Advertisement

Equivalent Conditions for Majorization

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

Abstract

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.

Keywords

Convex Function Convex Hull Equivalent Condition Total Income Stochastic Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations