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arXiv · 1808.00643

On the tails of the limiting QuickSort density

James Allen Fill·Wei-Chun Hung
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Abstract

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.

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James Allen Fill, Wei-Chun Hung. 2018-08-02. On the tails of the limiting QuickSort density. https://arxiv.org/abs/1808.00643

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