A note on admissibility of the maximum likelihood estimator for a bounded normal mean
In estimating a bounded normal mean, it is known that the maximum likelihood estimator is inadmissible for squared error loss function. In this paper, we discuss the admissibility for other loss functions. We prove that the maximum likelihood estimator is admissible under absolute error loss.
Year of publication: |
1997
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Authors: | Iwasa, Manabu ; Moritani, Yoshiya |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 32.1997, 1, p. 99-105
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Publisher: |
Elsevier |
Keywords: | Absolute error loss Admissibility Bayes estimator Bounded normal mean Integral equation Restricted maximum likelihood estimator |
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