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 theLorenz 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.
