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Transfer principles and a classification of concentration measures

โœ Scribed by Egghe, L. ;Rousseau, R.

Publisher
John Wiley and Sons
Year
1991
Tongue
English
Weight
953 KB
Volume
42
Category
Article
ISSN
0002-8231

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โœฆ Synopsis

in this article we show that the notion of concentration (or inequality) can best be studied by applying a number of transfer principles. We prove this by showing that transfer principles imply other natural concentration requirements such as the principle of nominal increase. We moreover exhibit a relation between Dalton's transfer principle and the Lorenz dominance order. We distinguish between simple and stronger transfer principles, leading to a classification of concentration measures. Finally, it is shown that the coefficient of variation and some measures derived from it are the "ultimate best" ones.

๐Ÿ“œ SIMILAR VOLUMES

Rational normalization of concentration
Rational normalization of concentration measures
โœ Bonckaert, P. ;Egghe, L. ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 735 KB

We study normalization features of good concentration measures. We extend the classical normalization to the case in which one requires a linear dependence between rational fractions of occupation and values of the concentration measure between 0 and 1. This is called "rational normalization." This