Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics. 1st ed. 2018

種類:

電子ブック

責任表示:

by Barry C. Arnold, Jose Maria Sarabia

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2018

著者名:

• Arnold, Barry C.
• Sarabia, Jose Maria.
• SpringerLink (Online service)

シリーズ名:

Statistics for Social and Behavioral Sciences ;

ISBN:

9783319937731 [3319937731]    

注記:

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 co

ローカル注記:

学内専用E-BOOKS (local access only)