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http://hdl.handle.net/1942/750
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | EGGHE, Leo | - |
dc.contributor.author | ROUSSEAU, Ronald | - |
dc.date.accessioned | 2005-04-28T11:44:14Z | - |
dc.date.available | 2005-04-28T11:44:14Z | - |
dc.date.issued | 2006 | - |
dc.identifier.citation | MATHEMATICAL AND COMPUTER MODELLING, 44(7-8). p. 628-639 | - |
dc.identifier.issn | 0895-7177 | - |
dc.identifier.uri | http://hdl.handle.net/1942/750 | - |
dc.description.abstract | This paper extends the Lorenz theory, developed in [L. Egghe and R. Rousseau. Symmetric and asymmetric theory of relative concentration and applications. Scientometrics 52(2), 261-290, 2001], so that it can deal with comparing arrays of variable length. We show that in this case we need to divide the Lorenz curves by certain types of increasing functions of the array length N. We then prove that, in this theory, adding zeros to two arrays, increases their similarity, a property that is not satisfied by the Pearson correlation coefficient. Among the many good similarity measures, satisfying the developed Lorenz theory, we deduce the correlation coefficient of Spearman, hence showing that this measure can be used as a good measure of symmetric relative concentration (or similarity). | - |
dc.format.extent | 248055 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Elsevier | - |
dc.subject.other | Lorenz; Symmetric relative concentration; Similarity; Pearson correlation coefficient; Spearman correlation coefficient | - |
dc.title | Lorenz theory of symmetric relative concentration and similarity, incorporating variable array length | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 639 | - |
dc.identifier.issue | 7-8 | - |
dc.identifier.spage | 628 | - |
dc.identifier.volume | 44 | - |
local.bibliographicCitation.jcat | A1 | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.doi | 10.1016/j.mcm.2006.02.001 | - |
dc.identifier.isi | 000240086000004 | - |
item.fullcitation | EGGHE, Leo & ROUSSEAU, Ronald (2006) Lorenz theory of symmetric relative concentration and similarity, incorporating variable array length. In: MATHEMATICAL AND COMPUTER MODELLING, 44(7-8). p. 628-639. | - |
item.fulltext | With Fulltext | - |
item.validation | ecoom 2007 | - |
item.contributor | EGGHE, Leo | - |
item.contributor | ROUSSEAU, Ronald | - |
item.accessRights | Open Access | - |
crisitem.journal.issn | 0895-7177 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
lorenz 1.pdf Restricted Access | Published version | 247.95 kB | Adobe PDF | View/Open Request a copy |
lorenz 2.pdf | Peer-reviewed author version | 365.9 kB | Adobe PDF | View/Open |
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