{"id":"https://openalex.org/W4321458150","doi":"https://doi.org/10.3390/sym15020564","title":"Copula Approach for Dependent Competing Risks of Generalized Half-Logistic Distributions under Accelerated Censoring Data","display_name":"Copula Approach for Dependent Competing Risks of Generalized Half-Logistic Distributions under Accelerated Censoring Data","publication_year":2023,"publication_date":"2023-02-20","ids":{"openalex":"https://openalex.org/W4321458150","doi":"https://doi.org/10.3390/sym15020564"},"language":"en","primary_location":{"id":"doi:10.3390/sym15020564","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15020564","pdf_url":"https://www.mdpi.com/2073-8994/15/2/564/pdf?version=1676974495","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/15/2/564/pdf?version=1676974495","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042893321","display_name":"Laila A. Al\u2010Essa","orcid":null},"institutions":[{"id":"https://openalex.org/I106778892","display_name":"Princess Nourah bint Abdulrahman University","ror":"https://ror.org/05b0cyh02","country_code":"SA","type":"education","lineage":["https://openalex.org/I106778892"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Laila A. Al-Essa","raw_affiliation_strings":["Department of Mathematical science, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0003-2788-8946","affiliations":[{"raw_affiliation_string":"Department of Mathematical science, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia","institution_ids":["https://openalex.org/I106778892"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071062360","display_name":"Ahmed A. Soliman","orcid":"https://orcid.org/0000-0001-5630-0203"},"institutions":[{"id":"https://openalex.org/I97455420","display_name":"Sohag University","ror":"https://ror.org/02wgx3e98","country_code":"EG","type":"education","lineage":["https://openalex.org/I97455420"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Ahmed A. Soliman","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt","institution_ids":["https://openalex.org/I97455420"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081884661","display_name":"Gamal A. Abd-Elmougod","orcid":"https://orcid.org/0000-0002-3511-3326"},"institutions":[{"id":"https://openalex.org/I169744251","display_name":"Damanhour University","ror":"https://ror.org/03svthf85","country_code":"EG","type":"education","lineage":["https://openalex.org/I169744251"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Gamal A. Abd-Elmougod","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Damanhour University, Damanhour 22511, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Damanhour University, Damanhour 22511, Egypt","institution_ids":["https://openalex.org/I169744251"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043160779","display_name":"Huda M. Alshanbari","orcid":"https://orcid.org/0000-0001-5154-7477"},"institutions":[{"id":"https://openalex.org/I106778892","display_name":"Princess Nourah bint Abdulrahman University","ror":"https://ror.org/05b0cyh02","country_code":"SA","type":"education","lineage":["https://openalex.org/I106778892"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Huda M. Alshanbari","raw_affiliation_strings":["Department of Mathematical science, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-5154-7477","affiliations":[{"raw_affiliation_string":"Department of Mathematical science, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia","institution_ids":["https://openalex.org/I106778892"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5071062360"],"corresponding_institution_ids":["https://openalex.org/I97455420"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.6315,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.68011602,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"15","issue":"2","first_page":"564","last_page":"564"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9988999962806702,"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":0.9988999962806702,"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/T12011","display_name":"Insurance, Mortality, Demography, Risk Management","score":0.9345999956130981,"subfield":{"id":"https://openalex.org/subfields/3317","display_name":"Demography"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9305999875068665,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/copula","display_name":"Copula (linguistics)","score":0.732310950756073},{"id":"https://openalex.org/keywords/censoring","display_name":"Censoring (clinical trials)","score":0.6737121939659119},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6052008271217346},{"id":"https://openalex.org/keywords/bivariate-analysis","display_name":"Bivariate analysis","score":0.5715330839157104},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5264742374420166},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5171729922294617},{"id":"https://openalex.org/keywords/asymptotic-distribution","display_name":"Asymptotic distribution","score":0.4857221245765686},{"id":"https://openalex.org/keywords/generalized-pareto-distribution","display_name":"Generalized Pareto distribution","score":0.48526737093925476},{"id":"https://openalex.org/keywords/normality","display_name":"Normality","score":0.46322038769721985},{"id":"https://openalex.org/keywords/confidence-interval","display_name":"Confidence interval","score":0.42427945137023926},{"id":"https://openalex.org/keywords/logistic-regression","display_name":"Logistic regression","score":0.42393958568573},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.3970152735710144},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39423125982284546},{"id":"https://openalex.org/keywords/extreme-value-theory","display_name":"Extreme value theory","score":0.1606990396976471}],"concepts":[{"id":"https://openalex.org/C17618745","wikidata":"https://www.wikidata.org/wiki/Q207509","display_name":"Copula (linguistics)","level":2,"score":0.732310950756073},{"id":"https://openalex.org/C137668524","wikidata":"https://www.wikidata.org/wiki/Q189813","display_name":"Censoring (clinical trials)","level":2,"score":0.6737121939659119},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6052008271217346},{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.5715330839157104},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5264742374420166},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5171729922294617},{"id":"https://openalex.org/C65778772","wikidata":"https://www.wikidata.org/wiki/Q12345341","display_name":"Asymptotic distribution","level":3,"score":0.4857221245765686},{"id":"https://openalex.org/C133514767","wikidata":"https://www.wikidata.org/wiki/Q5532448","display_name":"Generalized Pareto distribution","level":3,"score":0.48526737093925476},{"id":"https://openalex.org/C2776157432","wikidata":"https://www.wikidata.org/wiki/Q1375683","display_name":"Normality","level":2,"score":0.46322038769721985},{"id":"https://openalex.org/C44249647","wikidata":"https://www.wikidata.org/wiki/Q208498","display_name":"Confidence interval","level":2,"score":0.42427945137023926},{"id":"https://openalex.org/C151956035","wikidata":"https://www.wikidata.org/wiki/Q1132755","display_name":"Logistic regression","level":2,"score":0.42393958568573},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3970152735710144},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39423125982284546},{"id":"https://openalex.org/C147581598","wikidata":"https://www.wikidata.org/wiki/Q729429","display_name":"Extreme value theory","level":2,"score":0.1606990396976471}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym15020564","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15020564","pdf_url":"https://www.mdpi.com/2073-8994/15/2/564/pdf?version=1676974495","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:eaec655846cb410281ecf56d0113ca42","is_oa":false,"landing_page_url":"https://doaj.org/article/eaec655846cb410281ecf56d0113ca42","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 15, Iss 2, p 564 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/15/2/564/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym15020564","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym15020564","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15020564","pdf_url":"https://www.mdpi.com/2073-8994/15/2/564/pdf?version=1676974495","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322484","display_name":"Princess Nourah Bint Abdulrahman University","ror":"https://ror.org/05b0cyh02"},{"id":"https://openalex.org/F4320337220","display_name":"Deanship of Scientific Research, Princess Nourah Bint Abdulrahman University","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4321458150.pdf"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W329802774","https://openalex.org/W562988351","https://openalex.org/W840092480","https://openalex.org/W1566606862","https://openalex.org/W1968111671","https://openalex.org/W1990477628","https://openalex.org/W2000093045","https://openalex.org/W2015985785","https://openalex.org/W2017596715","https://openalex.org/W2028832334","https://openalex.org/W2033370164","https://openalex.org/W2043599755","https://openalex.org/W2065691010","https://openalex.org/W2067978550","https://openalex.org/W2072430699","https://openalex.org/W2123213790","https://openalex.org/W2130504762","https://openalex.org/W2139651380","https://openalex.org/W2202879490","https://openalex.org/W2206606631","https://openalex.org/W2306336740","https://openalex.org/W2618729025","https://openalex.org/W2982154427","https://openalex.org/W2995692864","https://openalex.org/W3094121219","https://openalex.org/W3106889297","https://openalex.org/W3158480452","https://openalex.org/W4200285376","https://openalex.org/W4200306465","https://openalex.org/W4220772090","https://openalex.org/W4250828386","https://openalex.org/W4298872162","https://openalex.org/W4385152543","https://openalex.org/W6680533330","https://openalex.org/W6795596379","https://openalex.org/W6855349331"],"related_works":["https://openalex.org/W4321650139","https://openalex.org/W2169275958","https://openalex.org/W2106922074","https://openalex.org/W2884149040","https://openalex.org/W2363656491","https://openalex.org/W2917687159","https://openalex.org/W2381573335","https://openalex.org/W100105997","https://openalex.org/W2181080815","https://openalex.org/W1780105705"],"abstract_inverted_index":{"In":[0,20,41],"medicals":[1],"sciences":[2],"and":[3,26,111,132],"reliability":[4,140],"engineering,":[5],"the":[6,22,34,37,46,53,89,101,126,139,142,154],"failure":[7,30,110],"of":[8,18,29,36,55,109,130,138,141,169],"individuals":[9],"or":[10],"units":[11],"(I/Us)":[12],"occurs":[13],"due":[14],"to":[15,33,70],"independent":[16,27],"causes":[17,28,108],"failure.":[19],"general,":[21],"symmetry":[23],"between":[24],"dependent":[25,48,107],"is":[31],"essential":[32],"nature":[35],"problem":[38],"at":[39],"hand.":[40],"this":[42],"study,":[43],"we":[44],"considered":[45],"accelerated":[47,73],"competing":[49],"risks":[50],"model":[51,96],"when":[52],"lifetime":[54],"I/Us":[56],"was":[57,86,149,176],"modeled":[58],"using":[59,88,124],"a":[60,78,145,161],"generalized":[61],"half-logistic":[62],"distribution.":[63],"The":[64,83,95,118,151],"data":[65,170],"were":[66,98,116,122,157],"obtained":[67],"with":[68,77,100],"respect":[69],"constant":[71],"stress":[72,147,174],"life":[74],"tests":[75],"(ALTs)":[76],"type-II":[79],"progressive":[80],"censoring":[81],"scheme.":[82],"dependence":[84],"structure":[85],"formulated":[87],"copula":[90,114],"approach":[91],"(symmetric":[92],"Archimedean":[93],"copula).":[94],"parameters":[97],"estimated":[99],"maximum":[102],"likelihood":[103],"method;":[104],"only":[105],"two":[106,173],"bivariate":[112],"Pareto":[113],"functions":[115],"proposed.":[117],"approximate":[119],"confidence":[120],"intervals":[121],"constructed":[123],"both":[125],"asymptotic":[127],"normality":[128],"distribution":[129],"MLEs":[131],"bootstrap":[133],"techniques.":[134],"Additionally,":[135],"an":[136,167],"estimator":[137],"system":[143],"under":[144],"normal":[146],"level":[148],"constructed.":[150],"results":[152],"from":[153,172],"estimation":[155],"methods":[156],"tested":[158],"by":[159],"performing":[160],"Monte":[162],"Carlo":[163],"simulation":[164],"study.":[165],"Finally,":[166],"analysis":[168],"sets":[171],"levels":[175],"performed":[177],"for":[178],"illustrative":[179],"purposes.":[180]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}