estimation theory 1fisher information 1generalized estimators 1information criteria 1james-stein estimator 1mean square error 1
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math.ST2026★ 1 cited
Rethinking Mean Square Error: Information, Generalized Estimation, and the James-Stein Paradox
Paul W. Vos
The paper compares mean square error with a newer ℓ‑information criterion for evaluating estimators, showing that while no pointwise risk like MSE has a uniformly optimal estimator…
stat.ME2025
Semi-tail Units: A Universal Scale for Test Statistics and Efficiency
Paul W. Vos
We introduce - and -values as quantile-based standardizations that are particularly suited for hypothesis testing. Unlike p-values, which express tail probabilities, -val…