CONSISTENCY OF THE GENERALIZED BOOTSTRAP FOR DEGENERATE U-STATISTICS
成果类型：
Article
署名作者：
HUSKOVA, M; JANSSEN, P
署名单位：
Hasselt University
刊物名称：
ANNALS OF STATISTICS
ISSN/ISSBN：
0090-5364
DOI：
10.1214/aos/1176349399
发表日期：
1993
页码：
1811-1823
关键词：
摘要：
A generalized bootstrap version is defined for degenerate U-statistics. Our main result shows that the (conditional) distribution function of the bootstrapped degenerate U-statistic provides a consistent estimator for the unknown distribution function of the degenerate U-statistic under consideration. For the proof we rely on a rank statistic approach.