The Mode, Median, and Mean Inequality

Authors
Groeneveld, Richard A. Meeden, Glen
Citation
A. Groeneveld, Richard et Meeden, Glen, The Mode, Median, and Mean Inequality, American statistician , 31(3), 1977, pp. 120-121
Journal title
American statistician → ACNP
ISSN journal
00031305
Volume
31
Issue
3
Year of publication
1977
Pages
120 - 121
Database
ACNP
SICI code
Abstract
An elementary method of proof of the mode, median, and mean inequality is given for skewed, unimodal distributions of continuous random variables.A proof of the inequality for the gamma, F, and beta random variables is sketched.