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A METHOD TO APPROXIMATE DISTRIBUTIONSOF RELATED STATISTICS
引用本文:SHI Jian (Institute of Systems Science,Academia Sinica,Beijing 100080,China) ZHENG Zhongguo (Department of Probability and Statistics,Peking University,Beijing 100871,China). A METHOD TO APPROXIMATE DISTRIBUTIONSOF RELATED STATISTICS[J]. 系统科学与复杂性, 1997, 0(2)
作者姓名:SHI Jian (Institute of Systems Science  Academia Sinica  Beijing 100080  China) ZHENG Zhongguo (Department of Probability and Statistics  Peking University  Beijing 100871  China)
作者单位:SHI Jian (Institute of Systems Science,Academia Sinica,Beijing 100080,China) ZHENG Zhongguo (Department of Probability and Statistics,Peking University,Beijing 100871,China)
摘    要:1.IntroductionandResultSupposethereisand--dimensional(d21)randomsampleXi,fromsomeprobabilityspace(fi,I,P)to(R',B,),Xi4Fi,Fibeingunknown,15i5n,n21.Whatconcernsusisthedistributionalpropertyofsomep-dimensional(p21)statisticTi~Ti(XIt''IX.;FI1'',Fi)whichisus…


A METHOD TO APPROXIMATE DISTRIBUTIONS OF RELATED STATISTICS
SHI Jian. A METHOD TO APPROXIMATE DISTRIBUTIONS OF RELATED STATISTICS[J]. Journal of Systems Science and Complexity, 1997, 0(2)
Authors:SHI Jian
Abstract:In this paper we propose a method to approximate a class of statistics which admit Edgeworth expansions. The accuracy of the approximation is proved to be at the same optimal rate as the well known bootstrap and random weighting. In practice conditional distributions of uni-dimensional statistics constructed by our method can exactly be derived. Meanwhile, our method has a nice model robustness.
Keywords:Bootstrap   Edgeworth expansion   random weighting
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