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  • This paper focuses on the estimation of the concentration curve of a finite population, when data are collected according to a complex sampling design with different inclusion probabilities. A (design-based) Hájek type estimator for the Lorenz curve is proposed, and its asymptotic properties are studied. Then, a resampling scheme able to approximate the asymptotic law of the Lorenz curve estimator is constructed. Applications are given to the construction of (i) a confidence band for the Lorenz curve, (ii) confidence intervals for the Gini concentration ratio, and (iii) a test for Lorenz dominance. The merits of the proposed resampling procedure are evaluated through a simulation study. (xsd:string)
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  • https://doi.org/10.1007/s10260-019-00478-6. (SILC) (xsd:string)
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  • EU-SILC-Bibliography (xsd:string)
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  • 2020 (xsd:gyear)
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  • 2020 (xsd:gyear)
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  • 10.1007/s10260-019-00478-6 ()
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  • 1 (xsd:string)
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  • english (xsd:string)
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  • 1613981X ()
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  • 1 (xsd:string)
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  • On the estimation of the Lorenz curve under complex sampling designs (xsd:string)
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  • article (xsd:string)
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  • In Statistical Methods & Applications, 29(1), 1-24, 2020 (xsd:string)
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  • European Union Statistics on Income and Living Conditions (EU-SILC) (xsd:string)
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  • 2020 (xsd:string)
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  • 24 (xsd:string)
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  • 29 (xsd:string)