Bayes and minimax prediction in finite populations

DOI10.1016/0378-3758(91)90022-7zbMath0728.62012OpenAlexW2053117670MaRDI QIDQ805095

Shelemyahu Zacks, Heleno Bolfarine

Publication date: 1991

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(91)90022-7

zbMATH Keywords

normalityfinite populationsquared error losspopulation variancebest linear unbiased predictorpopulation totalsuperpopulationsfinite population regression coefficientBayesian predictorminimax prediction

Mathematics Subject Classification ID

Bayesian inference (62F15) Sampling theory, sample surveys (62D05)

Related Items (18)

Bayes and minimax estimators for two-stage sampling from a finite population under measurement error models ⋮ Quadratic prediction problems in finite populations ⋮ On distribution of the leadership time in counting votes and predicting winners ⋮ Admissible prediction in superpopulation models with random regression coefficients under matrix loss function ⋮ Optimal and minimax prediction in multivariate normal populations under a balanced loss function ⋮ On quadratic prediction problems in finite populations ⋮ Simultaneous prediction in the generalized linear model ⋮ All admissible linear predictors in the finite populations with respect to inequality constraints under a balanced loss function ⋮ Optimal prediction in finite populations under matrix loss ⋮ Robustness of Bayes Prediction Under Error-in-Variables Superpopulation Model ⋮ Bayes Prediction for a Stratified Regression Superpopulation Model Using Balanced Loss Function ⋮ A conversation with Shelemyahu Zacks ⋮ Quadratic prediction problems in multivariate linear models ⋮ Admissible Linear Predictors in the Superpopulation Model with Respect to Inequality Constraints ⋮ Linear minimax prediction of finite population regression coefficient under a balanced loss function ⋮ Permutation Matrix with Application to Optimal Invariant Quadratic Prediction in Finite Populations ⋮ Bayes Predictor of One-Parameter Exponential Family Type Population Mean Under Balanced Loss Function ⋮ Empirical bayesian prediction in the location error in variables superpopulation model

Cites Work

• Implications of survey design for generalized regression estimation of linear functions
• A General Theory of Prediction in Finite Populations
• Bayes and equtvariant estimators of the variance of a finite population: part I, simple random sampling
• A "Super-Population Viewpoint" for Finite Population Sampling
• The Linear Least-Squares Prediction Approach to Two-Stage Sampling
• Balanced samples and robust Bayesian inference in finite population sampling
• Robust Estimation in Finite Populations I
• Regression Analysis in Sample Surveys
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