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Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics (Hardcover, 1st ed. 2018)
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Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics (Hardcover, 1st ed. 2018)
Series: Statistics for Social and Behavioral Sciences
Expected to ship within 10 - 15 working days
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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.
Jose Maria 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.
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