A Probability Limit Theorem for {f(nx)}

被引：0

作者：

Erika Péter

机构：

[1] YBL Miklós Polytechnic,Laboratory of Informatics

来源：

Acta Mathematica Hungarica | 2000年 / 87卷

关键词：

Measurable Function; Early Result; Limit Theorem; Probability Limit; Iterate Logarithm;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove a law of the iterated logarithm for sums ∑k≦Nf(nkx) where f is a periodic measurable function and (nk) is a rapidly increasing sequence of integers. Our result applies also in the sub-Hadamard case and extends and improves earlier results in the field.

引用

页码：23 / 31

页数：8

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