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A comparison of conditional Poisson sampling versus unequal probability sampling with replacement
Résumé The variance of the Horvitz–Thompson estimator for a fixed size ConditionalPoissonsampling scheme without replacement and with unequal inclusion probabilities is compared to the variance of the Hansen–Hurwitz estimator for asampling scheme with replacement. We show, using a theorem by Gabler, that the sampling design without replacement is more efficient than the sampling design with replacement.
   
Mots-clés Conditional Poisson sampling; Efficiency; Gabler's conditions; Survey sampling
   
Citation Qualité, L. (2008). A comparison of conditional Poisson sampling versus unequal probability sampling with replacement. Journal of Statistical Planning and Inference, 138(5), 1428-1432.
   
Type Article de périodique (Anglais)
Date de publication 5-4-2008
Nom du périodique Journal of Statistical Planning and Inference
Volume 138
Numéro 5
Pages 1428-1432
URL http://www.sciencedirect.com/science/article/pii/S0378375...