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CORR
2012
Springer

The limiting distribution for the number of symbol comparisons used by QuickSort is nondegenerate (extended abstract)

8 years 5 months ago
The limiting distribution for the number of symbol comparisons used by QuickSort is nondegenerate (extended abstract)
erate (Extended Abstract) Patrick Bindjeme1† and James Allen Fill1 1 Department of Applied Mathematics and Statistics, The Johns Hopkins University, 34th and Charles Streets, Baltimore, MD 21218-2682 USA received 31 Jan 2012, revised 23rd March 2012, accepted tomorrow. In a continuous-time setting, Fill (2012) proved, for a large class of probabilistic sources, that the number of symbol comparisons used by QuickSort, when centered by subtracting the mean and scaled by dividing by time, has a limiting distribution, but proved little about that limiting random variable Y —not even that it is nondegenerate. We establish the nondegeneracy of Y . The proof is perhaps surprisingly difficult.
Patrick Bindjeme, James Allen Fill
Added 20 Apr 2012
Updated 20 Apr 2012
Type Journal
Year 2012
Where CORR
Authors Patrick Bindjeme, James Allen Fill
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