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  • 标题:On the exact Berk-Jones statistics and their $p$-value calculation
  • 本地全文:下载
  • 作者:Amit Moscovich ; Boaz Nadler ; Clifford Spiegelman
  • 期刊名称:Electronic Journal of Statistics
  • 印刷版ISSN:1935-7524
  • 出版年度:2016
  • 卷号:10
  • 期号:2
  • 页码:2329-2354
  • DOI:10.1214/16-EJS1172
  • 语种:English
  • 出版社:Institute of Mathematical Statistics
  • 摘要:Continuous goodness-of-fit testing is a classical problem in statistics. Despite having low power for detecting deviations at the tail of a distribution, the most popular test is based on the Kolmogorov-Smirnov statistic. While similar variance-weighted statistics such as Anderson-Darling and the Higher Criticism statistic give more weight to tail deviations, as shown in various works, they still mishandle the extreme tails.
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