On the estimation of skewness of a statistic using the jackknife and the bootstrap |
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| Authors: | D Tu L Zhang |
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| Institution: | 1. Department of Mathematics, University of Ottawa, KIN 6N5, Ottawa, Ontario, Canada
2. Department of Mathematics and Natural Sciences, Northern State University, SD 57401, Aberdeen, U. S. A.
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| Abstract: | The simple negative jackknife skewness estimate of Schemper (1987) is modified to be consistent for a class of differentiable functional statistics. Monte-Carlo simulations are used to compare the modified astimate with Schemper's estimate, Beran's positive jackknife estimate and bootstrap estimate for moderate and small size samples. |
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