Article
Title: On Being Bayes and Unbiasedness
Author(s): Siamak Noorbaloochi and Glen Meeden
Issue: Volume 80 Series A Part 1 Year 2018
Pages: 152 -- 167
Abstract
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.