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math.ST2018
Corrected Empirical Bayes Confidence Region in a Multivariate Fay-Herriot Model
Tsubasa Ito, Tatsuya Kubokawa
In the small area estimation, the empirical best linear unbiased predictor (EBLUP) in the linear mixed model is useful because it gives a stable estimate for a mean of a smallarea.…
math.ST2018★ 1 cited
On Measuring the Variability of Small Area Estimators in a Multivariate Fay-Herriot Model
Tsubasa Ito, Tatsuya Kubokawa
This paper is concerned with the small area estimation in the multivariate Fay-Herriot model where covariance matrix of random effects are fully unknown. The covariance matrix is e…
math.ST2018★ 1 cited
Empirical Best Linear Unbiased Predictors in Multivariate Nested-Error Regression Models
Tsubasa Ito, Tatsuya Kubokawa
For analyzing unit-level multivariate data in small area estimation, we consider the multivariate nested error regression model (MNER) and provide the empirical best linear unbiase…