6533b854fe1ef96bd12aec09

RESEARCH PRODUCT

Shrinkage efficiency bounds: An extension

Jan R. MagnusGiuseppe De Luca

subject

RiskStatistics and ProbabilityLower boundSettore SECS-P/05 - EconometriaShrinkage estimatorNormal location model

description

Hansen (2005) obtained the efficiency bound (the lowest achievable risk) in the p-dimensional normal location model when p≥3, generalizing an earlier result of Magnus (2002) for the one-dimensional case (p=1). The classes of estimators considered are, however, different in the two cases. We provide an alternative bound to Hansen's which is a more natural generalization of the one-dimensional case, and we compare the classes and the bounds.

https://doi.org/10.1080/03610926.2023.2173976