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On a Comparison of Several Competing Estimates of a Univariate Normal Mean by the Multiple Criteria Decision-Making Method |
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| Authors: | Montip Tiensuwan Satinee Lertprapai Bimal K Sinha |
| Institution: | 1. Department of Mathematics, Faculty of Science , Mahidol University , Bangkok , Thailand scmts@mahidol.ac.th;3. Department of Mathematics, Faculty of Science , Mahidol University , Bangkok , Thailand;4. Department of Mathematics and Statistics , University of Maryland , Baltimore County , Maryland , USA |
| Abstract: | In this article we consider the problem of estimation of the mean of a univariate normal population with an unknown variance when uncertain nonsample prior information about the mean is available. We compare four estimators of the mean, including pretest and shrinkage estimators. The performances of the estimators are compared based on the multiple criteria decision making (MCDM) procedure in order to find the best estimator. |
| Keywords: | Multiple criteria decision making Pretest estimate Shrinkage estimate Univariate normal mean |