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Some remarks on unequal probability sampling designs without replacement
Résumé – A set of demands is presented which should be satisfied
by a good unequal-probability sampling method without replacement. First it is shown that some of these demands are contradictory. In particular, it is shown that a sequential algorithm that ensures strictly positive joint inclusion probabilities does not exist; not does there exist a sequential procedure that yields a result which is not dependent on the order of units in the data file. Next, a way is discussed to build approximations of the joint-inclusion probabilities for sampling design implemented by means of a sequential algorithm and preceded by a random sort of the data file. An original approximation is proposed which resorts to a method of adjustment to marginal totals. Finally, several approximations are compared to systematic sampling, and to Sunter’s method.
   
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Citation Tillé, Y. (1996). Some remarks on unequal probability sampling designs without replacement. Annales d'Economie et de Statistique, 44, 177-189.
   
Type Article de périodique (Anglais)
Date de publication 24-3-1996
Nom du périodique Annales d'Economie et de Statistique
Volume 44
Pages 177-189
URL http://annales.ensae.fr/anciens/n44/vol44-08.pdf