An Erdos-Renyi law for nonconventional sums

被引：1
|
作者：
Kifer, Yuri [1 ]
机构：
[1] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel
来源：
ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2015年 / 20卷
关键词：
laws of large numbers; large deviations; nonconventional setup; THEOREMS;
D O I：
10.1214/ECP.v20-4613
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We obtain the Erdos-Renyi type law of large numbers for "nonconventional" sums of the form S-n - Sigma(n)(m=1) F(X-m, X-2m, ...,X-lm) where X-1, X-2, ... is a sequence of i.i.d. random variables and F is a bounded Borel function. The proof relies on nonconventional large deviations obtained in [8].
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页码：1 / 8
页数：8
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