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On a criterion for evaluating an estimator |
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| Authors: | BS Duran TL Boullion PL Odell |
| Institution: | 1. Department of Mathematics , Texas Tech University , Lubbock, Texas, 79409;2. Department of Mathematics and Statistics , University of Southwestern Louisiana , Lafayette, Louisiana, 70504;3. Department of Mathematical Sciences , University of Texas at Dallas , Richardson, Texas, 75080 |
| Abstract: | A criterion for evaluating an estimator of the mean μ of a population is studied. The criterion considered is that the estimator be within a units of μ a large percentage (say, (1-β) 100%) of the time. This is referred to as the α -β criterion for estimating μ. A variation of this criterion is also studied. |
| Keywords: | estimator relative bias α-β criterion |