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arXiv:0801.4221stat.ME

Majorization: Here, There and Everywhere

Barry C. Arnold

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Abstract

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.

arXiv comments
Published in at http://dx.doi.org/10.1214/0883423060000000097 the Statistical Science (http://www.imstat.org/sts/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Journal reference
Statistical Science 2007, Vol. 22, No. 3, 407-413
DOI
doi:10.1214/0883423060000000097
Subjects
stat.MEMethodology (Statistics)

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