Variance Estimation and Asymptotic Confidence Bands for the Mean Estimator of Sampled Functional Data with High Entropy Unequal Probability Sampling Designs

DOI10.1111/sjos.12048zbMath1416.62075arXiv1209.6503OpenAlexW2104818212MaRDI QIDQ5418640

Pauline Lardin, Camelia Goga, Hervé Cardot

Publication date: 26 May 2014

Published in: Scandinavian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.6503

zbMATH Keywords

covariance functionfinite populationKullback-Leibler divergenceHorvitz-Thompson estimatorrejective samplingunequal probability sampling without replacementfirst order inclusion probabilitiesHájek approximation

Mathematics Subject Classification ID

Sampling theory, sample surveys (62D05)

Related Items (5)

Model-Assisted Estimation Through Random Forests in Finite Population Sampling ⋮ On estimators of the mean of Infinite dimensional data in finite populations ⋮ Empirical Processes in Survey Sampling with (Conditional) Poisson Designs ⋮ Uniform convergence and asymptotic confidence bands for model-assisted estimators of the mean of sampled functional data ⋮ B-Spline Estimation in a Survey Sampling Framework

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Variance approximation under balanced sampling
• A fast algorithm for balanced sampling
• On the distance between some \(\pi\)ps sampling designs
• Rate of convergence for asymptotic variance of the Horvitz-Thompson estimator
• Rate of convergence to normal distribution for the Horvitz-Thompson estimator.
• Approximation of rejective sampling inclusion probabilities and application to high order correlations
• Recursive estimation of the conditional geometric median in Hilbert spaces
• Local central limit theorems, the high-order correlations of rejective sampling and logistic likelihood asymptotics
• Confidence bands for Horvitz-Thompson estimators using sampled noisy functional data
• Functional data analysis.
• Simultaneous confidence bands for nonparametric regression with functional data
• Conditional and Restricted Pareto Sampling: Two New Methods for Unequal Probability Sampling
• Efficient balanced sampling: The cube method
• Horvitz-Thompson estimators for functional data: asymptotic confidence bands and optimal allocation for stratified sampling
• Some design properties of a rejective sampling procedure
• Weighted finite population sampling to maximize entropy
• On the Optimum Rate of Transmitting Information
• Pareto Sampling versus Sampford and Conditional Poisson Sampling
• Asymptotic Theory of Rejective Sampling with Varying Probabilities from a Finite Population

This page was built for publication: Variance Estimation and Asymptotic Confidence Bands for the Mean Estimator of Sampled Functional Data with High Entropy Unequal Probability Sampling Designs