Open Access
2000 Perfect Simulation from the Quicksort Limit Distribution
Luc Devroye, James Fill, Ralph Neininger
Author Affiliations +
Electron. Commun. Probab. 5: 95-99 (2000). DOI: 10.1214/ECP.v5-1024

Abstract

The weak limit of the normalized number of comparisons needed by the Quicksort algorithm to sort n randomly permuted items is known to be determined implicitly by a distributional fixed-point equation. We give an algorithm for perfect random variate generation from this distribution.

Citation

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Luc Devroye. James Fill. Ralph Neininger. "Perfect Simulation from the Quicksort Limit Distribution." Electron. Commun. Probab. 5 95 - 99, 2000. https://doi.org/10.1214/ECP.v5-1024

Information

Accepted: 5 June 2000; Published: 2000
First available in Project Euclid: 2 March 2016

zbMATH: 0958.65012
MathSciNet: MR1781844
Digital Object Identifier: 10.1214/ECP.v5-1024

Subjects:
Primary: 65C10
Secondary: 11K45 , 65C05 , 68U20

Keywords: fixed-point equation , Monte Carlo method , perfect simulation , QuickSort , random variate generation , rejection method , simulation

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