Journal of Inequalities and Applications 
Volume 2008 (2008), Article ID 386715, 9 pages
doi:10.1155/2008/386715
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

Recommended by Jewgeni Dshalalow

Abstract

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