{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T01:05:07Z","timestamp":1742951107645,"version":"3.40.3"},"publisher-location":"Cham","reference-count":9,"publisher":"Springer Nature Switzerland","isbn-type":[{"type":"print","value":"9783031645280"},{"type":"electronic","value":"9783031645297"}],"license":[{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,1,1]],"date-time":"2024-01-01T00:00:00Z","timestamp":1704067200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024]]},"DOI":"10.1007\/978-3-031-64529-7_22","type":"book-chapter","created":{"date-parts":[[2024,7,16]],"date-time":"2024-07-16T15:21:35Z","timestamp":1721143295000},"page":"207-214","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Approximation of\u00a0an\u00a0Inverse of\u00a0the\u00a0Incomplete Beta Function"],"prefix":"10.1007","author":[{"given":"Michael B.","family":"Giles","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Casper","family":"Beentjes","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,7,17]]},"reference":[{"key":"22_CR1","unstructured":"Boost++ library.: Incomplete beta function inverses. Retrieved March 11, 2024 from https:\/\/live.boost.org\/doc\/libs\/1_48_0\/libs\/math\/doc\/sf_and_dist\/html\/math_toolkit\/special\/sf_beta\/ibeta_inv_function.html (2024)"},{"issue":"1","key":"22_CR2","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1007\/s11075-016-0139-2","volume":"74","author":"A Gil","year":"2017","unstructured":"Gil, A., Segura, J., Temme, N.: Efficient algorithms for the inversion of the cumulative central beta distribution. Num. Algorithms 74(1), 77\u201391 (2017). https:\/\/doi.org\/10.1007\/s11075-016-0139-2","journal-title":"Num. Algorithms"},{"key":"22_CR3","doi-asserted-by":"publisher","first-page":"270","DOI":"10.1553\/etna_vol52s270","volume":"52","author":"A Gil","year":"2020","unstructured":"Gil, A., Segura, J., Temme, N.: Asymptotic inversion of the binomial and negative binomial cumulative distribution functions. Electron. Trans. Numer. Anal. 52, 270\u2013280 (2020). https:\/\/doi.org\/10.1553\/etna_vol52s270","journal-title":"Electron. Trans. Numer. Anal."},{"key":"22_CR4","doi-asserted-by":"publisher","unstructured":"Giles, M.: Algorithm 955: Approximation of the inverse Poisson cumulative distribution function. ACM Trans.\u00a0Math.\u00a0Softw. 42(1) (2016). https:\/\/doi.org\/10.1145\/2699466","DOI":"10.1145\/2699466"},{"key":"22_CR5","unstructured":"GNU Scientific Library: Beta pinv\/qinv functions. Retrieved March 11, 2024 from https:\/\/www.gnu.org\/software\/gsl\/doc\/html\/randist.html#the-beta-distribution (2024)"},{"key":"22_CR6","doi-asserted-by":"publisher","unstructured":"Majumder, K., Bhattacharjee, G.: Algorithm as 64: Inverse of the incomplete beta function ratio. J. Royal Statistical Society. Series C (Applied Statistics) 22(3), 411\u2013414 (1973). https:\/\/doi.org\/10.2307\/2346798","DOI":"10.2307\/2346798"},{"key":"22_CR7","unstructured":"Mathlib library: Binomial quantile function. Retrieved March 11, 2024 from https:\/\/github.com\/SurajGupta\/r-source\/blob\/master\/src\/nmath\/qbinom.c (2024)"},{"issue":"132","key":"22_CR8","doi-asserted-by":"publisher","first-page":"1109","DOI":"10.2307\/2005750","volume":"29","author":"N Temme","year":"1975","unstructured":"Temme, N.: Uniform asymptotic expansions of the incomplete gamma functions and the incomplete beta function. Math. Comput. 29(132), 1109\u20131114 (1975). https:\/\/doi.org\/10.2307\/2005750","journal-title":"Math. Comput."},{"issue":"198","key":"22_CR9","doi-asserted-by":"publisher","first-page":"755","DOI":"10.1090\/S0025-5718-1992-1122079-8","volume":"58","author":"N Temme","year":"1992","unstructured":"Temme, N.: Asymptotic inversion of incomplete gamma functions. Math. Comput. 58(198), 755\u2013764 (1992). https:\/\/doi.org\/10.1090\/S0025-5718-1992-1122079-8","journal-title":"Math. Comput."}],"container-title":["Lecture Notes in Computer Science","Mathematical Software \u2013 ICMS 2024"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-64529-7_22","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,16]],"date-time":"2024-07-16T15:24:18Z","timestamp":1721143458000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-64529-7_22"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024]]},"ISBN":["9783031645280","9783031645297"],"references-count":9,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-64529-7_22","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2024]]},"assertion":[{"value":"17 July 2024","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ICMS","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Congress on Mathematical Software","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Durham","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"United Kingdom","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2024","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"22 July 2024","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"25 July 2024","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"8","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"icms2024","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/maths.dur.ac.uk\/icms2024\/ICMS2024.html","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}