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An Inadmissible Best Invariant Estimator: The I.I.D. Case

Martin Fox

The Annals of Statistics · 1981 · Volume 9 · Issue 5

DOI: 10.1214/aos/1176345594

Abstract

An example is presented of an inadmissible best invariant point estimator of a location parameter. The extra moment condition of Brown and Fox (1974b) is violated. The example involves two independent, identically distributed observations, an improvement over Perng's (1970) example.

Keywords

62C15, 62F10, best invariant, Inadmissible, location parameter

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