Estimating with kernel smoothers the mean of functional data in a finite population setting. A note on variance estimation in presence of partially observed trajectories

Hervé Cardot, Anne De Moliner and Camelia Goga

Statistics & Probability Letters, 2015, vol. 99, issue C, 156-166

Abstract: This paper studies, in a survey sampling framework with unequal probability sampling designs, three nonparametric kernel estimators for the mean curve in presence of discretized trajectories with missing values. Their pointwise variances are approximated thanks to linearization techniques.

Keywords: Functional data; Hájek estimator; Horvitz–Thompson estimator; Missing values; Nonparametric estimation; Survey sampling (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1016/j.spl.2015.01.025

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