Concentration of the ratio between the geometric and arithmetic means

DOI10.1007/s10959-009-0215-9zbMath1190.26037arXiv0807.4832OpenAlexW2160512492MaRDI QIDQ975328

Jésus M. Aldaz

Publication date: 9 June 2010

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.4832

zbMATH Keywords

arithmetic meangeometric meanconcentration of measure

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Inequalities for sums, series and integrals (26D15) Means (26E60)

Related Items (7)

A monotonicity property of variances ⋮ Sharp bounds for the difference between the arithmetic and geometric means ⋮ Another note on the inequality between geometric and p‐generalized arithmetic mean ⋮ Hölder's inequality and its reverse—A probabilistic point of view ⋮ Refinements of Jessen's functional ⋮ Yet another note on the arithmetic-geometric mean inequality ⋮ Power series inequalities related to Young's inequality and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The special functions and their approximations. Vol. I, II
• The Ratio of the Geometric Mean to the Arithmetic Mean for a Random Sample from a Gamma Distribution

This page was built for publication: Concentration of the ratio between the geometric and arithmetic means