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Ranking Distributions of an Ordinal Attribute

Abstract : This paper establishes an equivalence between three incomplete rank-ings of distributions of an ordinally measurable attribute. The first rank-ing is that associated with the possibility of going from distribution to the other by a finite sequence of two elementary operations: increments of the attribute and the so-called Hammond transfer. The later transfer is like the Pigou-Dalton transfer, but without the requirement -that would be senseless in an ordinal setting -that the "amount" transferred from the "rich" to the "poor" is fixed. The second ranking is an easy-to-use statistical criterion associated to a specifically weighted recursion on the cumulative density of the distribution function. The third ranking is that resulting from the comparison of numerical values assigned to distribu-tions by a large class of additively separable social evaluation functions. Illustrations of the criteria are also provided.
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Preprints, Working Papers, ...
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Contributor : Charles Lai Tong Connect in order to contact the contributor
Submitted on : Friday, November 14, 2014 - 5:44:56 PM
Last modification on : Friday, August 5, 2022 - 10:35:09 AM
Long-term archiving on: : Friday, April 14, 2017 - 2:15:53 PM


WP 2014 - Nr 50.pdf
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  • HAL Id : halshs-01082996, version 1


Nicolas Gravel, Brice Magdalou, Patrick Moyes. Ranking Distributions of an Ordinal Attribute. 2014. ⟨halshs-01082996v1⟩



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