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Inequalities: Theory of Majorization and Its Applications

Albert W. Marshall, Ingram Olkin, and Barry C. Arnold
Publisher: 
Springer
Publication Date: 
2009
Number of Pages: 
24
Format: 
Hardcover
Edition: 
2
Series: 
Springer Series in Statistics
Price: 
89.95
ISBN: 
978-0387400877
Category: 
General
BLL Rating: 

The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

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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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