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  • 标题:Evaluating Kolmogorov's Distribution
  • 本地全文:下载
  • 作者:George Marsaglia ; Wai Wan Tsang ; Jingbo Wang
  • 期刊名称:Journal of Statistical Software
  • 印刷版ISSN:1548-7660
  • 电子版ISSN:1548-7660
  • 出版年度:2003
  • 卷号:8
  • 期号:1
  • 页码:1-4
  • 语种:English
  • 出版社:University of California, Los Angeles
  • 摘要:Kolmogorov's goodness-of-fit measure, D n , for a sample CDF has consistently been set aside for methods such as the D + n or D - n of Smirnov, primarily, it seems, because of the difficulty of computing the distribution of D n . As far as we know, no easy way to compute that distribution has ever been provided in the 70+ years since Kolmogorov's fundamental paper. We provide one here, a C procedure that provides Pr(D n < d) with 13-15 digit accuracy for n ranging from 2 to at least 16000. We assess the (rather slow) approach to limiting form, and because computing time can become excessive for probabilities>.999 with n's of several thousand, we provide a quick approximation that gives accuracy to the 7th digit for such cases.
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