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Qualité, Lionel

Nom
Qualité, Lionel
Affiliation principale
Site web
Fonction
maître assistant
Email
lionel.qualite@unine.ch
Identifiants
https://libra.unine.ch/handle/123456789/546

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  • Publication
    Métadonnées seulement
    A comparison of conditional Poisson sampling versus unequal probability sampling with replacement
    (2008-4-5)
    Qualité, Lionel 
    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.
  • Publication
    Métadonnées seulement
    Systematic sampling is a minimal support design
    (2007-3-23)
    Pea, Johan 
    ;
    Qualité, Lionel 
    ;
    Tillé, Yves 
    In order to select a sample in a finite population of N units with given inclusion probabilities, it is possible to define asamplingdesign on at most N samples that have a positive probability of being selected. Designs defined on minimal sets of samples are called minimum supportdesigns. It is shown that, for any vector of inclusion probabilities, systematicsampling always provides a minimum supportdesign. This property makes it possible to extensively compute the samplingdesign and the joint inclusion probabilities. Random systematicsampling can be viewed as the random choice of a minimum supportdesign. However, even if the population is randomly sorted, a simple example shows that some joint inclusion probabilities can be equal to zero. Another way of randomly selecting a minimum supportdesign is proposed, in such a way that all the samples have a positive probability of being selected, and all the joint inclusion probabilities are positive.