{"title":"Average-case Analysis of Moves in Quick Select","authors":"H. Mahmoud","doi":"10.1137/1.9781611972993.6","DOIUrl":null,"url":null,"abstract":"We investigate the average number of moves made by Quick Select (a variant of Quick Sort for finding order statistics) to find an element with a randomly selected rank. This kind of grand average provides smoothing over all individual cases of a specific fixed order statistic. The variance of the number of moves involves intricate dependencies, and we only give reasonably tight bounds.","PeriodicalId":340112,"journal":{"name":"Workshop on Analytic Algorithmics and Combinatorics","volume":"52 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Workshop on Analytic Algorithmics and Combinatorics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1137/1.9781611972993.6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
We investigate the average number of moves made by Quick Select (a variant of Quick Sort for finding order statistics) to find an element with a randomly selected rank. This kind of grand average provides smoothing over all individual cases of a specific fixed order statistic. The variance of the number of moves involves intricate dependencies, and we only give reasonably tight bounds.
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