Average-case analysis of multiple Quickselect: An algorithm for finding order statistics

@inproceedings{Lent1996AveragecaseAO,
  title={Average-case analysis of multiple Quickselect: An algorithm for finding order statistics},
  author={Janice Lent and Hosam M. Mahmoud},
  year={1996}
}
We analyze multiple Quickselect (MQS), a variant of Quicksort designed to search for several order statistics simultaneously. We show that, when p is an integer fixed with respect to n, the size of the data set, MQS requires an average of (2Hp + 1)n - 8p ln n + O(1) comparisons to find p order statistics, where Hp is the pth harmonic number. 

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