M-quantile models for small area estimation

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M-quantile Models for Small Area Estimation

Small area estimation techniques are employed when sample data are insufficient for acceptably precise direct estimation in domains of interest. These techniques typically rely on regression models that use both covariates and random effects to explain variation between domains. However, such models also depend on strong distributional assumptions, require a formal specification of the random p...

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Small Area Estimation Via M- Quantile Geographically Weighted Regression

The effective use of spatial information, that is the geographic locations of population units, in a regression model-based approach to small area estimation is an important practical issue. One approach for incorporating such spatial information in a small area regression model is via Geographically Weighted Regression (GWR). In GWR the relationship between the outcome variable and the covaria...

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Nonparametric Small Area Estimation via M-quantile Regression using Penalized Splines

The demand of reliable statistics for small areas, when only reduced sizes of the samples are available, has promoted the development of small area estimation methods. In particular, an approach that is now widely used is based on linear mixed models. Chambers & Tzavidis (2006) have recently proposed an approach for small area estimation that is based on M-quantile models. However, when the fun...

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ژورنال

عنوان ژورنال: Biometrika

سال: 2006

ISSN: 1464-3510,0006-3444

DOI: 10.1093/biomet/93.2.255