Multivariate Majorization

  • Albert W. Marshall
  • Ingram Olkin
  • Barry C. Arnold
Part of the Springer Series in Statistics book series (SSS)


The definition of the majorization x<y is motivated in Section 1.A 1 as a way of making precise the idea that the components of x are 2 “less spread out” than the components of y. This basic idea makes 3 sense whether the components of x and y are points on the real line or 4 points in a more general linear space.


Convex Cone Real Matrice Stochastic Matrix Permutation Matrice Stochastic Matrice 
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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Albert W. Marshall
    • 1
    • 2
  • Ingram Olkin
    • 3
  • Barry C. Arnold
    • 4
  1. 1.Department of StatisticsUniversity of British ColumbiaVancouverCanada
  2. 2.Lummi IslandUSA
  3. 3.Department of StatisticsStanford UniversityStanfordUSA
  4. 4.Department of StatisticsUniversity of CaliforniaRiversideUSA

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