Increasing concave orderings of linear combinations of order statistics with applications to social welfare

Antonia Castaño-Martínez, Gema Pigueiras, Georgios Psarrakos and Miguel A. Sordo ()
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Antonia Castaño-Martínez: University of Cádiz
Gema Pigueiras: University of Cádiz
Georgios Psarrakos: University of Piraeus
Miguel A. Sordo: University of Cádiz

Metrika: International Journal for Theoretical and Applied Statistics, 2020, vol. 83, issue 6, No 4, 699-712

Abstract: Abstract We provide in this paper sufficient conditions for comparing, in terms of the increasing concave order, some income random variables based on linear combinations of order statistics that are relevant in the framework of social welfare. The random variables under study are weighted average incomes of the poorest and, for some particular weights, their expectations are welfare measures whose integral representations are weighted areas underneath Bonferroni curves.

Keywords: Increasing concave order; Generalized Lorenz order; Welfare measurement; Order statistics (search for similar items in EconPapers)
JEL-codes: G22 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s00184-019-00754-1

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