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Majorization and the Lorenz order with applications in applied mathematics and economics

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Majorization and the Lorenz order with applications in applied mathematics and economics/ by Barry C. Arnold, Jose Maria Sarabia.
Author:	Arnold, Barry C.
other author:	Sarabia, Jose Maria.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xvii, 272 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Lorenz equations. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-93773-1
ISBN:	9783319937731

Majorization and the Lorenz order with applications in applied mathematics and economics
Arnold, Barry C.

Majorization and the Lorenz order with applications in applied mathematics and economics[electronic resource] /by Barry C. Arnold, Jose Maria Sarabia. - Cham :Springer International Publishing :2018. - xvii, 272 p. :ill. (some col.), digital ;24 cm. - Statistics for social and behavioral sciences,2199-7357. - Statistics for social and behavioral sciences..

Chapter 1: Introduction -- Chapter 2: Majorization In R -- Chapter 3: The Lorenz Order In The Space Of Distributions -- Chapter 4: Transformations And Their Effects -- Chapter 5: Inequality Indices -- Chapter 6: Families Of Lorenz Curves -- Chapter 7: Estimation Of Economic Inequality And Poverty From The Lorenz Curve -- Chapter 8: Multivariate And Stochastic Majorization -- Chapter 9: Some Related Orderings -- Chapter 10: Comparison And Ordering In Families Of Income Distributions -- Chapter 11: Some Applications -- Chapter 12: More Applications.

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.

ISBN: 9783319937731

Standard No.: 10.1007/978-3-319-93773-1doiSubjects--Topical Terms:

784933
Lorenz equations.

LC Class. No.: QA372 / .A766 2018

Dewey Class. No.: 515.35

Majorization and the Lorenz order with applications in applied mathematics and economics
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505 0 $a Chapter 1: Introduction -- Chapter 2: Majorization In R -- Chapter 3: The Lorenz Order In The Space Of Distributions -- Chapter 4: Transformations And Their Effects -- Chapter 5: Inequality Indices -- Chapter 6: Families Of Lorenz Curves -- Chapter 7: Estimation Of Economic Inequality And Poverty From The Lorenz Curve -- Chapter 8: Multivariate And Stochastic Majorization -- Chapter 9: Some Related Orderings -- Chapter 10: Comparison And Ordering In Families Of Income Distributions -- Chapter 11: Some Applications -- Chapter 12: More Applications.
520 $a 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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