Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/776
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | EGGHE, Leo | - |
dc.date.accessioned | 2005-05-27T11:19:24Z | - |
dc.date.available | 2005-05-27T11:19:24Z | - |
dc.date.issued | 2002 | - |
dc.identifier.citation | MATHEMATICAL AND COMPUTER MODELLING, 35(9-10). p. 1149-1163 | - |
dc.identifier.issn | 0895-7177 | - |
dc.identifier.uri | http://hdl.handle.net/1942/776 | - |
dc.description.abstract | Lorenz curves were invented to model situations of inequality in real life and applied in econometrics (distribution of wealth or poverty), biometrics (distribution of species richness), and informetrics (distribution of literature over their producers). Different types of Lorenz curves are hereby found in the literature, and in each case a theory of good concentration measures is presented. The present paper unifies these approaches by presenting one general model of concentration measure that applies to all these cases. Riemann-Stieltjes integrals are hereby needed where the integrand is a convex function and the integrator a function that generalizes the inverse of the derivative of the Lorenz function, in case this function is not everywhere differentiable. Calling this general measure C we prove that, if we have two Lorenz functions f, g such that f < g, then C(f) < C(g). This general proof contains the many partial results that are proved before in the literature in the respective special cases. | - |
dc.format.extent | 473815 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Elsevier | - |
dc.subject.other | Lorenz curve; Concentration measure; Riemann-Stieltjes integral | - |
dc.title | Construction of concentration measures for General Lorenz curves using Riemann-Stieltjes integrals | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 1163 | - |
dc.identifier.issue | 9-10 | - |
dc.identifier.spage | 1149 | - |
dc.identifier.volume | 35 | - |
local.bibliographicCitation.jcat | A1 | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.doi | 10.1016/S0895-7177(02)00077-8 | - |
dc.identifier.isi | 000176302900018 | - |
item.validation | ecoom 2003 | - |
item.accessRights | Open Access | - |
item.fullcitation | EGGHE, Leo (2002) Construction of concentration measures for General Lorenz curves using Riemann-Stieltjes integrals. In: MATHEMATICAL AND COMPUTER MODELLING, 35(9-10). p. 1149-1163. | - |
item.fulltext | With Fulltext | - |
item.contributor | EGGHE, Leo | - |
crisitem.journal.issn | 0895-7177 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
construction.pdf | Peer-reviewed author version | 462.71 kB | Adobe PDF | View/Open |
construction 1.pdf | Published version | 707.06 kB | Adobe PDF | View/Open |
SCOPUSTM
Citations
18
checked on Sep 3, 2020
WEB OF SCIENCETM
Citations
21
checked on Aug 11, 2024
Page view(s)
56
checked on Sep 6, 2022
Download(s)
120
checked on Sep 6, 2022
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.