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文章基本信息

  • 标题:On the Tails of the Limiting QuickSort Density
  • 作者:James Allen Fill ; Wei-Chun Hung
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2018
  • 卷号:110
  • 页码:21:1-21:10
  • DOI:10.4230/LIPIcs.AofA.2018.21
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:We give upper and lower asymptotic bounds for the left tail and for the right tail of the continuous limiting QuickSort density f that are nearly matching in each tail. The bounds strengthen results from a paper of Svante Janson (2015) concerning the corresponding distribution function F. Furthermore, we obtain similar upper bounds on absolute values of derivatives of f of each order.
  • 关键词:Quicksort; density tails; asymptotic bounds; Landau-Kolmogorov inequality
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