A Note on Chromy’s Sampling Procedure

Guillaume Chauvet (1, 2)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 ENSAI - Ecole Nationale de la Statistique et de l'Analyse de l'Information [Bruz]

Abstract Chromy (1979) proposed an unequal probability sampling algorithm, which is the default sequential method used in the SURVEYSELECT procedure of the SAS software. In this article, we demonstrate that Chromy sampling is equivalent to pivotal sampling. This makes it possible to estimate the variance unbiasedly for the randomized version of the method programmed in the SURVEYSELECT procedure.

Domaines: Statistiques [math.ST]; Probabilités [math.PR]

Guillaume Chauvet. A Note on Chromy’s Sampling Procedure. Journal of Survey Statistics and Methodology, 2021, 9 (5), pp.1050-1061. ⟨10.1093/jssam/smaa025⟩. ⟨hal-03511679⟩