Additional Statistical Applications

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


Majorization has been used as a mathematical tool in a variety of statistical contexts. To illustrate these uses, several examples from diverse areas are given. These examples have been chosen in part be- cause the exposition of the statistical background is minimal, so that the main emphasis lies in the use of majorization. There are other ex- amples, not given here, where the statistical material is more involved and/or the majorization does not play as critical a role.


Power Function Lorenz Curve Multinomial Distribution Multivariate Normal Distribution Linear Estimator 


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