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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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Barry C. Arnold
University of California, Riverside
Albert W. Marshall
Cape Breton University
Ingram Olkin
Palo Alto University
Journal of the American Statistical Association
Stanford University
University of British Columbia
University of California, Riverside
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Arnold et al. (Mon,) studied this question.
synapsesocial.com/papers/6a0ef031aa1655e5fb230910 — DOI: https://doi.org/10.2307/2287859