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

页码：498 / 508

页数：10

共 50 条

[1] Concentration of the Ratio between the Geometric and Arithmetic Means
Aldaz, J. M.
JOURNAL OF THEORETICAL PROBABILITY, 2010, 23 (02) : 498 - 508
[2] Arithmetic versus geometric: Means for environmental concentration data
Parkhurst, DF
ENVIRONMENTAL SCIENCE & TECHNOLOGY, 1998, 32 (03) : 92A - 98A
[3] On a Proof of the Inequality Between the Arithmetic and Geometric Means
Gencev, Marian
AMERICAN MATHEMATICAL MONTHLY, 2018, 125 (07): : 650 - 652
[4] Relations of inequality between arithmetic and geometric means
Petrovitch, M
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1916, 163 : 81 - 84
[5] COMPARISON OF DIFFERENCES BETWEEN ARITHMETIC AND GEOMETRIC MEANS
Aldaz, J. M.
TAMKANG JOURNAL OF MATHEMATICS, 2011, 42 (04): : 453 - 462
[6] Arithmetic means and geometric means
Reid, M
AMERICAN MATHEMATICAL MONTHLY, 2002, 109 (10): : 924 - 925
[7] ON THE RATIO OF THE ARITHMETIC AND GEOMETRIC MEANS OF THE PRIME NUMBERS AND THE NUMBER e
Hassani, Mehdi
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2013, 9 (06) : 1593 - 1603
[8] Sharp bounds for the difference between the arithmetic and geometric means
J. M. Aldaz
Archiv der Mathematik, 2012, 99 : 393 - 399
[9] Sharp bounds for the difference between the arithmetic and geometric means
Aldaz, J. M.
ARCHIV DER MATHEMATIK, 2012, 99 (04) : 393 - 399
[10] Optimal Inequalities between Harmonic, Geometric, Logarithmic, and Arithmetic-Geometric Means
Chu, Yu-Ming
Wang, Miao-Kun
JOURNAL OF APPLIED MATHEMATICS, 2011,

← 1 2 3 4 5 →