Inequalities: Theory of Majorization and Its Applications

Inequalities: Theory of Majorization and Its Applications

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This book’s first edition has been widely cited by researchers in diverse fields. The following are excerpts from reviews. “Inequalities: Theory of Majorization and its Applications” merits strong praise. It is innovative, coherent, well written and, most importantly, a pleasure to read. … This work...

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Bibliographic Details
Main Authors: Marshall, Albert W. (Author), Olkin, Ingram (Author), Arnold, Barry C. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2011.
Edition:Second.
Series:Springer Series in Statistics,
Subjects:
Statistics.
Statistical Theory and Methods.
Online Access:Full Text via HEAL-Link
Table of Contents:
  • Introduction
  • Doubly Stochastic Matrices
  • Schur-Convex Functions
  • Equivalent Conditions for Majorization
  • Preservation and Generation of Majorization
  • Rearrangements and Majorization
  • Combinatorial Analysis
  • Geometric Inequalities
  • Matrix Theory
  • Numerical Analysis
  • Stochastic Majorizations
  • Probabilistic, Statistical, and Other Applications
  • Additional Statistical Applications
  • Orderings Extending Majorization
  • Multivariate Majorization
  • Convex Functions and Some Classical Inequalities
  • Stochastic Ordering
  • Total Positivity
  • Matrix Factorizations, Compounds, Direct Products, and M-Matrices
  • Extremal Representations of Matrix Functions.

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