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UID:7317@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20180514T103000
DTEND;TZID=Europe/Paris:20180514T113000
DTSTAMP:20241120T203910Z
URL:https://www.i2m.univ-amu.fr/evenements/sampling-with-auxiliary-informa
 tion-and-repulsion/
SUMMARY:Matthieu Wilhelm (EPFL\, Lausanne\, Suisse): Sampling with auxiliar
 y information and repulsion
DESCRIPTION:Matthieu Wilhelm: In this talk\, random sampling will be discus
 sed in several different settings. First\, sampling in finite population i
 s discussed\, in view of three principles: overrepresentation\, restrictio
 n and randomization. We argue that those principles should be kept in mind
  when designing a survey and we give rationale for their use. When auxilia
 ry information is available\, and under some reasonable model\, it is poss
 ible to optimize the sampling design while keeping the design unbiasedness
  properties of the Horvitz-Thompson estimator of the total (or the mean) o
 f the variable of interest. In particular\, we highlight the role of balan
 ced sampling when the assumed model is linear in terms of the auxiliary va
 riables.\nSometimes\, no auxiliary information is available but a correlat
 ion between close units exists. This can be the case if the variable of in
 terest varies smoothly across the units\, for instance for a survey in rea
 l time or a spatial survey. We show that a repulsive sampling design is ap
 propriate in this case. We then introduce a class of sampling design in fi
 nite population that allows us to control the spreading between units.\nIn
  a second part\, we consider sampling in a Euclidean space\, where the var
 iable of interest is a function and we aim at computing the integral (or t
 he mean) of this function on some bounded domain. In the case of a one dim
 ensional function\, we develop a family of sampling processes that allows 
 us to continuously tune the repulsion between units.\nFinally\, if time pe
 rmits\, we will discuss the application of determinantal point processes f
 or the purpose of sampling.\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Matthieu_Wilhelm.jpg
CATEGORIES:Séminaire,Statistique
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DTSTART:20180325T030000
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