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2019 On the tails of the limiting QuickSort density
James Allen Fill, Wei-Chun Hung
Electron. Commun. Probab. 24: 1-11 (2019). DOI: 10.1214/19-ECP213

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.

Citation

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James Allen Fill. Wei-Chun Hung. "On the tails of the limiting QuickSort density." Electron. Commun. Probab. 24 1 - 11, 2019. https://doi.org/10.1214/19-ECP213

Information

Received: 2 August 2018; Accepted: 19 January 2019; Published: 2019
First available in Project Euclid: 14 February 2019

zbMATH: 07023498
MathSciNet: MR3916339
Digital Object Identifier: 10.1214/19-ECP213

Subjects:
Primary: 68P10
Secondary: 60C05, 60E05

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