Small area estimation via M-quantile geographically weighted regression
نویسندگان
چکیده
منابع مشابه
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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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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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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The modifiable areal unit problems (MAUP) is a problem by which aggregated units of data influence the results of spatial data analysis. Standard GWR, which ignores aggregation mechanisms, cannot be considered to serve as an efficient countermeasure of MAUP. Accordingly, this study proposes a type of GWR with aggregation mechanisms, termed area-to-point (ATP) GWR herein. ATP GWR, which is close...
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Quantile regression investigates the conditional quantile functions of a response variables in terms of a set of covariates. Mquantile regression extends this idea by a “quantile-like” generalization of regression based on influence functions. In this work we extend it to nonparametric regression, in the sense that the M-quantile regression functions do not have to be assumed to be linear, but ...
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ژورنال
عنوان ژورنال: TEST
سال: 2010
ISSN: 1133-0686,1863-8260
DOI: 10.1007/s11749-010-0231-1