文章基本信息

标题：On the tails of the limiting QuickSort density
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作者：James Allen Fill ; Wei-Chun Hung
期刊名称：Electronic Communications in Probability
印刷版ISSN：1083-589X
出版年度：2019
卷号：24
DOI：10.1214/19-ECP213
语种：English
出版社：Electronic Communications in Probability
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 bounds on absolute values of derivatives of $f$ of each order.