{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,10]],"date-time":"2026-10-10T14:11:12Z","timestamp":1791641472666,"version":"4.3.4"},"reference-count":0,"publisher":"Oxford University Press (OUP)","issue":"3","license":[{"start":{"date-parts":[[1999,9,1]],"date-time":"1999-09-01T00:00:00Z","timestamp":936144000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1999,9,1]]},"abstract":"<jats:title>Summary<\/jats:title>\n               <jats:p>For a sample from a given distribution the difference of two order statistics and the Studentized quantile are statistics whose distribution is needed to obtain tests and confidence intervals for quantiles and quantile differences. This paper gives saddlepoint approximations for densities and saddlepoint approximations of the Lugannani\u2013Rice form for tail probabilities of these statistics. The relative errors of the approximations are n \u00a0\u22121 uniformly in a neighbourhood of the parameters and this uniformity is global if the densities are log-concave.<\/jats:p>","DOI":"10.1111\/1467-9868.00193","type":"journal-article","created":{"date-parts":[[2003,3,12]],"date-time":"2003-03-12T19:35:20Z","timestamp":1047497720000},"page":"563-577","source":"Crossref","is-referenced-by-count":4,"title":["Saddlepoint Approximations for the Difference of Order Statistics and Studentized Sample Quantiles"],"prefix":"10.1093","volume":"61","author":[{"given":"Chunsheng","family":"Ma","sequence":"first","affiliation":[{"name":"University of Sydney , Australia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"John","family":"Robinson","sequence":"additional","affiliation":[{"name":"University of Sydney , Australia"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2002,1,6]]},"container-title":["Journal of the Royal Statistical Society Series B: Statistical Methodology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1111%2F1467-9868.00193","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/academic.oup.com\/jrsssb\/article-pdf\/61\/3\/563\/49589623\/jrsssb_61_3_563.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/academic.oup.com\/jrsssb\/article-pdf\/61\/3\/563\/49589623\/jrsssb_61_3_563.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,22]],"date-time":"2023-03-22T06:57:18Z","timestamp":1679468238000},"score":1,"resource":{"primary":{"URL":"https:\/\/academic.oup.com\/jrsssb\/article\/61\/3\/563\/7083213"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,9,1]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2002,1,6]]},"published-print":{"date-parts":[[1999,9,1]]}},"URL":"https:\/\/doi.org\/10.1111\/1467-9868.00193","relation":{},"ISSN":["1369-7412","1467-9868"],"issn-type":[{"value":"1369-7412","type":"print"},{"value":"1467-9868","type":"electronic"}],"subject":[],"published-other":{"date-parts":[[1999,9]]},"published":{"date-parts":[[1999,9,1]]}}}