{"id":"https://openalex.org/W3047027095","doi":"https://doi.org/10.1007/s11277-020-07672-w","title":"Closed-Form Expressions for the Quantile Function of the Chi Square Distribution Using the Hybrid of Quantile Mechanics and Spline Interpolation","display_name":"Closed-Form Expressions for the Quantile Function of the Chi Square Distribution Using the Hybrid of Quantile Mechanics and Spline Interpolation","publication_year":2020,"publication_date":"2020-08-05","ids":{"openalex":"https://openalex.org/W3047027095","doi":"https://doi.org/10.1007/s11277-020-07672-w","mag":"3047027095"},"language":"en","primary_location":{"id":"doi:10.1007/s11277-020-07672-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11277-020-07672-w","pdf_url":null,"source":{"id":"https://openalex.org/S49967189","display_name":"Wireless Personal Communications","issn_l":"0929-6212","issn":["0929-6212","1572-834X"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Wireless Personal Communications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033965630","display_name":"Hilary I. Okagbue","orcid":"https://orcid.org/0000-0002-3779-9763"},"institutions":[{"id":"https://openalex.org/I186771145","display_name":"Covenant University","ror":"https://ror.org/00frr1n84","country_code":"NG","type":"education","lineage":["https://openalex.org/I186771145"]}],"countries":["NG"],"is_corresponding":true,"raw_author_name":"Hilary I. Okagbue","raw_affiliation_strings":["Department of Mathematics, Covenant University, Ota, Nigeria"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Covenant University, Ota, Nigeria","institution_ids":["https://openalex.org/I186771145"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113708706","display_name":"M. O. Adamu","orcid":null},"institutions":[{"id":"https://openalex.org/I197610006","display_name":"University of Lagos","ror":"https://ror.org/05rk03822","country_code":"NG","type":"education","lineage":["https://openalex.org/I197610006"]}],"countries":["NG"],"is_corresponding":false,"raw_author_name":"Muminu O. Adamu","raw_affiliation_strings":["Department of Mathematics, University of Lagos, Akoka, Lagos, Nigeria"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Lagos, Akoka, Lagos, Nigeria","institution_ids":["https://openalex.org/I197610006"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024834292","display_name":"T. A. Anake","orcid":"https://orcid.org/0000-0002-1070-3020"},"institutions":[{"id":"https://openalex.org/I186771145","display_name":"Covenant University","ror":"https://ror.org/00frr1n84","country_code":"NG","type":"education","lineage":["https://openalex.org/I186771145"]}],"countries":["NG"],"is_corresponding":false,"raw_author_name":"Timothy A. Anake","raw_affiliation_strings":["Department of Mathematics, Covenant University, Ota, Nigeria"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Covenant University, Ota, Nigeria","institution_ids":["https://openalex.org/I186771145"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033965630"],"corresponding_institution_ids":["https://openalex.org/I186771145"],"apc_list":{"value":2490,"currency":"EUR","value_usd":3090},"apc_paid":null,"fwci":0.4409,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.66130284,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"115","issue":"3","first_page":"2093","last_page":"2112"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9947999715805054,"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"}},"topics":[{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9947999715805054,"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"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9825999736785889,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quantile-function","display_name":"Quantile function","score":0.6987056136131287},{"id":"https://openalex.org/keywords/quantile","display_name":"Quantile","score":0.6981835961341858},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5773252248764038},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5472462177276611},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.5033127665519714},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.494478702545166},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.4590185880661011},{"id":"https://openalex.org/keywords/power-series","display_name":"Power series","score":0.45188698172569275},{"id":"https://openalex.org/keywords/cumulative-distribution-function","display_name":"Cumulative distribution function","score":0.4235073924064636},{"id":"https://openalex.org/keywords/order-statistic","display_name":"Order statistic","score":0.4170447289943695},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4147588014602661},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.330544650554657},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2386058270931244},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.23356306552886963}],"concepts":[{"id":"https://openalex.org/C47121976","wikidata":"https://www.wikidata.org/wiki/Q3489473","display_name":"Quantile function","level":4,"score":0.6987056136131287},{"id":"https://openalex.org/C118671147","wikidata":"https://www.wikidata.org/wiki/Q578714","display_name":"Quantile","level":2,"score":0.6981835961341858},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5773252248764038},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5472462177276611},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.5033127665519714},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.494478702545166},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.4590185880661011},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.45188698172569275},{"id":"https://openalex.org/C103784038","wikidata":"https://www.wikidata.org/wiki/Q386228","display_name":"Cumulative distribution function","level":3,"score":0.4235073924064636},{"id":"https://openalex.org/C44082924","wikidata":"https://www.wikidata.org/wiki/Q1767128","display_name":"Order statistic","level":2,"score":0.4170447289943695},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4147588014602661},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.330544650554657},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2386058270931244},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.23356306552886963},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11277-020-07672-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11277-020-07672-w","pdf_url":null,"source":{"id":"https://openalex.org/S49967189","display_name":"Wireless Personal Communications","issn_l":"0929-6212","issn":["0929-6212","1572-834X"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Wireless Personal Communications","raw_type":"journal-article"},{"id":"pmh:oai:eprints.covenantuniversity.edu.ng:14539","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400995","display_name":"Covenant University Repository (Covenant University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186771145","host_organization_name":"Covenant University","host_organization_lineage":["https://openalex.org/I186771145"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.550000011920929}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":73,"referenced_works":["https://openalex.org/W276006551","https://openalex.org/W1526056977","https://openalex.org/W1533179050","https://openalex.org/W1599586746","https://openalex.org/W1970553946","https://openalex.org/W1973594798","https://openalex.org/W1976985517","https://openalex.org/W1989452653","https://openalex.org/W1991567646","https://openalex.org/W1995425050","https://openalex.org/W2003636922","https://openalex.org/W2008577109","https://openalex.org/W2015557498","https://openalex.org/W2016886155","https://openalex.org/W2017649043","https://openalex.org/W2019058359","https://openalex.org/W2025617404","https://openalex.org/W2026880956","https://openalex.org/W2028088564","https://openalex.org/W2028237965","https://openalex.org/W2029351433","https://openalex.org/W2039701335","https://openalex.org/W2041412004","https://openalex.org/W2044342679","https://openalex.org/W2060226266","https://openalex.org/W2070804217","https://openalex.org/W2076286969","https://openalex.org/W2087577322","https://openalex.org/W2125543071","https://openalex.org/W2127704830","https://openalex.org/W2130678884","https://openalex.org/W2141803052","https://openalex.org/W2151990255","https://openalex.org/W2153086947","https://openalex.org/W2154966368","https://openalex.org/W2171721022","https://openalex.org/W2181563096","https://openalex.org/W2188632414","https://openalex.org/W2344611510","https://openalex.org/W2465532736","https://openalex.org/W2516691518","https://openalex.org/W2584633630","https://openalex.org/W2620720080","https://openalex.org/W2774686315","https://openalex.org/W2792733300","https://openalex.org/W2795604415","https://openalex.org/W2797045016","https://openalex.org/W2797926357","https://openalex.org/W2799973838","https://openalex.org/W2835083398","https://openalex.org/W2851104307","https://openalex.org/W2885977168","https://openalex.org/W2889218067","https://openalex.org/W2889368628","https://openalex.org/W2900759078","https://openalex.org/W2904011154","https://openalex.org/W2948608615","https://openalex.org/W3000278060","https://openalex.org/W3033270823","https://openalex.org/W3092844119","https://openalex.org/W4210883707","https://openalex.org/W4211007733","https://openalex.org/W4233073814","https://openalex.org/W4236654676","https://openalex.org/W4237961478","https://openalex.org/W4238306122","https://openalex.org/W4246888445","https://openalex.org/W4247214211","https://openalex.org/W4250787282","https://openalex.org/W4300944962","https://openalex.org/W6631984995","https://openalex.org/W6750501351","https://openalex.org/W6818771589"],"related_works":["https://openalex.org/W4321452144","https://openalex.org/W3176290838","https://openalex.org/W3100297090","https://openalex.org/W3033270823","https://openalex.org/W2014604661","https://openalex.org/W3205766985","https://openalex.org/W4382516301","https://openalex.org/W2115477858","https://openalex.org/W4360602429","https://openalex.org/W2996228673"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
