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978-0-387-68276-1
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9780387682761
978-0-387-68276-1
10.1007/978-0-387-68276-1
doi
QA276-280
PBT
bicssc
MAT029000
bisacsh
519.5
23
Marshall, Albert W.
author.
Inequalities: Theory of Majorization and Its Applications
[electronic resource] /
by Albert W. Marshall, Ingram Olkin, Barry C. Arnold.
Second.
New York, NY :
Springer New York :
Imprint: Springer,
2011.
XXVIII, 909 p. 60 illus.
online resource.
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online resource
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Springer Series in Statistics,
0172-7397
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.
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 is a valuable resource!” (Mathematical Reviews). “The authors … present an extremely rich collection of inequalities in a remarkably coherent and unified approach. The book is a major work on inequalities, rich in content and original in organization.” (Siam Review). “The appearance of … Inequalities in 1979 had a great impact on the mathematical sciences. By showing how a single concept unified a staggering amount of material from widely diverse disciplines–probability, geometry, statistics, operations research, etc.–this work was a revelation to those of us who had been trying to make sense of his own corner of this material.” (Linear Algebra and its Applications). This greatly expanded new edition includes recent research on stochastic, multivariate and group majorization, Lorenz order, and applications in physics and chemistry, in economics and political science, in matrix inequalities, and in probability and statistics. The reference list has almost doubled.
Statistics.
Statistics.
Statistical Theory and Methods.
Olkin, Ingram.
author.
Arnold, Barry C.
author.
SpringerLink (Online service)
Springer eBooks
Printed edition:
9780387400877
Springer Series in Statistics,
0172-7397
http://dx.doi.org/10.1007/978-0-387-68276-1
ZDB-2-SMA
369555
369555
0
0
0
0
EBook
elib
elib
2018-01-15
2018-01-15
2018-01-15
EBOOK