Small Area Estimation Under Informative Sampling

Pfeffermann, Danny and Sverchkov, Michail (2003) Small Area Estimation Under Informative Sampling. Southampton, UK, Southampton Statistical Sciences Research Institute, 13pp. (S3RI Methodology Working Papers, M03/22).


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This article proposes two approaches for small area estimation under informative sampling. The semi-parametric approach makes no assumptions regarding the relationship between the area selection probabilities and the true area means. The proposed predictors under this approach are approximately unbiased for both the sampled and nonsampled areas but the prediction RMSEs can be large particularly for nonsampled areas. The parametric approach models the relationship between the area selection probabilities and the area means and incorporates this relationship into the model for the study variable. As illustrated by a simulation study, the use of this approach can reduce the RMSEs quite significantly.

Item Type: Monograph (UNSPECIFIED)
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Subjects: H Social Sciences > HA Statistics
Divisions : University Structure - Pre August 2011 > Southampton Statistical Sciences Research Institute
ePrint ID: 8172
Accepted Date and Publication Date:
Date Deposited: 11 Jul 2004
Last Modified: 31 Mar 2016 11:11

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