On the Convergence of the Horvitz-Thompson Estimator |
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Authors: | P M Robinson |
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Institution: | Department of Mathematics, University of Surrey |
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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. |
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