3 papers
math.ST2026
Reconciliation of Bayes and empirical Bayes interval estimation with application to small area estimation
Aditi Sen, Masayo Y. Hirose, Partha Lahiri
Multi-level normal hierarchical models, also interpreted as mixed effects models, play an important role in developing statistical theory in multi-parameter estimation for a wide r…
math.ST2026
Impact of existence and nonexistence of pivot on the coverage of empirical best linear prediction intervals for small areas
Yuting Chen, Masayo Y. Hirose, Partha Lahiri
We advance the theory of parametric bootstrap in constructing highly efficient empirical best (EB) prediction intervals of small area means. The coverage error of such a prediction…
stat.ME2025
Bias Corrected Variance Stabilizing Transformation for Small Area Estimation
Masayo Y. Hirose, Malay Ghosh, Mayumi Oka
Small area estimation models are typically based on the normality assumption of response variables. More recently, attention has been drawn to the transformation of the original va…