An adaptive algorithm for estimating inclusion probabilities and performing the Horvitz-Thompson criterion in complex designs (Q638044)
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scientific article; zbMATH DE number 5946108
| Language | Label | Description | Also known as |
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| English | An adaptive algorithm for estimating inclusion probabilities and performing the Horvitz-Thompson criterion in complex designs |
scientific article; zbMATH DE number 5946108 |
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An adaptive algorithm for estimating inclusion probabilities and performing the Horvitz-Thompson criterion in complex designs (English)
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8 September 2011
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The author considers empirical Horvitz-Thompson (eHT) estimators where the observations are weighted by weights reciprocal to some empirical estimates \(\hat p_j\) of the true first-order inclusion probabilities \(p_j\) of the sample units. The estimates \(\hat p_j\) are obtained by some replicated sampling scheme. An adaptive algorithm is proposed for determination of the necessary number of replications and calculation of eHT estimates. A two-phase Pareto sampling scheme and a spatial sampling in presence of spatial autocorrelations are considered as examples.
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empirical Horvitz-Thompson estimator
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two-phase Pareto sampling
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replicated sampling
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