REN Zhe, CHEN Minghua. On the Edgeworth Expansion and the Bootstrap Approximation for a L-statistic[J]. Chinese Journal of Applied Probability and Statistics, 2000, 16(2): 113-124.
Citation: REN Zhe, CHEN Minghua. On the Edgeworth Expansion and the Bootstrap Approximation for a L-statistic[J]. Chinese Journal of Applied Probability and Statistics, 2000, 16(2): 113-124.

On the Edgeworth Expansion and the Bootstrap Approximation for a L-statistic

  • 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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