On estimators of the mean of Infinite dimensional data in finite populations

DOI10.3150/23-bej1617arXiv2305.15124MaRDI QIDQ6178586

Probal Chaudhuri, Anurag Dey

Publication date: 16 January 2024

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.15124

zbMATH Keywords

asymptotic normalityheteroscedasticityinclusion probabilityseparable Hilbert spacecovariance operatorrelative efficiencyconsistency of estimatorshigh entropy sampling design

Mathematics Subject Classification ID

Statistics (62-XX) Nonparametric inference (62Gxx) Statistical sampling theory and related topics (62Dxx)

Cites Work

• A Simple Test for Heteroscedasticity and Random Coefficient Variation
• A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity
• Model assisted survey sampling
• Rate of convergence to normal distribution for the Horvitz-Thompson estimator.
• Uniform convergence and asymptotic confidence bands for model-assisted estimators of the mean of sampled functional data
• Central limit theorems revisited
• On the estimation of the distribution function of a finite population under high entropy sampling designs, with applications
• Functional central limit theorems for single-stage sampling designs
• Confidence bands for Horvitz-Thompson estimators using sampled noisy functional data
• On the sampling system with probability proportionate to sum of sizes
• On asymptotic normality and variance estimation for nondifferentiable survey estimators
• Horvitz-Thompson estimators for functional data: asymptotic confidence bands and optimal allocation for stratified sampling
• Sampling Statistics
• On the Feasibility of Basing Horvitz and Thompson's Estimator on a Sample by Rao, Hartley, and Cochran's Scheme
• Calibration Estimators in Survey Sampling
• Some results on generalized difference estimation and generalized regression estimation for finite populations
• Survey Design Under the Regression Superpopulation Model
• Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators
• Variance Estimation and Asymptotic Confidence Bands for the Mean Estimator of Sampled Functional Data with High Entropy Unequal Probability Sampling Designs
• Pareto Sampling versus Sampford and Conditional Poisson Sampling
• Asymptotic Theory of Rejective Sampling with Varying Probabilities from a Finite Population
• A Generalization of Sampling Without Replacement From a Finite Universe
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On estimators of the mean of Infinite dimensional data in finite populations