期刊名称：Sankhya. Series A, mathematical statistics and probability
印刷版ISSN：0976-836X
电子版ISSN：0976-8378
出版年度：2018
卷号：80
期号：1
页码：152-167
DOI：10.1007/s13171-017-0097-3
语种：English
出版社：Indian Statistical Institute
摘要：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.
关键词：Unbiasedness ; Bayes estimators ; Squared error loss ; Consistency
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