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

• Development and discussion of multivariate Lorenz orderings
• Historical and up-to-date coverage of families of Lorenz curves
• Coverage of multivariate inequality measures
• Detailed discussion of competing multivariate curves and indices

• Enhanced listing of the wide variety of areas in which the concepts have been applied

• Designed so instructors can select specific chapters or sections for use in special topics courses and short courses

• Includes end of chapter exercises

Development and discussion of multivariate Lorenz orderings Historical and up-to-date coverage of families of Lorenz curves Coverage of multivariate inequality measures Detailed discussion of competing multivariate curves and indices Enhanced listing of the wide variety of areas in which the concepts have been applied Designed so instructors can select specific chapters or sections for use in special topics courses and short courses Includes end of chapter exercises

Auteur
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, 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.
José María 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.

Contenu

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.