Search results for "Hajek variance approximation"

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Estimate the mean electricity consumption curve by survey and take auxiliary information into account

2012

In this thesis, we are interested in estimating the mean electricity consumption curve. Since the study variable is functional and storage capacities are limited or transmission cost are high survey sampling techniques are interesting alternatives to signal compression techniques. We extend, in this functional framework, estimation methods that take into account available auxiliary information and that can improve the accuracy of the Horvitz-Thompson estimator of the mean trajectory. The first approach uses the auxiliary information at the estimation stage, the mean curve is estimated using model-assisted estimators with functional linear regression models. The second method involves the au…

Model-assisted estimator[ MATH.MATH-GM ] Mathematics [math]/General Mathematics [math.GM]Unequal probability sampling without replacement[MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM]Functional linear modelCovariance functionFunctional central limit theoremConfidence bandFunctional dataBootstrapSurvey sampling[MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM]Théorème central limite fonctionnelDonnées fonctionnellesHajek variance approximationFonction de covariancePlan à probabilités inégales sans remiseEstimateur de Horvitz-ThompsonModèle linéaire fonctionnelApproximation de HájekHorvitz-Thompson estimatorSondageBande de confianceEstimateur model-assisted
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