0000000000342293

AUTHOR

Anne De Moliner

showing 5 related works from this author

Conditional Bias Robust Estimation of the Total of Curve Data by Sampling in a Finite Population: An Illustration on Electricity Load Curves

2020

Abstract For marketing or power grid management purposes, many studies based on the analysis of total electricity consumption curves of groups of customers are now carried out by electricity companies. Aggregated totals or mean load curves are estimated using individual curves measured at fine time grid and collected according to some sampling design. Due to the skewness of the distribution of electricity consumptions, these samples often contain outlying curves which may have an important impact on the usual estimation procedures. We introduce several robust estimators of the total consumption curve which are not sensitive to such outlying curves. These estimators are based on the conditio…

FOS: Computer and information sciencesStatistics and ProbabilityPopulationWaveletsStatistics - Applications01 natural sciencesSurvey samplingMethodology (stat.ME)010104 statistics & probabilityKokic and bell methodConditional bias0502 economics and businessStatisticsApplications (stat.AP)Conditional bias0101 mathematics[MATH]Mathematics [math]educationStatistics - Methodology050205 econometrics MathematicsEstimationeducation.field_of_studyModified band depthbusiness.industryApplied Mathematics05 social sciencesSampling (statistics)Functional dataBootstrapElectricityStatistics Probability and Uncertaintybusinessasymptotic confidence bandsSocial Sciences (miscellaneous)Spherical principal component analysis
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Estimation of total electricity consumption curves of small areas by sampling in a finite population

2016

International audience; Many studies carried out in the French electricity company EDF are based on the analysis of the total electricity consumption curves of groups of customers. These aggregated electricity consumption curves are estimated by using samples of thousands of curves measured at a small time step and collected according to a sampling design. Small area estimation is very usual in survey sampling. It is often addressed by using implicit or explicit domain models between the interest variable and the auxiliary variables. The goal here is to estimate totals of electricity consumption curves over domains or areas. Three approaches are compared: the rst one consists in modeling th…

Big dataEnergyMSC: 62H25Functional principal component analysis[MATH.MATH-ST]Mathematics [math]/Statistics [math.ST]Regression trees[ MATH.MATH-ST ] Mathematics [math]/Statistics [math.ST]Mixed modelsFunctional data[MATH.MATH-ST] Mathematics [math]/Statistics [math.ST]
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Estimating with kernel smoothers the mean of functional data in a finite population setting. A note on variance estimation in presence of partially o…

2014

In the near future, millions of load curves measuring the electricity consumption of French households in small time grids (probably half hours) will be available. All these collected load curves represent a huge amount of information which could be exploited using survey sampling techniques. In particular, the total consumption of a specific cus- tomer group (for example all the customers of an electricity supplier) could be estimated using unequal probability random sampling methods. Unfortunately, data collection may undergo technical problems resulting in missing values. In this paper we study a new estimation method for the mean curve in the presence of missing values which consists in…

FOS: Computer and information sciencesStatistics and ProbabilityPopulationRatio estimatorLinearizationRatio estimator01 natural sciencesSurvey sampling.Horvitz–Thompson estimatorMethodology (stat.ME)010104 statistics & probabilityH\'ajek estimator0502 economics and businessApplied mathematicsMissing valuesHorvitz-Thompson estimator0101 mathematicseducationStatistics - Methodology050205 econometrics MathematicsPointwiseeducation.field_of_study[STAT.ME] Statistics [stat]/Methodology [stat.ME]05 social sciencesNonparametric statisticsEstimator16. Peace & justiceMissing dataFunctional data[ STAT.ME ] Statistics [stat]/Methodology [stat.ME]Kernel (statistics)Statistics Probability and UncertaintyNonparametric estimation[STAT.ME]Statistics [stat]/Methodology [stat.ME]
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Estimation of total electricity consumption curves by sampling in a finite population when some trajectories are partially unobserved

2019

International audience; Millions of smart meters that are able to collect individual load curves, that is, electricity consumption time series, of residential and business customers at fine scale time grids are now deployed by electricity companies all around the world. It may be complex and costly to transmit and exploit such a large quantity of information, therefore it can be relevant to use survey sampling techniques to estimate mean load curves of specific groups of customers. Data collection, like every mass process, may undergo technical problems at every point of the metering and collection chain resulting in missing values. We consider imputation approaches (linear interpolation, k…

Statistics and Probabilityconstructionkernel smoothingPopulationSurvey samplingimputation01 natural sciences010104 statistics & probability[MATH.MATH-ST]Mathematics [math]/Statistics [math.ST]0502 economics and businessStatisticsImputation (statistics)0101 mathematicseducationsurvey samplingfunctional data050205 econometrics Mathematicsconfidence bandsConsumption (economics)Estimationeducation.field_of_studymissing completely at randombusiness.industry05 social sciencesprincipal analysis by conditional estimationSampling (statistics)[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]nearest neighboursKernel smoothervariance-estimationElectricityStatistics Probability and Uncertaintybusinessvariance approximation
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Robust estimation of mean electricity consumption curves by sampling for small areas in presence of missing values

2017

In this thesis, we address the problem of robust estimation of mean or total electricity consumption curves by sampling in a finite population for the entire population and for small areas. We are also interested in estimating mean curves by sampling in presence of partially missing trajectories.Indeed, many studies carried out in the French electricity company EDF, for marketing or power grid management purposes, are based on the analysis of mean or total electricity consumption curves at a fine time scale, for different groups of clients sharing some common characteristics.Because of privacy issues and financial costs, it is not possible to measure the electricity consumption curve of eac…

Linear mixed modelsSmall area estimationMissing dataRegression treesEstimation sur petits domaines[MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM]Estimateurs à noyauModèles linéaires mixtesRandom forestsBiais conditionnelsFunctional dataSurvey sampling[MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM]RobustesseDonnées fonctionnellesPlus proches voisinsForêts aléatoiresConditional biasKernel estimatorsNearest neighboursSondageDonnées manquantesRobustnessArbres de régression
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