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arXiv · 1611.07336

Asymptotic expansions for factorial moments of some distributions in the analysis of algorithms

Sumit Kumar Jha
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Abstract

We establish asymptotic expansions for factorial moments of following distributions: number of cycles in a random permutation, number of inversions in a random permutation, and number of comparisons used by the randomized quick sort algorithm.To achieve this we use singularity analysis of certain type of generating functions due to Flajolet and Odlyzko.

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Sumit Kumar Jha. 2016-11-22. Asymptotic expansions for factorial moments of some distributions in the analysis of algorithms. https://arxiv.org/abs/1611.07336

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