{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,11,4]],"date-time":"2026-11-04T17:39:28Z","timestamp":1793813968485,"version":"4.6.1"},"reference-count":0,"publisher":"Institute of Mathematical Statistics","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ann. Statist."],"published-print":{"date-parts":[[1981,5,1]]},"abstract":"<jats:p>Tukey's jackknife estimate of variance for a statistic $S(X_1, X_2, \\cdots, X_n)$ which is a symmetric function of i.i.d. random variables $X_i$, is investigated using an ANOVA-like decomposition of $S$. It is shown that the jackknife variance estimate tends always to be biased upwards, a theorem to this effect being proved for the natural jackknife estimate of $\\operatorname{Var} S(X_1, X_2, \\cdots, X_{n-1})$ based on $X_1, X_2, \\cdots, X_n$.<\/jats:p>","DOI":"10.1214\/aos\/1176345462","type":"journal-article","created":{"date-parts":[[2007,12,17]],"date-time":"2007-12-17T15:27:35Z","timestamp":1197905255000},"page":"586-596","source":"Crossref","is-referenced-by-count":1082,"title":["The Jackknife Estimate of Variance"],"prefix":"10.1214","volume":"9","author":[{"given":"B.","family":"Efron","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"C.","family":"Stein","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"108","container-title":["The Annals of Statistics"],"original-title":[],"link":[{"URL":"http:\/\/projecteuclid.org\/download\/pdf_1\/euclid.aos\/1176345462","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,10,16]],"date-time":"2026-10-16T18:19:55Z","timestamp":1792174795000},"score":1,"resource":{"primary":{"URL":"https:\/\/projecteuclid.org\/journals\/annals-of-statistics\/volume-9\/issue-3\/The-Jackknife-Estimate-of-Variance\/10.1214\/aos\/1176345462.full"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1981,5,1]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[1981,5,1]]}},"URL":"https:\/\/doi.org\/10.1214\/aos\/1176345462","relation":{},"ISSN":["0090-5364","2168-8966"],"issn-type":[{"value":"0090-5364","type":"print"},{"value":"2168-8966","type":"electronic"}],"subject":[],"published":{"date-parts":[[1981,5,1]]}}}