| A NOTE ON THE L_p COMPARISON BETWEEN THE BOOTSTRAP AND RANDOM WEIGHTING |
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| 作者姓名： | SHI Jian |
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| 作者单位： | Institute of Systems Science，Academia Sinica，Beijing 100080，China |
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| 摘 要： | ＡＮＯＴＥＯＮＴＨＥＬ＿ｐＣＯＭＰＡＲＩＳＯＮＢＥＴＷＥＥＮＴＨＥＢＯＯＴＳＴＲＡＰＡＮＤＲＡＮＤＯＭＷＥＩＧＨＴＩＮＧＳＨＩＪｉａｎ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｂｅｉｊｉｎｇ１０００８０，Ｃｈ...
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A NOTE ON THE L_p COMPARISON BETWEEN THE BOOTSTRAP AND RANDOM WEIGHTING |
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| SHI Jian.A NOTE ON THE L_p COMPARISON BETWEEN THE BOOTSTRAP AND RANDOM WEIGHTING[J].Journal of Systems Science and Complexity,1996(3). |
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| Authors: | SHI Jian |
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| Abstract: | In the literature of resampling methods, the bootstrap and random weighting are much more studied (the latter is also called Bayesian bootstrap). When they are applied to approximate distributions of pivotal statistics, the strong consistency is often discussed.However, one could not determine which is better becauae both of their accuracies are O (n/(loglogn)1/2). In this note, a comparison between them is investigated under the Lp norm. A result obtained shows that the bootstrap is relatively better. |
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| Keywords: | Bootstrap random weighting Edgeworth expansion Lp norm |
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