On Being Bayes and Unbiasedness: Bayes and Unbiasedness

Siamak Noorbaloochi, Glen Meeden

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Assuming squared error loss, we show that finding unbiased estimators and Bayes estimators can be treated as using a pair of linear operators that operate between two Hilbert spaces. We note that these integral operators are adjoint and then investigate some consequences of this fact. An extension to loss functions that can be defined via an inner product is also presented.

Original languageEnglish (US)
Pages (from-to)1-16
Number of pages16
JournalSankhya A
StatePublished - Jan 1 2018


  • Bayes estimators
  • Consistency
  • Squared error loss
  • Unbiasedness

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