The Monotonicity of Power Means Using Entropy

Authors
Shier, D. R.
Citation
R. Shier, D., The Monotonicity of Power Means Using Entropy, American statistician , 42(3), 1988, pp. 203-204
Journal title
American statistician → ACNP
ISSN journal
00031305
Volume
42
Issue
3
Year of publication
1988
Pages
203 - 204
Database
ACNP
SICI code
Abstract
The arithmetic-geometric-harmonic mean inequalities are special cases of a more general result concerning the monotonicity of power means.This note identifies a relationship with the entropy of a probabilistic system, and thereby provides an alternative and elementary derivation of this monotonicity result.