The central limit theorem without the condition of independence

被引:0
|
作者
Szeidl L. [1 ]
Zolotarev V.M. [2 ]
机构
[1] Eötvös Loránd University, Budapest
[2] Steklov Mathematical Institute, Vavilova, 42
关键词
Characteristic Function; Limit Theorem; Random Vector; Central Limit Theorem; Independent Random Variable;
D O I
10.1007/BF02432872
中图分类号
学科分类号
摘要
Necessary and sufficient conditions are presented for sums of asymptotically independent random variables to converge to a normal random variable in the sense of total variation distance, uniform metric for characteristic functions, and mean metric of order q. ©1998 Plenum Publishing Corporation.
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页码:3002 / 3004
页数:2
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