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Inequalities: Theory of Majorization and Its Applications

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 re...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Marshall, Albert W. (Autor), Olkin, Ingram (Autor), Arnold, Barry C. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2011.
Edición:2nd ed. 2011.
Colección:Springer Series in Statistics,
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.