Prediction of finite population totals based on the sample distribution


Sverchkov, Michail and Pfeffermann, Danny (2004) Prediction of finite population totals based on the sample distribution. Survey Methodology, 30, (1), 79-92.

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Description/Abstract

This article studies the use of the sample distribution for the prediction of finite population totals under single-stage sampling. The proposed predictors employ the sample values of the target study variable, the sampling weights of the sample units and possibly known population values of auxiliary variables. The prediction problem is solved by estimating the expectation of the study values for units outside the sample as a function of the corresponding expectation under the sample distribution and the sampling weights. The prediction mean square error is estimated by a combination of an inverse sampling procedure and a re-sampling method. An interesting 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: Article
ISSNs: 1492-0921 (print)
Related URLs:
Keywords: bootstrap (statistics), error analysis, mathematics, models, sample data, survey design, survey sampling
Subjects: H Social Sciences > HA Statistics
Divisions: University Structure - Pre August 2011 > School of Social Sciences > Social Statistics
ePrint ID: 38498
Date Deposited: 19 Jun 2006
Last Modified: 27 Mar 2014 18:24
URI: http://eprints.soton.ac.uk/id/eprint/38498

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