Admissibility of some preliminary test estimators for the mean of normal distribution |
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Authors: | Yasushi Nagata |
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Institution: | (1) Osaka University, Osaka, Japan |
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Abstract: | Summary Let a random variableX follow ap-variate normal distributionN
p
(θ, I
p
) with an unknownp×1 vector θ andp×p identity matrixI
p
. The admissibility of a preliminary test estimator using AIC (Akaike's Information Criterion) procedure will be shown ifp=1 and its inadmissibility will be shown ifp≧3 under the loss function based on Kullback-Leibler information measure. Furthermore the two sample case is also considered. |
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Keywords: | Preliminary test estimator Admissibility |
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