Empirical Bayes rebiasing learns the bias distribution from paired noisy estimates to produce shorter calibrated intervals than full debiasing while maintaining coverage.
For every choice of λi, ˆθi,λi is unbiased sinceE[ ˜Z h i ] =E[ ¯Z h i ] =µ i
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Empirical Bayes Rebiasing
Empirical Bayes rebiasing learns the bias distribution from paired noisy estimates to produce shorter calibrated intervals than full debiasing while maintaining coverage.