L一统计量的Edgeworth展开和Bootstrap副近
On the Edgeworth Expansion and the Bootstrap Approximation for a L-statistic
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摘要: 文1讨论了L一统计量的一种能达到O(1 / \sqrtn)精确性的 Bootstrap 副近，本文则在适当条件下，证明了上述Bootstrap副近能达到精确性o(1 / \sqrtn)，并给出了L一统计量的一阶 Edgeworth 展开的估计。Abstract: A kind of bootstraping method for a L-statistic which can achieve the approximate accuracy of O(1 / \sqrtn) is discussed in paper 1. Ill this paper, we give one-term Edgeworth expansion estimate for a L-statistic and show that the Bootstrap approximation given by paper l can achieve the approximate accuracy of o(1 / \sqrtn) under suitable conditions.
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