probab. 14 1359-1370
[8]  
Dabrowski A. R.(1967)Central limit theorems for mixing sequences of random variables under minimal conditions Ann. Math. Statist. 38 1466-1476
[9]  
Jakubowski A.(1984)Association of random variables with applications Ann. Probab. 12 912-917
[10]  
Davis R.(1994)An example on the central limit theorem for associated sequences Stat. Probab. Letters 19 321-326
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