Resource title

On the convergence of the Horvitz-Thompson estimator

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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.

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en

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http://eprints.lse.ac.uk/1418/

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