Authors

Citation

L. Egghe et R. Rousseau, Symmetric and asymmetric theory of relative concentration and applications, SCIENTOMETR, 52(2), 2001, pp. 261-290

Citations number

20

Language

INGLESE

art.tipo

Article

Categorie Soggetti

Library & Information Science

Journal title

SCIENTOMETRICS

ISSN journal

0138-9130
→ ACNP

Volume

52

Issue

2

Year of publication

2001

Pages

261 - 290

Database

ISI

SICI code

0138-9130(200110)52:2<261:SAATOR>2.0.ZU;2-P

Abstract

Relative concentration theory studies the degree of inequality between two
vectors (a(1),....,a(N)) and (alpha (1),....,alpha (N)). It extends concent
ration theory in the sense that, in the latter theory, one of the above vec
tors is (1/N,....,1/N) (N coordinates).
When studying relative concentration one can consider the vectors (a(1),...
.,a(N)) and (alpha (1),.....,alpha (N)) as interchangeable (equivalent) or
not. In the former case this means that the relative concentration of (a(1)
,....,a(N)) versus (alpha (1),....,alpha (N)) is the same as the relative c
oncentration of (alpha (1),.....,alpha (N)) versus (a(1),....,a(N)). We dea
l here with a symmetric theory of relative concentration. In the other case
one wants to consider (a(1),....,a(N)) as having a different role as and h
ence the results can be different when interchanging the vectors. This lead
s to an asymmetric theory of relative concentration.
In this paper we elaborate both models, As they extend concentration theory
, both models use the Lorenz order and Lorenz curves.
For each theory we present good measures of relative concentration and give
applications of each model.