{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,11,6]],"date-time":"2026-11-06T07:01:03Z","timestamp":1793948463746,"version":"4.8.0"},"reference-count":0,"publisher":"Cambridge University Press (CUP)","issue":"4","license":[{"start":{"date-parts":[[2002,5,17]],"date-time":"2002-05-17T00:00:00Z","timestamp":1021593600000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Econom. Theory"],"published-print":{"date-parts":[[2002,8]]},"abstract":"<jats:p>This paper considers the problem of choosing the number of \nbootstrap repetitions <jats:italic>B<\/jats:italic> to use with the \n<jats:italic>BC<\/jats:italic><jats:sub><jats:italic>a<\/jats:italic><\/jats:sub> bootstrap confidence intervals \nintroduced by Efron (1987, <jats:italic>Journal of the American Statistical \nAssociation<\/jats:italic> 82, 171\u2013200). Because the simulated random \nvariables are ancillary, we seek a choice of <jats:italic>B<\/jats:italic> that \nyields a confidence interval that is close to the ideal bootstrap \nconfidence interval for which <jats:italic>B<\/jats:italic> = \u221e. We specify a \nthree-step method of choosing <jats:italic>B<\/jats:italic> that ensures that the \nlower and upper lengths of the confidence interval deviate from \nthose of the ideal bootstrap confidence interval by at most a small \npercentage with high probability.<\/jats:p>","DOI":"10.1017\/s0266466602184088","type":"journal-article","created":{"date-parts":[[2002,11,14]],"date-time":"2002-11-14T22:02:47Z","timestamp":1037311367000},"page":"962-984","source":"Crossref","is-referenced-by-count":38,"title":["ON THE NUMBER OF BOOTSTRAP REPETITIONS FOR <i>BC<\/i><sub><i>a<\/i><\/sub> CONFIDENCE INTERVALS"],"prefix":"10.1017","volume":"18","author":[{"given":"Donald W.K.","family":"Andrews","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Moshe","family":"Buchinsky","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2002,5,17]]},"container-title":["Econometric Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0266466602184088","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,1]],"date-time":"2019-04-01T19:28:26Z","timestamp":1554146906000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0266466602184088\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,5,17]]},"references-count":0,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2002,8]]}},"alternative-id":["S0266466602184088"],"URL":"https:\/\/doi.org\/10.1017\/s0266466602184088","relation":{},"ISSN":["0266-4666","1469-4360"],"issn-type":[{"value":"0266-4666","type":"print"},{"value":"1469-4360","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,5,17]]}}}