Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 386715, 9 pages
Research Article

Some Equivalent Forms of the Arithematic-Geometric Mean Inequality in Probability: A Survey

Cheh-Chih Yeh,1 Hung-Wen Yeh,2 and Wenyaw Chan3

1Department of Information Management, Lunghwa University of Science and Technology, Kueishan Taoyuan, Taoyuan County 33306, Taiwan
2Department of Biostatistics, University of Kansas, Kansas City, KS 66160, USA
3Division of Biostatistics, University of Texas-Health Science Center at Houston, Houston, TX 77030, USA

Received 5 December 2007; Revised 10 April 2008; Accepted 24 June 2008

Academic Editor: Jewgeni Dshalalow

Copyright © 2008 Cheh-Chih Yeh et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We link some equivalent forms of the arithmetic-geometric mean inequality in probability and mathematical statistics.