The limiting distribution for the number of symbol comparisons used by QuickSort is nondegenerate (extended abstract)
نویسندگان
چکیده
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.
منابع مشابه
The Limiting Distribution for the Number of Symbol Comparisons Used by Quicksort Is Nondegenerate
In a continuous-time setting, Fill [2] 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...
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عنوان ژورنال:
- CoRR
دوره abs/1201.6444 شماره
صفحات -
تاریخ انتشار 2012