Bootstrap Approximation to Distributions of Finite Population U-statistics

被引：0
作者：
Mindaugas Bloznelis
机构：
[1] Institute of Mathematics and Informatics,
[2] Vilnius University,undefined
来源：
Acta Applicandae Mathematicae | 2007年 / 96卷
关键词：
Bootstrap; Finite population; U-statistic; Sampling without replacement; 62E20; 62D05; 62F12; 62F40; 62G20; 62G09;
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摘要：
We show that the without replacement bootstrap of Booth, Butler and Hall (J. Am. Stat. Assoc.89, 1282–1289, 1994) provides second order correct approximation to the distribution function of a Studentized U-statistic based on simple random sample drawn without replacement. In order to achieve similar approximation accuracy for the bootstrap procedure due to Bickel and Freedman (Ann. Stat.12, 470–482, 1984) and Chao and Lo (Sankhya Ser. A47, 399–405, 1985) we introduce randomized adjustments to the resampling fraction.
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页码：71 / 86
页数：15
相关论文
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