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On the convergence of the Horvitz-Thompson estimator

By Peter Robinson

Abstract

We investigate the degree to which the Horvitz-Thompson estimator approximates the population mean in survey sampling. Specifically, conditions for (mean square) consistency are given, along with rates of convergence. The conditions involve only first and second-order inclusion probabilities, and for various sampling designs they are easy to check

Topics: HA Statistics, HB Economic Theory
Publisher: Wiley-Blackwell on behalf of Statistical Society of Australia, Statistical Society of Australia
Year: 1982
DOI identifier: 10.1111/j.1467-842X.1982.tb00829.x
OAI identifier: oai:eprints.lse.ac.uk:1418
Provided by: LSE Research Online
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