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

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URI: http://hdl.handle.net/10498/33386

DOI: 10.1007/S00184-019-00754-1

ISSN: 0026-1335

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Author/s
Castaño Martínez, AntoniaAuthority UCA; Pigueiras Voces, GemaAuthority UCA; Psarrakos, Georgios; Sordo Díaz, Miguel ÁngelAuthority UCA
Date
2019
Department
Estadística e Investigación Operativa
Source
Metrika, Vol. 83, Núm. 6, 2020, pp. 699-712
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.
Subjects
Increasing concave order; Generalized Lorenz order; Welfare measurement; Order statistics
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional