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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/780

Title: Symmetric and Asymmetric Theory of Relative Concentration and Applications
Authors: EGGHE, Leo
Issue Date: 2001
Publisher: Springer
Citation: Scientometrics, 52(2). p. 261-290
Abstract: Relative concentration theory studies the degree of inequality between two vectors (a1,...,aN) and (agr1,...,agrN). It extends concentration theory in the sense that, in the latter theory, one of the above vectors is (1/N,...,1/N) (N coordinates). When studying relative concentration one can consider the vectors (a1,...,aN) and (agr1,...,agrN) as interchangeable (equivalent) or not. In the former case this means that the relative concentration of (a1,...,aN) versus (agr1,...,agrN) is the same as the relative concentration of (agr1,...,agrN) versus (a1,...,aN). We deal here with a symmetric theory of relative concentration. In the other case one wants to consider (a1,...,aN) as having a different role as (agr1,...,agrN) and hence the results can be different when interchanging the vectors. This leads 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.
URI: http://hdl.handle.net/1942/780
DOI: 10.1023/A:1017967807504
ISI #: 000171745700018
ISSN: 0138-9130
Category: A1
Type: Journal Contribution
Validation: ecoom, 2002
Appears in Collections: Research publications

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