3 problems

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Ma's hierarchical Bayes-type empirical Bayes confidence interval coverage conjecture
Consider Ma's empirical Bayes confidence interval, modified by replacing its empirical Bayes point estimator with a hierarchical Bayes-type point estimator. Let $\alpha$ denote the…
Conjectureopenconfidence-intervals empirical-bayes small-area-estimationarXiv posted 2 days ago
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Conjecture on the superiority of the third ordered predictor for normal effects and errors
Consider the simple small-area model with area random effects having distribution $F$ and sampling errors having distribution $G$ . Let…
Conjectureopenempirical-bayes order-statistics small-area-estimationarXiv posted 2 days ago
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Asymptotic square-root conjecture for the optimal shrinkage parameter
Let $m$ denote the number of areas, let $boldsymbol{theta}{( ,)}$ be the ordered random effects, and let $boldsymbol{theta}^{[2]}{( ,)}(boldsymbol{ ,})$ denote the predictor indexe…
Conjectureopenempirical-bayes shrinkage small-area-estimationarXiv posted 2 days ago

Ma's hierarchical Bayes-type empirical Bayes confidence interval coverage conjecture