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?:abstract
  • Small area estimation is receiving considerable attention due to the high demand for small areastatistics. Small area estimators of means and totals have been widely studied in the literature.Moreover, in the last years also small area estimators of quantiles and poverty indicators havebeen studied. In contrast, small area estimators of inequality indicators, which are often usedin socio-economic studies, have received less attention. In this article, we propose a robustmethod based on the M-quantile regression model for small area estimation of the Theil indexand the Gini coefficient, two popular inequality measures. To estimate the mean squared errora non-parametric bootstrap is adopted. A robust approach is used because often inequality ismeasured using income or consumption data, which are often non-normal and affected byoutliers. The proposed methodology is applied to income data to estimate the Theil index andthe Gini coefficient for small domains in Tuscany (provinces by age groups), using survey andCensus micro-data as auxiliary variables. In addition, a design-based simulation is carried outto study the behaviour of the proposed robust estimators. The performance of the bootstrapmean squared error estimator is also investigated in the simulation study (xsd:string)
?:author
?:comment
  • (SILC) (xsd:string)
?:dataSource
  • EU-SILC-Bibliography (xsd:string)
?:dateModified
  • 2021 (xsd:gyear)
?:datePublished
  • 2021 (xsd:gyear)
?:doi
  • 10.2478/jos-2021-0041 ()
?:duplicate
?:fromPage
  • 955 (xsd:string)
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  • english (xsd:string)
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?:issueNumber
  • 4 (xsd:string)
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?:name
  • Robust Estimation of the Theil Index and the Gini Coeffient for Small Areas (xsd:string)
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  • article (xsd:string)
?:reference
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  • Bibsonomy (xsd:string)
  • In Journal of Official Statistics, 37(4), 955-979, 2021 (xsd:string)
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  • European Union Statistics on Income and Living Conditions (EU-SILC) (xsd:string)
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  • 2021 (xsd:string)
  • CCBY (xsd:string)
  • FDZ_GML (xsd:string)
  • OA_SSOAR (xsd:string)
  • OAproved (xsd:string)
  • SCIEindexed (xsd:string)
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  • SILC (xsd:string)
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  • 979 (xsd:string)
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  • 37 (xsd:string)