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

Autorentext

Carlos A. Coelho is a Full Professor at the Mathematics Department of Nova University of Lisbon, Portugal. He obtained his Ph.D. in Biostatistics from the University of Michigan, USA. An Elected Member of the International Statistical Institute, he is primarily pursuing research in the fields of mathematical statistics and distribution theory, e.g. exact and near-exact distributions for likelihood ratio statistics used in multivariate analysis. Barry C. Arnold is a Distinguished Professor in the Department of Statistics at the University of California, Riverside, USA. He holds a Ph.D. in Statistics from Stanford University. He is a Fellow of both the American Statistical Association and the Institute of Mathematical Statistics and a former Elected Member of the International Statistical Institute. His research interests include multivariate models, inequality measurement and ordered data.

Zusammenfassung

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

Inhalt

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.