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math.ST2025
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.ST2024
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…
math.ST2021
Asymptotic Moments Matching to Uniformly Minimum Variance Unbiased Estimation under Ewens Sampling Formula
Masayo Y. Hirose, Shuhei Mano
The Ewens sampling formula is a distribution related to the random partition of a positive integer. In this study, we investigate the issue of non-existence solutions in parameter…