Equivalent Conditions for Majorization

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


In order to verify that x is majorized by y, the conditions of the definition might be directly checked, but it is sometimes more con-venient to check alternative conditions. The purpose of this chapter is to collect some such alternatives.


Convex Function Convex Hull Equivalent Condition Total Income Stochastic Matrix 
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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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