{"title":"快速选择招式的平均案例分析","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":"{\"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}","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}
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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