most citedVariance estimation and asymptotic confidence bands for the mean estimator of sampled functional data with high entropy unequal probability sampling designs

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math.ST2012★ 1 cited

Variance estimation and asymptotic confidence bands for the mean estimator of sampled functional data with high entropy unequal probability sampling designs

Hervé Cardot, Camelia Goga, Pauline Lardin

For fixed size sampling designs with high entropy it is well known that the variance of the Horvitz-Thompson estimator can be approximated by the Hájek formula. The interest of thi…

math.ST2012

Uniform convergence and asymptotic confidence bands for model-assisted estimators of the mean of sampled functional data

Hervé Cardot, Camelia Goga, Pauline Lardin

When the study variable is functional and storage capacities are limited or transmission costs are high, selecting with survey sampling techniques a small fraction of the observati…