Concentration of the Ratio between the Geometric and Arithmetic Means

被引：0
作者：
J. M. Aldaz
机构：
[1] Universidad Autónoma de Madrid,Departamento de Matemáticas
来源：
Journal of Theoretical Probability | 2010年 / 23卷
关键词：
Concentration of measure; Arithmetic mean; Geometric mean; 26D15; 60D05;
D O I：
暂无
中图分类号：
学科分类号：
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
收藏
页码：498 / 508
页数：10
相关论文
共 5 条
  • [1] Beauchemin M.(1996)The ratio of the arithmetic to the geometric mean: a first-order statistical test for multilook SAR image homogeneity IEEE Trans. Geosci. Remote Sens. 34 604-606
  • [2] Thomson K.P.B.(1976)The ratio of the geometric mean to the arithmetic mean for a random sample from a gamma distribution J. Am. Stat. Assoc. 71 480-487
  • [3] Edwards G.(2001)The ratio of the arithmetic to the geometric mean: A cross-entropy interpretation IEEE Trans. Geosci. Remote Sens. 39 188-189
  • [4] Glaser R.E.(undefined)undefined undefined undefined undefined-undefined
  • [5] Woodhouse I.H.(undefined)undefined undefined undefined undefined-undefined
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