Almost sure functional limit theorems - Part II. The case of independent random variables

被引：4
|
作者：
Major, P
机构：
[1] Mta Renyi Alfred, H-1364 Budapest, Hungary
[2] Eotvos Lorand Univ, H-1145 Budapest, Hungary
来源：
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2000年 / 36卷 / 1-2期
关键词：
almost sure invariance principle; central limit theorem; stable laws;
D O I：
10.1556/SScMath.36.2000.1-2.16
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the first part of this paper we formulated and proved the almost sure functional limit theorem under general conditions. In this paper we prove with its help that the usual conditions of limit theorems for the distribution of appropriately normalized sums of independent random variables are also sufficient for the almost sure functional limit theorem for these independent random variables.
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页码：231 / 273
页数：43
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