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Biometrika 1996 83(1):238-241; doi:10.1093/biomet/83.1.238
© 1996 by Biometrika Trust
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MISCELLANEA

An elimination procedure for unequal probability sampling without replacement

YVES TILLÉ

Laboratoire de Méthodologie du Traitement des Données C.P. 124 Université Libre de Bruxelles Avenue Jeanne, 44, 1050 Bruxelles, Belgium

An exact without replacement sampling procedure with fixed sample size and unequal inclusion probabilities is presented. The proposed method eliminates a unit of the population at each of the N – n steps of the algorithm in order finally to retain n units. A simple expression is given for the joint inclusion probabilities.

Key Words: Sampling without replacement • Unequal probability sampling


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