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Méthodes de Bootstrap en population finie

Abstract : This Phd deals with Bootstrap methods for finite population sampling. The first chapter introduces some bases about sampling and gives an overview of the main variance estimation techniques. A remind on Bootstrap methods for simple random sampling is given in chapter 2, and two new methods are introduced. A Bootstrap algorithm for unequal probability sampling is proposed in chapter 3, and shown to be consistent for variance estimation of plug-in statistics in case of large entropy sampling designs. Balanced sampling is presented in chapter 4, and a fast algorithm is proposed. Former Bootstrap algorithm is shown to be consistent as well in case of variance estimation for a maximum entropy balanced sampling design. Cases of complex sampling designs or reweighting strategies are discussed in chapter 5. An application to the French Renovated Census is given in chapter 6
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Submitted on : Friday, March 28, 2008 - 10:20:48 AM
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Guillaume Chauvet. Méthodes de Bootstrap en population finie. Mathématiques [math]. ENSAI, 2007. Français. ⟨tel-00267689⟩

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