Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics

• Main Authors: Arnold, Barry C. (Author, http://id.loc.gov/vocabulary/relators/aut), Sarabia, Jose Maria (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Statistics for Social and Behavioral Sciences,
• Subjects: Statistics .; Applied mathematics.; Engineering mathematics.; Statistical Theory and Methods.; Statistics for Business, Management, Economics, Finance, Insurance.; Applications of Mathematics.

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 detail...

Table of Contents:

• 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.