Open Access
August 2007 Majorization: Here, There and Everywhere
Barry C. Arnold
Statist. Sci. 22(3): 407-413 (August 2007). DOI: 10.1214/0883423060000000097


The appearance of Marshall and Olkin’s 1979 book on inequalities with special emphasis on majorization generated a surge of interest in potential applications of majorization and Schur convexity in a broad spectrum of fields. After 25 years this continues to be the case. The present article presents a sampling of the diverse areas in which majorization has been found to be useful in the past 25 years.


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Barry C. Arnold. "Majorization: Here, There and Everywhere." Statist. Sci. 22 (3) 407 - 413, August 2007.


Published: August 2007
First available in Project Euclid: 2 January 2008

zbMATH: 1246.01010
MathSciNet: MR2416816
Digital Object Identifier: 10.1214/0883423060000000097

Keywords: apportionment , catchability , covering , disease transmission , Inequalities‎ , paired comparisons , phase type , random graph , Schur convex , statistical mechanics , waiting time

Rights: Copyright © 2007 Institute of Mathematical Statistics

Vol.22 • No. 3 • August 2007
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