{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,10]],"date-time":"2026-03-10T23:19:04Z","timestamp":1773184744791,"version":"3.50.1"},"reference-count":0,"publisher":"Cambridge University Press (CUP)","issue":"4","license":[{"start":{"date-parts":[[2002,9,6]],"date-time":"2002-09-06T00:00:00Z","timestamp":1031270400000},"content-version":"unspecified","delay-in-days":67,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Combinator. Probab. Comp."],"published-print":{"date-parts":[[2002,7]]},"abstract":"<jats:p>We show that the limiting distribution of the number of comparisons used by Hoare's \nquickselect algorithm when given a random permutation of <jats:italic>n<\/jats:italic> elements for finding the \n<jats:italic>m<\/jats:italic>th-smallest element, where <jats:italic>m<\/jats:italic> = <jats:italic>o<\/jats:italic>(<jats:italic>n<\/jats:italic>), is the Dickman function. The limiting distribution \nof the number of exchanges is also derived.<\/jats:p>","DOI":"10.1017\/s0963548302005138","type":"journal-article","created":{"date-parts":[[2002,9,20]],"date-time":"2002-09-20T12:46:33Z","timestamp":1032525993000},"page":"353-371","source":"Crossref","is-referenced-by-count":49,"title":["Quickselect and the Dickman Function"],"prefix":"10.1017","volume":"11","author":[{"given":"HSIEN-KUEI","family":"HWANG","sequence":"first","affiliation":[]},{"given":"TSUNG-HSI","family":"TSAI","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2002,9,6]]},"container-title":["Combinatorics, Probability and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0963548302005138","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,2]],"date-time":"2019-04-02T19:08:36Z","timestamp":1554232116000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0963548302005138\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,7]]},"references-count":0,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2002,7]]}},"alternative-id":["S0963548302005138"],"URL":"https:\/\/doi.org\/10.1017\/s0963548302005138","relation":{},"ISSN":["0963-5483","1469-2163"],"issn-type":[{"value":"0963-5483","type":"print"},{"value":"1469-2163","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,7]]}}}