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

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...

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Bibliographic Details
Main Author: Arnold, Barry C. (Author)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing, 2018.
Edition:1st ed. 2018.
Series:Statistics for Social and Behavioral Sciences,
Subjects:
Statistics .
Applied mathematics.
Engineering mathematics.
ISBN:9783319937731
ISSN:2199-7357
Online Access: Get full text
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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.

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