Selection of Prior for the Variance Component and Approximations for Posterior Moments in the Fay-Herriot Model

DOI10.1080/08898480.2014.883879zbMath1409.62038OpenAlexW2012278938MaRDI QIDQ4628544

Santanu Pramanik

Publication date: 14 March 2019

Published in: Mathematical Population Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/08898480.2014.883879

zbMATH Keywords

Laplace approximationsmall area estimationhierarchical Bayesresidual maximum likelihoodadjustment for density maximization (ADM)

Mathematics Subject Classification ID

Sampling theory, sample surveys (62D05)

Uses Software

• R
• OpenBUGS
• saery

Cites Work

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• Estimating random effects via adjustment for density maximization
• Linear and generalized linear mixed models and their applications.
• Bootstrap for estimating the MSE of the spatial EBLUP
• Small area estimation: the EBLUP estimator based on spatially correlated random area effects
• Statistical decision theory and Bayesian analysis. 2nd ed
• Empirical Bayes estimation of several population means and variances under random sampling variances model
• Empirical Bayes estimation of median income of four-person families by state using time series and cross-sectional data
• On propriety of posterior distributions of variance components in small area estimation
• REML estimation: Asymptotic behavior and related topics
• An adjusted maximum likelihood method for solving small area estimation problems
• Small area estimation with spatio-temporal Fay-Herriot models
• Mixed model prediction and small area estimation. (With comments of P. Hall, D. Morales, C. N. Morris, J. N. K. Rao, and J. L. Eltinge)
• Accurate Approximations for Posterior Moments and Marginal Densities
• Regression Analysis of Data from a Cluster Sample
• Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems
• Laplace Approximations for Posterior Expectations When the Mode Occurs at the Boundary of the Parameter Space
• Hierarchical Poisson Regression Modeling
• Hierarchical bayes quality measurement plan
• Small‐area estimation by combining time‐series and cross‐sectional data
• Fully Exponential Laplace Approximations to Expectations and Variances of Nonpositive Functions
• On measuring the variability of small area estimators under a basic area level model
• The Estimation of the Mean Squared Error of Small-Area Estimators
• Introduction to variance estimation

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