{"id":"https://openalex.org/W4296113618","doi":"https://doi.org/10.1080/03610918.2022.2120201","title":"Better confidence intervals for the slope parameters of the quadratic regression model when the error term is not normally distributed","display_name":"Better confidence intervals for the slope parameters of the quadratic regression model when the error term is not normally distributed","publication_year":2022,"publication_date":"2022-09-08","ids":{"openalex":"https://openalex.org/W4296113618","doi":"https://doi.org/10.1080/03610918.2022.2120201"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2022.2120201","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2022.2120201","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","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/A5066410396","display_name":"Vesna Raji\u0107","orcid":"https://orcid.org/0000-0002-4566-0147"},"institutions":[{"id":"https://openalex.org/I4068193","display_name":"University of Belgrade","ror":"https://ror.org/02qsmb048","country_code":"RS","type":"education","lineage":["https://openalex.org/I4068193"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Vesna Raji\u0107","raw_affiliation_strings":["Department for Statistics and Mathematics, Faculty of Economics and Business, University of Belgrade","Department for Statistics and Mathematics, Faculty of Economics and Business, University of Belgrade, Belgrade, Serbia"],"affiliations":[{"raw_affiliation_string":"Department for Statistics and Mathematics, Faculty of Economics and Business, University of Belgrade","institution_ids":["https://openalex.org/I4068193"]},{"raw_affiliation_string":"Department for Statistics and Mathematics, Faculty of Economics and Business, University of Belgrade, Belgrade, Serbia","institution_ids":["https://openalex.org/I4068193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038193946","display_name":"Ivana Ivkovi\u0107","orcid":"https://orcid.org/0000-0002-6804-5200"},"institutions":[{"id":"https://openalex.org/I4068193","display_name":"University of Belgrade","ror":"https://ror.org/02qsmb048","country_code":"RS","type":"education","lineage":["https://openalex.org/I4068193"]}],"countries":["RS"],"is_corresponding":true,"raw_author_name":"Ivana Ivkovi\u0107","raw_affiliation_strings":["Department for Statistics and Mathematics, Faculty of Economics and Business, University of Belgrade","Department for Statistics and Mathematics, Faculty of Economics and Business, University of Belgrade, Belgrade, Serbia"],"affiliations":[{"raw_affiliation_string":"Department for Statistics and Mathematics, Faculty of Economics and Business, University of Belgrade","institution_ids":["https://openalex.org/I4068193"]},{"raw_affiliation_string":"Department for Statistics and Mathematics, Faculty of Economics and Business, University of Belgrade, Belgrade, Serbia","institution_ids":["https://openalex.org/I4068193"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100318032","display_name":"Wei Li","orcid":"https://orcid.org/0000-0001-8124-4645"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Li","raw_affiliation_strings":["School of Mathematics and Statistics, Xidian University","School of Mathematics and Statistics, Xidian University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xidian University","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050905891","display_name":"Rade Lazovi\u0107","orcid":null},"institutions":[{"id":"https://openalex.org/I4068193","display_name":"University of Belgrade","ror":"https://ror.org/02qsmb048","country_code":"RS","type":"education","lineage":["https://openalex.org/I4068193"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Rade Lazovi\u0107","raw_affiliation_strings":["Department for Mathematics, Faculty of Organisational Sciences, University of Belgrade","Department for Mathematics, Faculty of Organisational Sciences, University of Belgrade, Belgrade, Serbia"],"affiliations":[{"raw_affiliation_string":"Department for Mathematics, Faculty of Organisational Sciences, University of Belgrade","institution_ids":["https://openalex.org/I4068193"]},{"raw_affiliation_string":"Department for Mathematics, Faculty of Organisational Sciences, University of Belgrade, Belgrade, Serbia","institution_ids":["https://openalex.org/I4068193"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5038193946"],"corresponding_institution_ids":["https://openalex.org/I4068193"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10206822,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"53","issue":"8","first_page":"4018","last_page":"4045"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9987000226974487,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9987000226974487,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9986000061035156,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9855999946594238,"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/resampling","display_name":"Resampling","score":0.7820841073989868},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.7489602565765381},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7271525859832764},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.6946917772293091},{"id":"https://openalex.org/keywords/confidence-interval","display_name":"Confidence interval","score":0.677815854549408},{"id":"https://openalex.org/keywords/press-statistic","display_name":"PRESS statistic","score":0.6045607924461365},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.5677257180213928},{"id":"https://openalex.org/keywords/weibull-distribution","display_name":"Weibull distribution","score":0.5558333992958069},{"id":"https://openalex.org/keywords/ancillary-statistic","display_name":"Ancillary statistic","score":0.4911162555217743},{"id":"https://openalex.org/keywords/confidence-distribution","display_name":"Confidence distribution","score":0.4570673704147339},{"id":"https://openalex.org/keywords/linear-regression","display_name":"Linear regression","score":0.44070783257484436},{"id":"https://openalex.org/keywords/cdf-based-nonparametric-confidence-interval","display_name":"CDF-based nonparametric confidence interval","score":0.4333322048187256},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.42053499817848206},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32402503490448},{"id":"https://openalex.org/keywords/f-test","display_name":"F-test","score":0.21634149551391602},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07679665088653564}],"concepts":[{"id":"https://openalex.org/C150921843","wikidata":"https://www.wikidata.org/wiki/Q1170431","display_name":"Resampling","level":2,"score":0.7820841073989868},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.7489602565765381},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7271525859832764},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6946917772293091},{"id":"https://openalex.org/C44249647","wikidata":"https://www.wikidata.org/wiki/Q208498","display_name":"Confidence interval","level":2,"score":0.677815854549408},{"id":"https://openalex.org/C162511642","wikidata":"https://www.wikidata.org/wiki/Q7120293","display_name":"PRESS statistic","level":5,"score":0.6045607924461365},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.5677257180213928},{"id":"https://openalex.org/C173291955","wikidata":"https://www.wikidata.org/wiki/Q732332","display_name":"Weibull distribution","level":2,"score":0.5558333992958069},{"id":"https://openalex.org/C141286372","wikidata":"https://www.wikidata.org/wiki/Q4753046","display_name":"Ancillary statistic","level":4,"score":0.4911162555217743},{"id":"https://openalex.org/C13662513","wikidata":"https://www.wikidata.org/wiki/Q5160087","display_name":"Confidence distribution","level":3,"score":0.4570673704147339},{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.44070783257484436},{"id":"https://openalex.org/C42468098","wikidata":"https://www.wikidata.org/wiki/Q5009921","display_name":"CDF-based nonparametric confidence interval","level":3,"score":0.4333322048187256},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.42053499817848206},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32402503490448},{"id":"https://openalex.org/C110460608","wikidata":"https://www.wikidata.org/wiki/Q1386253","display_name":"F-test","level":3,"score":0.21634149551391602},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07679665088653564},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/03610918.2022.2120201","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2022.2120201","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-article"},{"id":"pmh:oai:rfos.fon.bg.ac.rs:123456789/2351","is_oa":false,"landing_page_url":"https://rfos.fon.bg.ac.rs/handle/123456789/2351","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Communications in Statistics-Simulation and Computation","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W84692971","https://openalex.org/W1501593414","https://openalex.org/W1507985183","https://openalex.org/W1964515680","https://openalex.org/W2043415670","https://openalex.org/W2083335787","https://openalex.org/W2086834684","https://openalex.org/W2137502647","https://openalex.org/W2271304927","https://openalex.org/W2892359379","https://openalex.org/W3106889297","https://openalex.org/W4230173782","https://openalex.org/W4249222463","https://openalex.org/W4253605667","https://openalex.org/W4298872162","https://openalex.org/W7075612759"],"related_works":["https://openalex.org/W2066458123","https://openalex.org/W2113168655","https://openalex.org/W2901026103","https://openalex.org/W4224291275","https://openalex.org/W2108549097","https://openalex.org/W1992991918","https://openalex.org/W2019234816","https://openalex.org/W2092516391","https://openalex.org/W2195107770","https://openalex.org/W2023775755"],"abstract_inverted_index":{"When":[0],"the":[1,8,12,16,22,33,37,41,45,51,55,58,70,76,79,84,92,100,106,110,114,118,122,129,133],"error":[2],"term":[3],"is":[4,73],"not":[5,26],"normally":[6],"distributed,":[7],"confidence":[9,81],"intervals":[10,42,107],"for":[11,75,83,91,99],"slope":[13,85],"parameters":[14],"of":[15,54,57,69,78,121],"quadratic":[17],"regression":[18],"model,":[19],"based":[20,35,43,108,116,131],"on":[21,36,44,61,109,117,132],"ordinary":[23,38,134],"t-statistic,":[24],"are":[25],"appropriate.":[27],"In":[28],"this":[29],"paper,":[30],"we":[31,49,64],"consider":[32],"interval":[34,82,115,130],"t-statistic":[39,71,123],"and":[40,95,98,113],"resampling":[46,111],"methods.":[47],"Further,":[48],"derive":[50],"Edgeworth":[52],"expansion":[53,63],"distribution":[56],"t-statistic.":[59,135],"Based":[60],"that":[62,105],"propose":[65],"a":[66],"new":[67,119],"transformation":[68,120],"which":[72],"used":[74],"construction":[77],"bootstrap-t":[80],"parameter":[86],"\u03b22.":[87],"The":[88],"obtained":[89],"results":[90],"Gamma,":[93],"Weibull,":[94],"Exponential":[96],"distributions":[97],"real":[101],"data":[102],"set":[103],"show":[104],"methods":[112],"provide":[124],"better":[125],"coverage":[126],"accuracy":[127],"than":[128]},"counts_by_year":[],"updated_date":"2026-02-13T13:36:01.753593","created_date":"2025-10-10T00:00:00"}
