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Mathematics· 2026Q2

Rethinking Mean Square Error: Information, Generalized Estimation, and the James–Stein Paradox

Paul Vos

Short summary

The James–Stein estimator's paradox is resolved by comparing Mean Square Error (MSE) with Lambda-information, showing that Lambda-information, a family-aware criterion, is uniformly maximized by the score, unlike pointwise criteria like MSE.

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Field: Statistics and Probability

Statistics and ProbabilityMathematics