Prediction of finite population totals based on the sample distribution
Sverchkov, Michail and Pfeffermann, Danny (2003) Prediction of finite population totals based on the sample distribution. Southampton, UK, Southampton Statistical Sciences Research Institute, 31pp. (S3RI Methodology Working Papers, (M03/06) ).
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In this article we study the use of the sample distribution for the prediction of finite population totals under single-stage sampling. The proposed predictors condition on the sample values of the target outcome variable, the sampling weights of the sample units and possibly on known population values of auxiliary variables.
The prediction problem is solved by estimating the expectation of the outcome values for units outside the sample as a function of the corresponding expectation under the sample distribution and the sampling weights. The prediction variance is estimated by a combination of an inverse sampling procedure and the bootstrap method. An important outcome of the present analysis is that several familiar estimators in common use are shown to be special cases of the proposed approach, thus providing them a new interpretation. The performance of the new and some old predictors in common use is evaluated and compared by a Monte Carlo simulation study using a real data set.
|Item Type:||Monograph (Working Paper)|
|Keywords:||bootstrap, design consistency, informative sampling, sample-complement distribution|
|Subjects:||H Social Sciences > HA Statistics|
|Divisions:||University Structure - Pre August 2011 > Southampton Statistical Sciences Research Institute
|Date Deposited:||28 Jun 2006|
|Last Modified:||08 Jun 2012 12:44|
|Contributors:||Sverchkov, Michail (Author)
Pfeffermann, Danny (Author)
|Date:||1 January 2003|
|Publisher:||Southampton Statistical Sciences Research Institute|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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