{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,10]],"date-time":"2024-09-10T12:43:56Z","timestamp":1725972236741},"reference-count":15,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2019,11,1]],"date-time":"2019-11-01T00:00:00Z","timestamp":1572566400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Applied Mathematics and Computation"],"published-print":{"date-parts":[[2019,11]]},"DOI":"10.1016\/j.amc.2019.05.014","type":"journal-article","created":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T03:08:41Z","timestamp":1559099321000},"page":"74-86","update-policy":"http:\/\/dx.doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":4,"special_numbering":"C","title":["On the computation and inversion of the cumulative noncentral beta distribution function"],"prefix":"10.1016","volume":"361","author":[{"given":"Amparo","family":"Gil","sequence":"first","affiliation":[]},{"given":"Javier","family":"Segura","sequence":"additional","affiliation":[]},{"given":"Nico M.","family":"Temme","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"issue":"3","key":"10.1016\/j.amc.2019.05.014_bib0001","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1007\/s11222-008-9061-3","article-title":"On the computation of the noncentral F and noncentral beta distribution","volume":"18","author":"Baharev","year":"2008","journal-title":"Stat. Comput."},{"issue":"2","key":"10.1016\/j.amc.2019.05.014_bib0002","doi-asserted-by":"crossref","first-page":"763","DOI":"10.1007\/s00180-016-0701-3","article-title":"Computing the noncentral-F distribution and the power of the F-test with guaranteed accuracy","volume":"32","author":"Baharev","year":"2017","journal-title":"Comput. Stat."},{"key":"10.1016\/j.amc.2019.05.014_bib0003","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1007\/BF01403675","article-title":"A note on the numerical solution of linear recurrence relations.","volume":"34","author":"Cash","year":"1980","journal-title":"Numer. Math."},{"issue":"2","key":"10.1016\/j.amc.2019.05.014_bib0004","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1080\/00031305.1995.10476151","article-title":"A note on the noncentral beta distribution function","volume":"49","author":"Chattamvelly","year":"1995","journal-title":"Am. Stat."},{"key":"10.1016\/j.amc.2019.05.014_bib0005","series-title":"Numerical Methods for Special Functions","author":"Gil","year":"2007"},{"key":"10.1016\/j.amc.2019.05.014_bib0006","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1016\/j.cpc.2015.01.004","article-title":"Gammachi: a package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral)","volume":"191","author":"Gil","year":"2015","journal-title":"Comput. Phys. Commun."},{"issue":"3","key":"10.1016\/j.amc.2019.05.014_bib0007","doi-asserted-by":"crossref","first-page":"505","DOI":"10.1137\/0906035","article-title":"Evaluation of the noncentral F-distribution by numerical contour integration","volume":"6","author":"Helstrom","year":"1985","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"10.1016\/j.amc.2019.05.014_bib0008","unstructured":"P. Kreuser, \u00dcber das Verhalten der Integrale homogener linearer Differenzengleichungen im Unendlichen. Dissertation, T\u00fcbingen, 48 pages (1914)."},{"key":"10.1016\/j.amc.2019.05.014_bib0009","series-title":"NIST Handbook of Mathematical Functions","first-page":"321","article-title":"Confluent hypergeometric functions","author":"Olde Daalhuis","year":"2010"},{"key":"10.1016\/j.amc.2019.05.014_bib0010","series-title":"NIST Handbook of Mathematical Functions","first-page":"175","article-title":"Incomplete gamma and related functions","author":"Paris","year":"2010"},{"issue":"5","key":"10.1016\/j.amc.2019.05.014_bib0011","doi-asserted-by":"crossref","first-page":"568","DOI":"10.1109\/TAES.1976.308257","article-title":"Computation of the noncentral F distribution (CFAR) detection","volume":"AES-12","author":"Robertson","year":"1976","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"issue":"1","key":"10.1016\/j.amc.2019.05.014_bib0012","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1007\/s00211-008-0175-5","article-title":"Numerically satisfactory solutions of Kummer recurrence relations","volume":"111","author":"Segura","year":"2008","journal-title":"Numer. Math."},{"key":"10.1016\/j.amc.2019.05.014_bib0013","series-title":"NIST Handbook of Mathematical Functions","first-page":"159","article-title":"Error functions, Dawson\u2019s and Fresnel integrals","author":"Temme","year":"2010"},{"key":"10.1016\/j.amc.2019.05.014_bib0014","article-title":"Asymptotic methods for integrals","volume":"6","author":"Temme","year":"2015"},{"issue":"1","key":"10.1016\/j.amc.2019.05.014_bib0015","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1137\/080722795","article-title":"Asymptotic inversion of the Erlang B formula","volume":"70","author":"van Leeuwaarden","year":"2009","journal-title":"SIAM J. Appl. Math."}],"container-title":["Applied Mathematics and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300319304072?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300319304072?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2024,7,18]],"date-time":"2024-07-18T20:01:45Z","timestamp":1721332905000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0096300319304072"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,11]]},"references-count":15,"alternative-id":["S0096300319304072"],"URL":"https:\/\/doi.org\/10.1016\/j.amc.2019.05.014","relation":{},"ISSN":["0096-3003"],"issn-type":[{"value":"0096-3003","type":"print"}],"subject":[],"published":{"date-parts":[[2019,11]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"On the computation and inversion of the cumulative noncentral beta distribution function","name":"articletitle","label":"Article Title"},{"value":"Applied Mathematics and Computation","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.amc.2019.05.014","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2019 Elsevier Inc. All rights reserved.","name":"copyright","label":"Copyright"}]}}