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IMA Journal of Management Mathematics Advance Access originally published online on July 27, 2008
IMA Journal of Management Mathematics 2009 20(1):81-94; doi:10.1093/imaman/dpn015
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© The authors 2008. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Bootstrapping to choose an estimator after sampling on two occasions

A. T. Brint{dagger}

Sheffield University Management School, 9 Mappin Street, Sheffield S1 4DT, UK

{dagger} Email: a.brint{at}sheffield.ac.uk

Received on 22 August 2007. Accepted on 13 June 2008.

When successive surveys are undertaken so as to keep a population estimate up to date, combining the data from the most recent survey with data from earlier surveys is more efficient than just using the most recent survey. The standard approach to combining the data forms separate estimates from the set of items observed on the earlier occasion and the set observed on the later occasion and then forms a combined estimate. The approach assumes that the population is very large and that the observed values of the variable of interest are continuous. In many situations, neither assumption is particularly appropriate. This paper compares an alternative approach with the standard approach and finds that the alternative approach sometimes provides a better estimator. It then puts forward an improved estimator based on choosing between these approaches using a bootstrap procedure.

Keywords: repeat surveys; successive sampling; survey index; bootstrap


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