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Springer Series in Statistics

Inequalities: Theory of Majorization and Its Applications

Authors: Marshall, Albert W., Olkin, Ingram, Arnold, Barry

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About this book

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.

About the authors

Albert W. Marshall is Professor Emeritus of Statistics at the University of British Columbia. His fundamental contributions to reliability theory have had a profound effect in furthering its development.

Ingram Olkin is Professor Emeritus of Statistics at Stanford University. He has made fundamental contributions in multivariate analysis, and in the development of statistical methods in meta-analysis, which have resulted in its use in many applications.

Barry C. Arnold is Distinguished Professor of Statistics at the University of California, Riverside. His previous books deal with Pareto Distributions, Order Statistics, Record Values, Conditionally Specified Distributions, and the Lorenz Order.

Reviews

From the reviews of the second edition:

“The second edition of the praised classic without whom I know that some people never leave home … . attempts to bring these uses to the fore so that the reader can see the extent and variation in its use. The chapters of the original version remain intact … . The bibliography has increased by over 50%. … Needless to say, the revised volume obviously continues as a celebrated classic.” (Simo Puntanen, International Statistical Review, Vol. 79 (2), 2011)

Table of contents (21 chapters)

  • Introduction

    Marshall, Albert W. (et al.)

    Pages 3-28

  • Doubly Stochastic Matrices

    Marshall, Albert W. (et al.)

    Pages 29-77

  • Schur-Convex Functions

    Marshall, Albert W. (et al.)

    Pages 79-154

  • Equivalent Conditions for Majorization

    Marshall, Albert W. (et al.)

    Pages 155-163

  • Preservation and Generation of Majorization

    Marshall, Albert W. (et al.)

    Pages 165-202

Buy this book

eBook $109.00
price for USA
  • ISBN 978-0-387-68276-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Download immediately after purchase
Hardcover $149.00
price for USA
  • ISBN 978-0-387-40087-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Inequalities: Theory of Majorization and Its Applications
Authors
Series Title
Springer Series in Statistics
Copyright
2011
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-0-387-68276-1
DOI
10.1007/978-0-387-68276-1
Hardcover ISBN
978-0-387-40087-7
Series ISSN
0172-7397
Edition Number
2
Number of Pages
XXVII, 909
Topics