Estimators for the inverse powers of a normal mean |
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| Authors: | Christopher S Withers Saralees Nadarajah |
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| Institution: | 1. Applied Mathematics Group, Industrial Research Limited, Lower Hutt, New Zealand;2. School of Mathematics, University of Manchester, Manchester M13 9PL, UK |
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| Abstract: | Given a sample from a normal population unbiased estimators are obtained for positive powers of the mean and estimators of almost exponentially small bias are obtained for negative powers of the mean. Simulation studies show superior performance of these estimators versus known ones. |
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| Keywords: | Bias reduction Normal Powers of the mean |
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