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The central limit theorem without the condition of independence
被引:0
|
作者
:
Szeidl L.
论文数:
0
引用数:
0
h-index:
0
机构:
Eötvös Loránd University, Budapest
Eötvös Loránd University, Budapest
Szeidl L.
[
1
]
Zolotarev V.M.
论文数:
0
引用数:
0
h-index:
0
机构:
Steklov Mathematical Institute, Vavilova, 42
Eötvös Loránd University, Budapest
Zolotarev V.M.
[
2
]
机构
:
[1]
Eötvös Loránd University, Budapest
[2]
Steklov Mathematical Institute, Vavilova, 42
来源
:
Journal of Mathematical Sciences
|
1998年
/ 91卷
/ 3期
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.
引用
收藏
页码:3002 / 3004
页数:2
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