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Inequalities: Theory of Majorization and Its Applications

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

Part of the Springer Series in Statistics book series (SSS)

Table of contents

  1. Front Matter
    Pages i-xxviii
  2. Theory of Majorization

    1. Front Matter
      Pages 1-1
    2. Albert W. Marshall, Ingram Olkin, Barry C. Arnold
      Pages 3-28
    3. Albert W. Marshall, Ingram Olkin, Barry C. Arnold
      Pages 29-77
    4. Albert W. Marshall, Ingram Olkin, Barry C. Arnold
      Pages 79-154
    5. Albert W. Marshall, Ingram Olkin, Barry C. Arnold
      Pages 155-163
    6. Albert W. Marshall, Ingram Olkin, Barry C. Arnold
      Pages 165-202
    7. Albert W. Marshall, Ingram Olkin, Barry C. Arnold
      Pages 203-239
  3. Mathematical Applications

    1. Front Matter
      Pages 241-241
    2. Albert W. Marshall, Ingram Olkin, Barry C. Arnold
      Pages 243-267
    3. Albert W. Marshall, Ingram Olkin, Barry C. Arnold
      Pages 269-296
    4. Albert W. Marshall, Ingram Olkin, Barry C. Arnold
      Pages 297-365
    5. Albert W. Marshall, Ingram Olkin, Barry C. Arnold
      Pages 367-383
  4. Stochastic Applications

    1. Front Matter
      Pages 385-385
    2. Albert W. Marshall, Ingram Olkin, Barry C. Arnold
      Pages 387-440
    3. Albert W. Marshall, Ingram Olkin, Barry C. Arnold
      Pages 441-526
    4. Albert W. Marshall, Ingram Olkin, Barry C. Arnold
      Pages 527-574
  5. Generalizations

    1. Front Matter
      Pages 575-575
    2. Albert W. Marshall, Ingram Olkin, Barry C. Arnold
      Pages 577-609
    3. Albert W. Marshall, Ingram Olkin, Barry C. Arnold
      Pages 611-633
  6. Complementary Topics

    1. Front Matter
      Pages 635-635
    2. Albert W. Marshall, Ingram Olkin, Barry C. Arnold
      Pages 637-692
    3. Albert W. Marshall, Ingram Olkin, Barry C. Arnold
      Pages 693-756
    4. Albert W. Marshall, Ingram Olkin, Barry C. Arnold
      Pages 757-768
    5. Albert W. Marshall, Ingram Olkin, Barry C. Arnold
      Pages 769-782
    6. Albert W. Marshall, Ingram Olkin, Barry C. Arnold
      Pages 783-795
  7. Albert W. Marshall, Ingram Olkin, Barry C. Arnold
    Pages E1-E1
  8. Back Matter
    Pages 797-909

About this book

Introduction

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.

Authors and affiliations

  • Albert W. Marshall
    • 1
  • Ingram Olkin
    • 2
  • Barry C. Arnold
    • 3
  1. 1.Dept. StatisticsUniversity of British ColumbiaVancouverCanada
  2. 2.Dept. StatisticsStanford UniversityStanfordUSA
  3. 3.Dept. StatisticsUniversity of California, RiversideRiversideUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-68276-1
  • Copyright Information Springer Science+Business Media, LLC 2011
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-40087-7
  • Online ISBN 978-0-387-68276-1
  • Series Print ISSN 0172-7397
  • Series Online ISSN 2197-568X
  • Buy this book on publisher's site
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