On the tails of the limiting QuickSort density
Probability
2018-08-03 v1 Data Structures and Algorithms
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.
Cite
@article{arxiv.1808.00643,
title = {On the tails of the limiting QuickSort density},
author = {James Allen Fill and Wei-Chun Hung},
journal= {arXiv preprint arXiv:1808.00643},
year = {2018}
}