We propose a new small area estimation approach that combines small area random effects with a smooth, nonparametrically specified trend. By using penalized splines as the representation for the nonparamet-ric trend, it is possible to express the small area estimation problem as a mixed effect regression model. We show how this model can be fitted using… (More)
This article proposes a new small area estimation approach that combines small area random effects with a smooth, nonparametrically specified trend. By using penalized splines as the representation for the nonparametric trend, it is possible to express the small area estimation problem as a mixed effect model regression. This model is readily fitted using… (More)
Nonparametric regression is widely used as a method of characterising a non-linear relationship between a variable of interest and a set of covariates. Practical application of nonparametric regression methods in the field of small area estimation is fairly recent, and has so far focussed on the use of empirical best linear unbiased prediction under a model… (More)
Quantile regression investigates the conditional quantile functions of a response variables in terms of a set of covariates. M-quantile 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… (More)
(1988). An error-components model for prediction of county crop areas using survey and satellite data. (2007). Semiparametric model-assisted estimation for natural resource surveys. (2006). A kernel smoothing method of adjusting for unit non-response in sample surveys. The ten cases of auxiliary information for calibration in two-phase sampling.
Data from complex survey designs require special consideration with regard to estimation of finite population parameters and corresponding variance estimation procedures, as a consequence of significant departures from the simple random sampling assumption. In the past decade a number of statistical software packages have been developed to facilitate the… (More)