Maximum entropy estimation for survey sampling |
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Authors: | Fabrice Gamboa Jean-Michel Loubes Paul Rochet |
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Affiliation: | Institut de Mathématiques de Toulouse, Université Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse, France |
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Abstract: | Calibration methods have been widely studied in survey sampling over the last decades. Viewing calibration as an inverse problem, we extend the calibration technique by using a maximum entropy method. Finding the optimal weights is achieved by considering random weights and looking for a discrete distribution which maximizes an entropy under the calibration constraint. This method points a new frame for the computation of such estimates and the investigation of its statistical properties. |
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Keywords: | Inverse problems Calibration Bayesian estimation |
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