Implications of survey design for generalized regression estimation of linear functions

DOI10.1016/0378-3758(82)90074-XzbMath0526.62008OpenAlexW1975812563MaRDI QIDQ594491

Carl Erik Saerndal

Publication date: 1982

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(82)90074-x

zbMATH Keywords

domainsconfidence intervalsfinite populationTaylor expansionsauxiliary informationapproximately design unbiased estimatordesign inferenceestimation of variance-covariance matrixgeneral randomization theory approachgeneralized regression estimation of linear functionsgeneralized regression techniquetwo stage design

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Sampling theory, sample surveys (62D05)

Related Items (19)

Model assisted survey sampling strategy in two phases ⋮ Model assisted survey sampling strategies with randomized response ⋮ Optimal variance estimation for generalized regression predictor ⋮ Variance estimation in model assisted survey sampling ⋮ Borrowing strength from past data in small domain prediction by kalman filtering - a case ⋮ Small domain statistics: a review ⋮ Linearisation for Variance Estimation by Means of Sampling Indicators: Application to Non‐response ⋮ Some asymptotic results in finite populations ⋮ Asymptotic design-cum-model approach for convex weighting of direct and indirect components of small domain predictors ⋮ Setting confidence intervals by ratio estimator ⋮ Sampling from correlated populations: optimal strategies and comparison study ⋮ Survey statisticians celebrate golden jubilee year 2003 of the linear regression estimator ⋮ A note on non-negative mean square error estimation of regression estimators in randomized response surveys ⋮ Estimating the conditional variance of a design consistent regression estimator ⋮ A conditional perspective of weighted variance estimation of the optimal regression estimator ⋮ Regression estimation under sampling with one unit per stratum ⋮ Bayes and minimax prediction in finite populations ⋮ Outlier robust model-assisted small area estimation ⋮ On the efficiency of prediction estimators in two-stage sampling

Cites Work

• A Class of Robust Sampling Designs for Large-Scale Surveys
• Regression Analysis of Data from Complex Surveys
• Some results on generalized difference estimation and generalized regression estimation for finite populations
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