Small area estimation with mixed models: a review
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Publication:830271
DOI10.1007/s42081-020-00076-xzbMath1466.62244OpenAlexW3014534970MaRDI QIDQ830271
Tatsuya Kubokawa, Shonosuke Sugasawa
Publication date: 7 May 2021
Published in: Japanese Journal of Statistics and Data Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s42081-020-00076-x
mean squared errorempirical Bayesmaximum likelihood estimatorshrinkagehierarchical Bayeslinear mixed modelFay-Herriot modelbest linear unbiased predictornested error regression model
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Cites Work
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- Small area estimation when auxiliary information is measured with error
- Small area estimation of poverty indicators
- Empirical best prediction under a nested error model with log transformation
- Fence methods for mixed model selection
- A modified family of power transformations
- Prediction in heteroscedastic nested error regression models with random dispersions
- Model selection in linear mixed models
- New important developments in small area estimation
- On conditional prediction errors in mixed models with application to small area estimation
- Estimation of mean squared error of model-based estimators of small area means under a nested error linear regression model
- A new adjusted maximum likelihood method for the Fay-Herriot small area model
- Small area estimation of general parameters with application to poverty indicators: a hierarchical Bayes approach
- Nonparametric estimation of mean-squared prediction error in nested-error regression models
- A second-order efficient empirical Bayes confidence interval
- Parametric bootstrap approximation to the distribution of EBLUP and related prediction intervals in linear mixed models
- Small area estimation: the EBLUP estimator based on spatially correlated random area effects
- Estimating the dimension of a model
- Empirical Bayes prediction intervals in a normal regression model: higher order asymptotics.
- Small area estimation: an appraisal. With comments and a rejoinder by the authors
- Small area estimation via unmatched sampling and linking models
- Transforming response values in small area prediction
- Non-area-specific adjustment factor for second-order efficient empirical Bayes confidence interval
- A generalised semiparametric Bayesian Fay-Herriot model for small area estimation shrinking both means and variances
- A unified Monte-Carlo jackknife for small area estimation after model selection
- On measures of uncertainty of empirical Bayes small-area estimators
- A unified jackknife theory for empirical best prediction with \(M\)-estimation
- Mean squared error of empirical predictor.
- Robust hierarchical Bayes estimation of small area characteristics in the presence of covariates and outliers
- Small area estimation using skew normal models
- Small area estimation of general parameters: Bayesian transformed spatial prediction approach
- An adjusted maximum likelihood method for solving small area estimation problems
- Observed best selective prediction in small area estimation
- Empirical Bayes methods in nested error regression models with skew-normal errors
- A class of general adjusted maximum likelihood methods for desirable mean squared error estimation of EBLUP under the Fay-Herriot small area model
- Parametric transformed Fay-Herriot model for small area estimation
- Small area estimation with spatio-temporal Fay-Herriot models
- Bayesian estimators in uncertain nested error regression models
- Spike and slab variable selection: frequentist and Bayesian strategies
- Estimating variance of random effects to solve multiple problems simultaneously
- Dominance properties of constrained Bayes and empirical Bayes estimators
- Corrected empirical Bayes confidence intervals in nested error regression models
- Outlier Robust Small-Area Estimation Under Spatial Correlation
- Small area estimation via heteroscedastic nested-error regression
- Controlling the bias of robust small-area estimators
- Prediction Error of Small Area Predictors Shrinking Both Means and Variances
- Small Area Estimation
- Bayesian Estimators for Small Area Models Shrinking Both Means and Variances
- Empirical likelihood for small area estimation
- Best Predictive Small Area Estimation
- Modeling Random Effects Using Global–Local Shrinkage Priors in Small Area Estimation
- Small area estimation using unmatched sampling and linking models
- Influence functions and robust Bayes and empirical Bayes small area estimation
- A Class of Decomposable Poverty Measures
- Adaptively transformed mixed‐model prediction of general finite‐population parameters
- On Parametric Bootstrap Methods for Small Area Prediction
- Mean-Squared Error Estimation in Transformed Fay–Herriot Models
- Empirical and Hierarchical Bayesian Estimation in Finite Population Sampling under Structural Measurement Error Models
- Benchmarked empirical Bayes methods in multiplicative area-level models with risk evaluation
- Empirical Bayes Estimation of Small Area Means under a Nested Error Linear Regression Model with Measurement Errors in the Covariates
- The horseshoe estimator for sparse signals
- Non-Parametric Small Area Estimation Using Penalized Spline Regression
- Jackknife estimation of mean squared error of small area predictors in nonlinear mixed models
- Robust small area estimation
- Standard Errors of Prediction in Generalized Linear Mixed Models
- Generalized Linear Models for Small-Area Estimation
- 394: The Analysis of Binary Responses from Toxicological Experiments Involving Reproduction and Teratogenicity
- On an Asymptotic Theory of Conditional and Unconditional Coverage Probabilities of Empirical Bayes Confidence Intervals
- The Mean Squared Error of Small Area Predictors Constructed With Estimated Area Variances
- Small area estimation of complex parameters under unit‐level models with skew‐normal errors
- Mixed Models
- Robust Estimation of Mean Squared Error of Small Area Estimators
- Conditional Akaike information under covariate shift with application to small area estimation
- Robust empirical Bayes small area estimation with density power divergence
- Hierarchical Bayes small‐area estimation with an unknown link function
- Bayesian Estimators for Small Area Models when Auxiliary Information is Measured with Error
- Model Selection by Testing for the Presence of Small-Area Effects, and Application to Area-Level Data
- Heteroscedastic nested error regression models with variance functions
- On measuring the variability of small area estimators under a basic area level model
- Empirical Uncertain Bayes Methods in Area‐level Models
- Small Area Estimation With Uncertain Random Effects
- Robust small area estimation under semi‐parametric mixed models
- On Measuring Uncertainty of Benchmarked Predictors with Application to Disease Risk Estimate
- Accurate Confidence Interval Estimation of Small Area Parameters Under the Fay–Herriot Model
- Small-area estimation based on natural exponential family quadratic variance function models and survey weights
- Conditional Akaike information for mixed-effects models
- Hierarchical Bayesian small area estimation for circular data
- Outlier Robust Small Area Estimation
- The Estimation of the Mean Squared Error of Small-Area Estimators
- Estimation of Finite Population Domain Means
- Empirical best prediction for small area inference with binary data
- A new look at the statistical model identification
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