Institut de Mathématiques de Marseille, UMR 7373


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14 mai 2018: 1 événement


  • Séminaire Statistique

    Lundi 14 mai 2018 10:30-11:30 - Matthieu WILHELM - Université de Neuchâtel

    Sampling with auxiliary information and repulsion

    Résumé : In this talk, random sampling will be discussed in several different settings. First, sampling in finite population is discussed, in view of three principles : overrepresentation, restriction and randomization. We argue that those principles should be kept in mind when designing a survey and we give rationale for their use. When auxiliary information is available, and under some reasonable model, it is possible to optimize the sampling design while keeping the design unbiasedness properties of the Horvitz-Thompson estimator of the total (or the mean) of the variable of interest. In particular, we highlight the role of balanced sampling when the assumed model is linear in terms of the auxiliary variables.
    Sometimes, no auxiliary information is available but a correlation between close units exists. This can be the case if the variable of interest varies smoothly across the units, for instance for a survey in real time or a spatial survey. We show that a repulsive sampling design is appropriate in this case. We then introduce a class of sampling design in finite population that allows us to control the spreading between units.
    In a second part, we consider sampling in a Euclidean space, where the variable of interest is a function and we aim at computing the integral (or the mean) of this function on some bounded domain. In the case of a one dimensional function, we develop a family of sampling processes that allows us to continuously tune the repulsion between units.
    Finally, if time permits, we will discuss the application of determinantal point processes for the purpose of sampling.

    JPEG - 24.5 ko
    Matthieu WILHELM

    Lieu : salle R164 du CMI - I2M - Château-Gombert
    39 rue Frédéric Joliot-Curie
    13453 MARSEILLE cedex 13

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    En savoir plus : Séminaire Statistique

14 mai 2018: 1 événement

groupe de travail

  • Agenda ERC IChaos

    Du 12 au 18 mai 2018 - Alexander BUFETOV

    Research in Pairs with Yanqi QIU

    Résumé : Dynamique des Processus Ponctuels :
    Nous travaillerons notamment sur les propriétés de mélange des processus déterminantaux associés aux espaces de Fock et de Bergman

    Lieu : Institut Henri Poincaré - 11, Rue Pierre et Marie Curie
    75005 Paris

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En savoir plus : Agenda ERC IChaos