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- W1587346543 abstract "Small area estimators based on M-quantile regression have been recently introduced in the small area estimation literature. The aim is to obtain reliable small area estimates robust with respect to the presence of outliers and without the de- manding distributional assumptions typical of the more popular predictors based on linear mixed models. These M-quantile predictors do not make use of the unit level survey weights and, as a result, they are not design consistent as the area sample sizes become large, unless the sampling design is self-weighting within areas. In this paper, exploiting a GREG-like representation of the bias-adjusted M-quantile predictors, we introduce design consistent small area estimators based on quan- tile regression that use unit-level sampling weights. These estimators are compared with pseudo-EBLUP predictors, and a bootstrap algorithm for the estimation of their design-based variance is introduced." @default.
- W1587346543 created "2016-06-24" @default.
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- W1587346543 date "2010-05-02" @default.
- W1587346543 modified "2023-09-27" @default.
- W1587346543 title "Design consistent small area estimators based on M-quantile regression" @default.
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