Kth Order Statistic: Difference between revisions
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[[File:kth Order Statistic - Time.png|1000px]] | [[File:kth Order Statistic - Time.png|1000px]] | ||
== References/Citation == | == References/Citation == | ||
https://11011110.github.io/blog/2007/10/09/blum-style-analysis-of.html | https://11011110.github.io/blog/2007/10/09/blum-style-analysis-of.html | ||
Latest revision as of 09:04, 28 April 2023
Description
An algorithm seeks to find the $k^{th}$ order statistic of a statistical sample, or the $k^{th}$-smallest value in a list or array.
Parameters
$n$: size of list
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| Naive Selection | 1940 | $O(n \log n)$ | $O({1})$ (in-situ) | Exact | Deterministic | |
| Hoare's Selection Algorithm (QuickSelect) | 1961 | $O(n^{2})$ | $O({1})$ (in-situ) | Exact | Deterministic | Time |
| Hashing | 1940 | $O(n)$ | $O(n)$ | Exact | Deterministic |
Time Complexity Graph
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References/Citation
https://11011110.github.io/blog/2007/10/09/blum-style-analysis-of.html