{"id":"https://openalex.org/W3024688586","doi":"https://doi.org/10.1155/2020/8394815","title":"The Arcsine Exponentiated-<i>X</i> Family: Validation and Insurance Application","display_name":"The Arcsine Exponentiated-<i>X</i> Family: Validation and Insurance Application","publication_year":2020,"publication_date":"2020-05-14","ids":{"openalex":"https://openalex.org/W3024688586","doi":"https://doi.org/10.1155/2020/8394815","mag":"3024688586"},"language":"en","primary_location":{"id":"doi:10.1155/2020/8394815","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/8394815","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/8394815.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2020/8394815.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047320325","display_name":"Wenjing He","orcid":null},"institutions":[{"id":"https://openalex.org/I59649739","display_name":"Jiangxi University of Finance and Economics","ror":"https://ror.org/03efmyj29","country_code":"CN","type":"education","lineage":["https://openalex.org/I59649739"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenjing He","raw_affiliation_strings":["College of Modern Economics and Management, Jiangxi University of Finance and Economics, Nanchang, Jiangxi, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Modern Economics and Management, Jiangxi University of Finance and Economics, Nanchang, Jiangxi, China","institution_ids":["https://openalex.org/I59649739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100746143","display_name":"Zubair Ahmad","orcid":"https://orcid.org/0000-0003-3782-4081"},"institutions":[{"id":"https://openalex.org/I112536369","display_name":"Yazd University","ror":"https://ror.org/02x99ac45","country_code":"IR","type":"education","lineage":["https://openalex.org/I112536369"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Zubair Ahmad","raw_affiliation_strings":["Department of Statistics, Yazd University, P.O. Box 89175-741, Yazd, Iran"],"raw_orcid":"https://orcid.org/0000-0003-3782-4081","affiliations":[{"raw_affiliation_string":"Department of Statistics, Yazd University, P.O. Box 89175-741, Yazd, Iran","institution_ids":["https://openalex.org/I112536369"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090850000","display_name":"Ahmed Z. Afify","orcid":"https://orcid.org/0000-0002-6723-6785"},"institutions":[{"id":"https://openalex.org/I207547235","display_name":"Benha University","ror":"https://ror.org/03tn5ee41","country_code":"EG","type":"education","lineage":["https://openalex.org/I207547235"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Ahmed Z. Afify","raw_affiliation_strings":["Department of Statistics, Mathematics and Insurance, Benha University, Benha, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Mathematics and Insurance, Benha University, Benha, Egypt","institution_ids":["https://openalex.org/I207547235"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042523747","display_name":"Hafida Goual","orcid":"https://orcid.org/0000-0003-4932-4332"},"institutions":[{"id":"https://openalex.org/I108754898","display_name":"Badji Mokhtar-Annaba University","ror":"https://ror.org/03sf55932","country_code":"DZ","type":"education","lineage":["https://openalex.org/I108754898"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Hafida Goual","raw_affiliation_strings":["Laboratory of Probability and Statistics University of Badji Mokhtar, Annaba, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Probability and Statistics University of Badji Mokhtar, Annaba, Algeria","institution_ids":["https://openalex.org/I108754898"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100746143"],"corresponding_institution_ids":["https://openalex.org/I112536369"],"apc_list":{"value":2550,"currency":"USD","value_usd":2550},"apc_paid":{"value":2550,"currency":"USD","value_usd":2550},"fwci":3.6013,"has_fulltext":true,"cited_by_count":29,"citation_normalized_percentile":{"value":0.94053348,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"18"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9998999834060669,"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":0.9998999834060669,"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/T11720","display_name":"Probability and Risk Models","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9571999907493591,"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/weibull-distribution","display_name":"Weibull distribution","score":0.8241341710090637},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.6684718132019043},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6171447038650513},{"id":"https://openalex.org/keywords/goodness-of-fit","display_name":"Goodness of fit","score":0.5233811140060425},{"id":"https://openalex.org/keywords/shape-parameter","display_name":"Shape parameter","score":0.48571428656578064},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.4453672170639038},{"id":"https://openalex.org/keywords/exponentiated-weibull-distribution","display_name":"Exponentiated Weibull distribution","score":0.4123443365097046},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.34723812341690063},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3267439305782318}],"concepts":[{"id":"https://openalex.org/C173291955","wikidata":"https://www.wikidata.org/wiki/Q732332","display_name":"Weibull distribution","level":2,"score":0.8241341710090637},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6684718132019043},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6171447038650513},{"id":"https://openalex.org/C132480984","wikidata":"https://www.wikidata.org/wiki/Q2034239","display_name":"Goodness of fit","level":2,"score":0.5233811140060425},{"id":"https://openalex.org/C199435849","wikidata":"https://www.wikidata.org/wiki/Q3179293","display_name":"Shape parameter","level":2,"score":0.48571428656578064},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.4453672170639038},{"id":"https://openalex.org/C95770405","wikidata":"https://www.wikidata.org/wiki/Q5421539","display_name":"Exponentiated Weibull distribution","level":3,"score":0.4123443365097046},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.34723812341690063},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3267439305782318}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2020/8394815","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/8394815","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/8394815.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:8fc45f8800e34a4188f608724055b484","is_oa":true,"landing_page_url":"https://doaj.org/article/8fc45f8800e34a4188f608724055b484","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2020 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2020/8394815","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/8394815","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/8394815.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8","score":0.44999998807907104}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3024688586.pdf","grobid_xml":"https://content.openalex.org/works/W3024688586.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W1530335070","https://openalex.org/W1979775918","https://openalex.org/W1999420502","https://openalex.org/W2003043371","https://openalex.org/W2014687718","https://openalex.org/W2023163585","https://openalex.org/W2028202351","https://openalex.org/W2060605235","https://openalex.org/W2061343954","https://openalex.org/W2070314726","https://openalex.org/W2074154843","https://openalex.org/W2112717751","https://openalex.org/W2130096227","https://openalex.org/W2130388500","https://openalex.org/W2151528537","https://openalex.org/W2157230072","https://openalex.org/W2160262259","https://openalex.org/W2165644087","https://openalex.org/W2170989632","https://openalex.org/W2495882236","https://openalex.org/W2672776597","https://openalex.org/W2745995281","https://openalex.org/W2766093083","https://openalex.org/W2786845965","https://openalex.org/W2793638044","https://openalex.org/W2888548449","https://openalex.org/W2898770202","https://openalex.org/W2898818720","https://openalex.org/W2903812847","https://openalex.org/W2906060311","https://openalex.org/W2935925294","https://openalex.org/W2967145350","https://openalex.org/W2974917862","https://openalex.org/W3011359846","https://openalex.org/W3124863405"],"related_works":["https://openalex.org/W2090965550","https://openalex.org/W2899131349","https://openalex.org/W2898802606","https://openalex.org/W1978209741","https://openalex.org/W2003763999","https://openalex.org/W2382419251","https://openalex.org/W2363375927","https://openalex.org/W1514368044","https://openalex.org/W4225957020","https://openalex.org/W4225517098"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"a":[5,13,29,82,97,135,144,175],"family":[6,21],"of":[7,22,32,85,127,158],"heavy":[8,137,180],"tailed":[9,138,181],"distributions,":[10],"by":[11,60,133],"incorporating":[12],"trigonometric":[14],"function":[15],"called":[16,36],"the":[17,26,33,37,52,78,92,101,117,128,151,156,159,168],"arcsine":[18,38],"exponentiated-":[19],"X":[20],"distributions.":[23,122],"Based":[24],"on":[25,150],"proposed":[27,93,129,160],"approach,":[28],"three-parameter":[30],"extension":[31],"Weibull":[34,103],"distribution":[35,41,95],"exponentiated-Weibull":[39],"(ASE-W)":[40],"is":[42,48,58,88,131],"studied":[43],"in":[44],"detail.":[45],"Maximum":[46],"likelihood":[47],"used":[49,173],"to":[50,154],"estimate":[51],"model":[53,130,170],"parameters,":[54],"and":[55,70,119,125],"its":[56],"performance":[57],"evaluated":[59],"two":[61],"simulation":[62],"studies.":[63],"Actuarial":[64],"measures":[65,87,107],"including":[66],"Value":[67,72],"at":[68,73],"Risk":[69,74],"Tail":[71],"are":[75,108],"derived":[76],"for":[77,116,178],"ASE-W":[79,94,118,161,169],"distribution.":[80,104],"Furthermore,":[81],"numerical":[83],"study":[84],"these":[86],"conducted":[89],"proving":[90],"that":[91,167],"has":[96],"heavier":[98],"tail":[99],"than":[100],"baseline":[102],"These":[105],"actuarial":[106],"also":[109],"estimated":[110],"from":[111],"insurance":[112,139,182],"claims":[113,140,183],"real":[114],"data":[115],"other":[120],"competing":[121],"The":[123,163],"usefulness":[124],"flexibility":[126],"proved":[132],"analyzing":[134,179],"real-life":[136],"data.":[141,184],"We":[142],"construct":[143],"modified":[145,164],"chi-squared":[146],"goodness-of-fit":[147],"test":[148,165],"based":[149],"Nikulin\u2013Rao\u2013Robson":[152],"statistic":[153],"verify":[155],"validity":[157],"model.":[162],"shows":[166],"can":[171],"be":[172],"as":[174],"good":[176],"candidate":[177]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":3}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2020-05-21T00:00:00"}