Authors:
- 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
Part of the book series: Statistics for Social and Behavioral Sciences (SSBS)
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Table of contents (12 chapters)
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Front Matter
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Back Matter
About this book
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 TEST, Communications in Statistics, and Journal of Statistical Distributions and Applications.
Authors and Affiliations
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Department of Statistics, University of California, Riverside, USA
Barry C. Arnold
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Department of Economics, University of Cantabria, Santander, Spain
José María Sarabia
About the authors
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.
Bibliographic Information
Book Title: Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics
Authors: Barry C. Arnold, José María Sarabia
Series Title: Statistics for Social and Behavioral Sciences
DOI: https://doi.org/10.1007/978-3-319-93773-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-93772-4Published: 11 August 2018
Softcover ISBN: 978-3-030-06720-5Published: 20 December 2018
eBook ISBN: 978-3-319-93773-1Published: 27 July 2018
Series ISSN: 2199-7357
Series E-ISSN: 2199-7365
Edition Number: 1
Number of Pages: XVII, 272
Number of Illustrations: 7 b/w illustrations, 11 illustrations in colour
Topics: Statistical Theory and Methods, Statistics for Business, Management, Economics, Finance, Insurance, Applications of Mathematics