{"id":"https://openalex.org/W4402414077","doi":"https://doi.org/10.1007/s11075-024-01931-8","title":"A numerical algorithm for the computation of the noncentral beta distribution function","display_name":"A numerical algorithm for the computation of the noncentral beta distribution function","publication_year":2024,"publication_date":"2024-09-10","ids":{"openalex":"https://openalex.org/W4402414077","doi":"https://doi.org/10.1007/s11075-024-01931-8"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-024-01931-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-024-01931-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-024-01931-8.pdf","source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11075-024-01931-8.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003649524","display_name":"Vera N. Egorova","orcid":"https://orcid.org/0000-0002-3024-3033"},"institutions":[{"id":"https://openalex.org/I13134134","display_name":"Universidad de Cantabria","ror":"https://ror.org/046ffzj20","country_code":"ES","type":"education","lineage":["https://openalex.org/I13134134"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Vera Egorova","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada y CC. de la Computaci\u00f3n, Universidad de Cantabria, 39005, Santander, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada y CC. de la Computaci\u00f3n, Universidad de Cantabria, 39005, Santander, Spain","institution_ids":["https://openalex.org/I13134134"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023121014","display_name":"Amparo Gil","orcid":"https://orcid.org/0000-0002-7449-4205"},"institutions":[{"id":"https://openalex.org/I13134134","display_name":"Universidad de Cantabria","ror":"https://ror.org/046ffzj20","country_code":"ES","type":"education","lineage":["https://openalex.org/I13134134"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Amparo Gil","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada y CC. de la Computaci\u00f3n, Universidad de Cantabria, 39005, Santander, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada y CC. de la Computaci\u00f3n, Universidad de Cantabria, 39005, Santander, Spain","institution_ids":["https://openalex.org/I13134134"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060535118","display_name":"Javier Segura","orcid":"https://orcid.org/0000-0002-0841-5636"},"institutions":[{"id":"https://openalex.org/I13134134","display_name":"Universidad de Cantabria","ror":"https://ror.org/046ffzj20","country_code":"ES","type":"education","lineage":["https://openalex.org/I13134134"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Javier Segura","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Estad\u00edstica y Computaci\u00f3n, Universidad de Cantabria, 39005, Santander, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Estad\u00edstica y Computaci\u00f3n, Universidad de Cantabria, 39005, Santander, Spain","institution_ids":["https://openalex.org/I13134134"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034014718","display_name":"Nico \u039c. \u03a4emme","orcid":"https://orcid.org/0000-0002-8394-5223"},"institutions":[{"id":"https://openalex.org/I4210157913","display_name":"Medisch Centrum Alkmaar","ror":"https://ror.org/04vccmr34","country_code":"NL","type":"healthcare","lineage":["https://openalex.org/I4210157913"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Nico M. Temme","raw_affiliation_strings":["IAA, 1825 BD 25, Alkmaar, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IAA, 1825 BD 25, Alkmaar, The Netherlands","institution_ids":["https://openalex.org/I4210157913"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5023121014"],"corresponding_institution_ids":["https://openalex.org/I13134134"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":2.3619,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.9128752,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"99","issue":"4","first_page":"1791","last_page":"1804"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10891","display_name":"Radar Systems and Signal Processing","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10891","display_name":"Radar Systems and Signal Processing","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9832000136375427,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9599999785423279,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8033023476600647},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7112569808959961},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6853786706924438},{"id":"https://openalex.org/keywords/beta-distribution","display_name":"Beta distribution","score":0.5894384980201721},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.49145495891571045},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46806541085243225},{"id":"https://openalex.org/keywords/beta","display_name":"BETA (programming language)","score":0.43430760502815247},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.42675620317459106},{"id":"https://openalex.org/keywords/noncentral-chi-squared-distribution","display_name":"Noncentral chi-squared distribution","score":0.42653223872184753},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42364639043807983},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33161377906799316},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11936086416244507},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0902414619922638},{"id":"https://openalex.org/keywords/ratio-distribution","display_name":"Ratio distribution","score":0.06333610415458679}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8033023476600647},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7112569808959961},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6853786706924438},{"id":"https://openalex.org/C21621910","wikidata":"https://www.wikidata.org/wiki/Q756254","display_name":"Beta distribution","level":2,"score":0.5894384980201721},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.49145495891571045},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46806541085243225},{"id":"https://openalex.org/C2776174256","wikidata":"https://www.wikidata.org/wiki/Q830842","display_name":"BETA (programming language)","level":2,"score":0.43430760502815247},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.42675620317459106},{"id":"https://openalex.org/C12269589","wikidata":"https://www.wikidata.org/wiki/Q1052990","display_name":"Noncentral chi-squared distribution","level":5,"score":0.42653223872184753},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42364639043807983},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33161377906799316},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11936086416244507},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0902414619922638},{"id":"https://openalex.org/C22308533","wikidata":"https://www.wikidata.org/wiki/Q7295737","display_name":"Ratio distribution","level":4,"score":0.06333610415458679},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C65778772","wikidata":"https://www.wikidata.org/wiki/Q12345341","display_name":"Asymptotic distribution","level":3,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s11075-024-01931-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-024-01931-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-024-01931-8.pdf","source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:repositorio.unican.es:10902/36776","is_oa":true,"landing_page_url":"https://hdl.handle.net/10902/36776","pdf_url":null,"source":{"id":"https://openalex.org/S4306400398","display_name":"UCrea (University of Cantabria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I13134134","host_organization_name":"Universidad de Cantabria","host_organization_lineage":["https://openalex.org/I13134134"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms, 2025, 99(4), 1791-1804","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:bird.bcamath.org:20.500.11824/2078","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11824/2078","pdf_url":"https://bird.bcamath.org/bitstream/20.500.11824/2078/1/7%20%281%29.pdf","source":{"id":"https://openalex.org/S4306401608","display_name":"BIRD (Basque Center for Applied Mathematics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2802176441","host_organization_name":"Basque Center for Applied Mathematics","host_organization_lineage":["https://openalex.org/I2802176441"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s11075-024-01931-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11075-024-01931-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11075-024-01931-8.pdf","source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323808","display_name":"Universidad de Cantabria","ror":"https://ror.org/046ffzj20"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4402414077.pdf"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W590791627","https://openalex.org/W2130423096","https://openalex.org/W2152003238","https://openalex.org/W2963999482","https://openalex.org/W4285411823","https://openalex.org/W4381950153","https://openalex.org/W4405921327"],"related_works":["https://openalex.org/W2019558974","https://openalex.org/W1993598306","https://openalex.org/W2120548880","https://openalex.org/W4389260333","https://openalex.org/W3144016175","https://openalex.org/W4235007890","https://openalex.org/W2039023896","https://openalex.org/W4391800726","https://openalex.org/W4387851472","https://openalex.org/W4387725543"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"noncentral":[2,37],"beta":[3,12,17,38],"distribution":[4,13,39],"function":[5],"is":[6,52],"a":[7,21,31,42,57],"generalization":[8],"of":[9,44,60],"the":[10,36,50],"central":[11],"(the":[14],"regularized":[15],"incomplete":[16],"function)":[18],"that":[19,49],"includes":[20],"noncentrality":[22],"parameter.":[23],"This":[24],"paper":[25],"describes":[26],"an":[27],"algorithm":[28,51],"and":[29,54],"provides":[30],"Matlab":[32],"implementation":[33],"for":[34],"calculating":[35],"function.":[40],"Through":[41],"series":[43],"numerical":[45],"tests,":[46],"we":[47],"demonstrate":[48],"accurate":[53],"efficient":[55],"across":[56],"wide":[58],"range":[59],"parameters.":[61]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
