منابع مشابه
Approximating the limiting Quicksort distribution
The limiting distribution of the normalized number of comparisons used by Quicksort to sort an array of n numbers is known to be the unique fixed point with zero mean of a certain distributional transformation S. We study the convergence to the limiting distribution of the sequence of distributions obtained by iterating the transformation S, beginning with a (nearly) arbitrary starting distribu...
متن کاملOn the tails of the limiting Quicksort distribution
We give asymptotics for the left and right tails of the limiting Quicksort distribution. The results agree with, but are less precise than, earlier non-rigorous results by Knessl and Spankowski.
متن کاملThe limiting distribution for the number of symbol comparisons used by QuickSort is nondegenerate (extended abstract)
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 perh...
متن کاملThe 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...
متن کاملAsymptotic Distribution for Random Median Quicksort
The first complete running time analysis of a stochastic divide and conquer algorithm was given for Quicksort, a sorting algorithm invented 1961 by Hoare. We analyse here the variant Random Median Quicksort. The analysis includes the expectation, the asymptotic distribution, the moments and exponential moments. The asymptotic distribution is characterized by a stochastic fixed point equation. T...
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ژورنال
عنوان ژورنال: RAIRO - Theoretical Informatics and Applications
سال: 1989
ISSN: 0988-3754,1290-385X
DOI: 10.1051/ita/1989230303351