Empirical best linear unbiased and empirical Bayes prediction in multivariate small area estimation.

DOI10.1016/S0378-3758(98)00147-5zbMath1070.62501OpenAlexW1993872164MaRDI QIDQ1298960

Banmo Day, Gauri Sankar Datta, Ishwar V. Basawa

Publication date: 1999

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

Full work available at URL: https://doi.org/10.1016/s0378-3758(98)00147-5

zbMATH Keywords

Maximum likelihoodMultivariate mixed linear modelNested error regressionResidual maximum likelihood

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Sampling theory, sample surveys (62D05) Empirical decision procedures; empirical Bayes procedures (62C12)

Related Items (14)

Adjusted maximum likelihood method for multivariate Fay-Herriot model ⋮ Corrected empirical Bayes confidence region in a multivariate Fay-Herriot model ⋮ Small area estimation of socioeconomic indicators for sampled and unsampled domains ⋮ Small area estimation with auxiliary survey data ⋮ Empirical best linear unbiased predictors in multivariate nested-error regression models ⋮ Evaluations of small area composite estimators based on the iterative proportional fitting algorithm ⋮ Parametric bootstrap mean squared error of a small area multivariate EBLUP ⋮ Statistical data integration using multilevel models to predict employee compensation ⋮ Multivariate Small Area Estimation of Multidimensional Latent Economic Well‐being Indicators ⋮ Robust estimation of mean squared error matrix of small area estimators in a multivariate Fay-Herriot model ⋮ Mean-squared errors of small-area estimators under a unit-level multivariate model ⋮ Robust generalized linear mixed models for small area estimation ⋮ Empirical best linear unbiased and empirical Bayes prediction in multivariate small area estimation. ⋮ Small area estimation of expenditure means and ratios under a unit-level bivariate linear mixed model

Cites Work

• Statistical decision theory and Bayesian analysis. 2nd ed
• Bayesian prediction in linear models: Applications to small area estimation
• Empirical best linear unbiased and empirical Bayes prediction in multivariate small area estimation.
• That BLUP is a good thing: The estimation of random effects. With comments and a rejoinder by the author
• Small area estimation: an appraisal. With comments and a rejoinder by the authors
• On measures of uncertainty of empirical Bayes small-area estimators
• Approximations for Standard Errors of Estimators of Fixed and Random Effect in Mixed Linear Models
• Empirical Bayes Confidence Intervals Based on Bootstrap Samples
• Empirical Bayes Estimation of Finite Population Means from Complex Surveys
• Empirical Bayes Estimation in Finite Population Sampling
• Parametric Empirical Bayes Inference: Theory and Applications
• Robust Estimation of Mean Squared Error of Small Area Estimators
• The Estimation of the Mean Squared Error of Small-Area Estimators

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