Inequalities: Theory of Majorization and its Applications.

Barry C. Arnold, Albert W. Marshall, Ingram Olkin

Type: Article

Publication Date: 1981-06-01

Citations: 5247

DOI: https://doi.org/10.2307/2287859

Abstract

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.

Locations

Library Union Catalog of Bavaria, Berlin and Brandenburg (B3Kat Repository) - View - PDF
Journal of the American Statistical Association - View

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