Majorization and the Lorenz order: Theory and applications
Project funded by own resources
Project title Majorization and the Lorenz order: Theory and applications
Principal Investigator(s) Kleiber, Christian
Organisation / Research unit Departement Wirtschaftswissenschaften / Ökonometrie und Statistik (Kleiber)
Project start 01.10.2007
Probable end 31.12.2025
Status Active
Abstract

The partial order of majorization is omnipresent in applied mathematics, statistics and various fields of application. It suggests comparing two given vectors, for example representing the incomes of two populations, by comparing the partial sums of their ordered entries. A slight generalization, the Lorenz order, also figures prominently in inequality measurement, where the Lorenz curve is used for visualizing and ranking income distributions. This project investigates various applications of majorization and the Lorenz order, among them inequality measurement and related problems in economics, Condorcet jury theorems in political science, statistical distribution theory, inequalities for special functions, and possibly even problems in the hard sciences.

Keywords Majorization, Lorenz order, stochastic orders, inequalities, economic inequality
Financed by University funds

Published results ()

  ID Autor(en) Titel ISSN / ISBN Erschienen in Art der Publikation
103110  Kleiber, Christian  The Lorenz curve in economics and econometrics  978-0-415-44337-1 (hbk.) ; 978-0-203-92792-2 (ebk)  Advances on income inequality and concentration measures  Publication: Book Item (Buchkap., Lexikonartikel, jur. Kommentierung, Beiträge in Sammelbänden etc.) 

Cooperations ()

  ID Kreditinhaber Kooperationspartner Institution Laufzeit - von Laufzeit - bis
929276  Kleiber, Christian  Zitikis, Ricardas, Professor  University of Western Ontario  01.01.2010  31.12.2020 
   

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