Concentration of the Ratio between the Geometric and Arithmetic Means

被引：12

作者：

Aldaz, J. M. ^{[1
]}

机构：

[1] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain

来源：

JOURNAL OF THEORETICAL PROBABILITY | 2010年 / 23卷 / 02期

关键词：

Concentration of measure; Arithmetic mean; Geometric mean;

D O I：

10.1007/s10959-009-0215-9

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 explore the concentration properties of the ratio between the geometric mean and the arithmetic mean, showing that for certain sequences of weights, one does obtain concentration around a value that depends on the sequence.

引用

页码：498 / 508

页数：11

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