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Larry Brown’s Work on Admissibility

Many papers in the early part of Brown’s career focused on the 
admissibility or otherwise of estimators of a vector parameter. He established 
that inadmissibility of invariant estimators in three and higher dimensions is a 
general phenomenon, and found deep and beautiful connections between admissibility 
and other areas of mathematics. This review touches on several of 
his major contributions, with a focus on his celebrated 1971 paper connecting 
admissibility, recurrence and elliptic partial differential equations.