On estimating the mean of the selected normal population in two-stage adaptive designs |
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Authors: | Xiaomin Lu Anqi Sun Samuel S Wu |
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Institution: | 1. Department of Biostatistics, University of Florida, Gainesville, FL 32610, United States;2. Capital One Bank, 1680 Capital One Drive, Ste 438A, McLean, VA 22102, United States |
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Abstract: | Adaptive design is widely used in clinical trials. In this paper, we consider the problem of estimating the mean of the selected normal population in two-stage adaptive designs. Under the LINEX and L2 loss functions, admissibility and minimax results are derived for some location invariant estimators of the selected normal mean. The naive sample mean estimator is shown to be inadmissible under the LINEX loss function and to be not minimax under both loss functions. |
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Keywords: | LINEX loss function Admissible estimators Mean of the selected population Two-stage adaptive design |
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