The best EBLUP in the Fay-Herriot model

DOI10.1007/s10463-010-0281-xzbMath1284.62150OpenAlexW2012815897MaRDI QIDQ652610

Jiming Jiang, En-Tzu Tang

Publication date: 14 December 2011

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10463-010-0281-x

zbMATH Keywords

mean squared errorsmall area estimationempirical best linear unbiased predictionthird-order approximation

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Point estimation (62F10) Sampling theory, sample surveys (62D05) Bootstrap, jackknife and other resampling methods (62F40) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (1)

Small area estimation of socioeconomic indicators for sampled and unsampled domains

Cites Work

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• Linear and generalized linear mixed models and their applications.
• Simultaneous credible intervals for small area estimation problems
• A unified jackknife theory for empirical best prediction with \(M\)-estimation
• 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)
• Regression Analysis of Data from a Cluster Sample
• 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

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