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Uni Köln > WiSo-Fakultät > Seminar für Wirtschafts- und Sozialstatistik > Institut > LS Mosler > Prof. Mosler > Publikationen
Publikationen von Univ.-Prof. Dr. Karl Mosler |
Abstract: Multidimensional indices and orders of diversity (Karl Mosler) |
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| This paper presents several indices to describe multivariate diversity and evenness. Multivariate generalizations of the Gini-Simpson index and the Rosenbluth index are proposed to measure diversity. A multivariate Gini ratio is also presented to measure evenness. These indices extend the usual univariate measures; they reflect not only the diversity of marginal distributions but also the dependence structure of abundance. The indices fulfill desirable measurement properties and are consistent with certain orderings of multivariate distributions. An order of concentration surfaces and a majorization order are also surveyed shortly. | ||||
Keywords: Concentration order, Gini-Simpson index, majorization, multivariate diversity and evenness indices. |
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