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Statistics for Social and Behavioral Sciences

Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics

Authors: Arnold, Barry C., Sarabia, Jose Maria

  • Development and discussion of multivariate Lorenz orderings
  • Historical and up-to-date coverage of families of Lorenz curves
  • Coverage of multivariate inequality measures 
  • Detailed discussion of competing multivariate curves and indices
  • Enhanced listing of the wide variety of areas in which the concepts have been applied
  • Designed so instructors can select specific chapters or sections for use in special topics courses and short courses
  • Includes end of chapter exercises 
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eBook $84.99
price for Mexico (gross)
  • ISBN 978-3-319-93773-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for Mexico
  • ISBN 978-3-319-93772-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This book was written to serve as a graduate-level textbook for special topics classes in mathematics, statistics, and economics, to introduce these topics to other researchers, and for use in short courses. It is an introduction to the theory of majorization and related notions, and contains detailed material on economic applications of majorization and the Lorenz order, investigating the theoretical aspects of these two interrelated orderings. 
Revising and expanding on an earlier monograph, Majorization and the Lorenz Order: A Brief Introduction, the authors provide a straightforward development and explanation of majorization concepts, addressing historical development of the topics, and providing up-to-date coverage of families of Lorenz curves. The exposition of multivariate Lorenz orderings sets it apart from existing treatments of these topics.
Mathematicians, theoretical statisticians, economists, and other social scientists who already recognize the utility of the Lorenz order in income inequality contexts and arenas will find the book useful for its sound development of relevant concepts rigorously linked to both the majorization literature and the even more extensive body of research on economic applications. 
Barry C. Arnold, PhD, is Distinguished Professor in the Statistics Department at the University of California, Riverside. He is a Fellow of the American Statistical Society, the American Association for the Advancement of Science, and the Institute of Mathematical Statistics, and is an elected member of the International Statistical Institute. He is the author of more than two hundred publications and eight books.
José María Sarabia, PhD, is Professor of Statistics and Quantitative Methods in Business and Economics in the Department of Economics at the University of Cantabria, Spain. He is author of more than one hundred and fifty publications and ten books and is an associate editor of several journals including TESTCommunications in Statistics, and Journal of Statistical Distributions and Applications

About the authors

Barry C. Arnold, PhD, is Distinguished Professor in the Statistics Department at the University of California, Riverside. He is a Fellow of the American Statistical Society, the American Association for the Advancement of Science, the Institute of Mathematical Statistics and is an elected member of the International Statistical Institute. He is the author of more than two hundred publications and eight books.
José María Sarabia, PhD, is Professor of Statistics and Quantitative Methods in Business and Economics in the Department of Economics at the University of Cantabria, Spain. He is author of more than one hundred and fifty publications and ten books and is an associate editor of several journals including TEST, Communications in Statistics, and Journal of Statistical Distributions and Applications

Table of contents (12 chapters)

  • Introduction

    Arnold, Barry C. (et al.)

    Pages 1-8

  • Majorization in ℝ n + $$\mathbb {R}_n^+$$

    Arnold, Barry C. (et al.)

    Pages 9-22

  • The Lorenz Order in the Space of Distribution Functions

    Arnold, Barry C. (et al.)

    Pages 23-34

  • Transformations and Their Effects

    Arnold, Barry C. (et al.)

    Pages 35-43

  • Inequality Measures

    Arnold, Barry C. (et al.)

    Pages 45-114

Buy this book

eBook $84.99
price for Mexico (gross)
  • ISBN 978-3-319-93773-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for Mexico
  • ISBN 978-3-319-93772-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics
Authors
Series Title
Statistics for Social and Behavioral Sciences
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-93773-1
DOI
10.1007/978-3-319-93773-1
Hardcover ISBN
978-3-319-93772-4
Series ISSN
2199-7357
Edition Number
1
Number of Pages
XVII, 272
Number of Illustrations and Tables
7 b/w illustrations, 11 illustrations in colour
Topics