On Measuring Uncertainty of Benchmarked Predictors with Application to Disease Risk Estimate

DOI10.1111/SJOS.12040zbMath1416.62067OpenAlexW2042630641MaRDI QIDQ5418633

Mana Hasukawa, Kunihiko Takahashi, Tatsuya Kubokawa

Publication date: 26 May 2014

Published in: Scandinavian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/sjos.12040

zbMATH Keywords

mean squared errorempirical Bayesasymptotic approximationnatural exponential familysecond-order approximationbenchmarkingsmall area estimationestimating equationmortality ratesparametric bootstrapgeneralized linear mixed modelPoisson-gamma modelbest linear unbiased predictorconstrained Bayesbinomial-beta model

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Sampling theory, sample surveys (62D05) Bootstrap, jackknife and other resampling methods (62F40) Empirical decision procedures; empirical Bayes procedures (62C12)

Related Items (6)

On conditional prediction errors in mixed models with application to small area estimation ⋮ Small area estimation with mixed models: a review ⋮ Benchmarked linear shrinkage prediction in the Fay–Herriot small area model ⋮ Small area estimation with spatially varying natural exponential families ⋮ Unnamed Item ⋮ On Measuring Uncertainty of Benchmarked Predictors with Application to Disease Risk Estimate

Cites Work

• Unnamed Item
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• Natural exponential families with quadratic variance functions: Statistical theory
• Natural exponential families with quadratic variance functions
• Some results on constrained Bayes estimators.
• Bayesian benchmarking with applications to small area estimation
• An extension of quasi-likelihood estimation
• On measures of uncertainty of empirical Bayes small-area estimators
• Estimation of Cancer Mortality Rates: A Bayesian Analysis of Small Frequencies
• Constrained Bayes Estimation With Applications
• Approximate Inference in Generalized Linear Mixed Models
• Bias correction in generalised linear mixed models with a single component of dispersion
• On Measuring Uncertainty of Small Area Estimators with Higher Order Accuracy
• Empirical Bayes Confidence Intervals for Means of Natural Exponential Family‐Quadratic Variance Function Distributions with Application to Small Area Estimation
• On Measuring Uncertainty of Benchmarked Predictors with Application to Disease Risk Estimate
• Small-area estimation based on natural exponential family quadratic variance function models and survey weights
• The Estimation of the Mean Squared Error of Small-Area Estimators

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