{"id":"https://openalex.org/W4404524051","doi":"https://doi.org/10.3390/axioms13110796","title":"Bayesian and Non-Bayesian Inference to Bivariate Alpha Power Burr-XII Distribution with Engineering Application","display_name":"Bayesian and Non-Bayesian Inference to Bivariate Alpha Power Burr-XII Distribution with Engineering Application","publication_year":2024,"publication_date":"2024-11-17","ids":{"openalex":"https://openalex.org/W4404524051","doi":"https://doi.org/10.3390/axioms13110796"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13110796","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13110796","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/axioms13110796","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081655704","display_name":"Dina A. Ramadan","orcid":"https://orcid.org/0000-0003-0712-9416"},"institutions":[{"id":"https://openalex.org/I159247623","display_name":"Mansoura University","ror":"https://ror.org/01k8vtd75","country_code":"EG","type":"education","lineage":["https://openalex.org/I159247623"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Dina A. Ramadan","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt"],"raw_orcid":"https://orcid.org/0000-0003-0712-9416","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt","institution_ids":["https://openalex.org/I159247623"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074353523","display_name":"Mustafa M. Hasaballah","orcid":"https://orcid.org/0000-0001-7680-6762"},"institutions":[{"id":"https://openalex.org/I4210120363","display_name":"Higher Institute of Engineering","ror":"https://ror.org/02pyw9g57","country_code":"EG","type":"education","lineage":["https://openalex.org/I4210120363"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Mustafa M. Hasaballah","raw_affiliation_strings":["Department of Basic Science, Marg Higher Institute for Engineering and Modern Technology, Cairo 11721, Egypt"],"raw_orcid":"https://orcid.org/0000-0001-7680-6762","affiliations":[{"raw_affiliation_string":"Department of Basic Science, Marg Higher Institute for Engineering and Modern Technology, Cairo 11721, Egypt","institution_ids":["https://openalex.org/I4210120363"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114711669","display_name":"Nada K. Abd-Elwaha","orcid":null},"institutions":[{"id":"https://openalex.org/I159247623","display_name":"Mansoura University","ror":"https://ror.org/01k8vtd75","country_code":"EG","type":"education","lineage":["https://openalex.org/I159247623"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Nada K. Abd-Elwaha","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt","institution_ids":["https://openalex.org/I159247623"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030583678","display_name":"Arwa M. Alshangiti","orcid":"https://orcid.org/0000-0003-1064-3272"},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Arwa M. Alshangiti","raw_affiliation_strings":["Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia","institution_ids":["https://openalex.org/I28022161"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038213672","display_name":"Mahmoud Kamel","orcid":"https://orcid.org/0000-0002-6013-5914"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mahmoud I. Kamel","raw_affiliation_strings":["Department of Basic Science, Giza Engineering Institute, Giza 12519, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Basic Science, Giza Engineering Institute, Giza 12519, Egypt","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018904949","display_name":"Oluwafemi Samson Balogun","orcid":"https://orcid.org/0000-0002-8870-9692"},"institutions":[{"id":"https://openalex.org/I175532246","display_name":"University of Eastern Finland","ror":"https://ror.org/00cyydd11","country_code":"FI","type":"education","lineage":["https://openalex.org/I175532246"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Oluwafemi Samson Balogun","raw_affiliation_strings":["Department of Computing, University of Eastern Finland, FI-70211 Kuopio, Finland"],"raw_orcid":"https://orcid.org/0000-0002-8870-9692","affiliations":[{"raw_affiliation_string":"Department of Computing, University of Eastern Finland, FI-70211 Kuopio, Finland","institution_ids":["https://openalex.org/I175532246"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056086502","display_name":"Mahmoud M. El-Awady","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mahmoud M. El-Awady","raw_affiliation_strings":["Basic Sciences Department, Misr Higher Institute for Commerce and Computers, Mansoura 35511, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Basic Sciences Department, Misr Higher Institute for Commerce and Computers, Mansoura 35511, Egypt","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5081655704"],"corresponding_institution_ids":["https://openalex.org/I159247623"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.2916,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.82771868,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"13","issue":"11","first_page":"796","last_page":"796"},"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/T10282","display_name":"Financial Risk and Volatility Modeling","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9926999807357788,"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/bayesian-probability","display_name":"Bayesian probability","score":0.6352602243423462},{"id":"https://openalex.org/keywords/bivariate-analysis","display_name":"Bivariate analysis","score":0.6209824085235596},{"id":"https://openalex.org/keywords/alpha","display_name":"Alpha (finance)","score":0.5221617221832275},{"id":"https://openalex.org/keywords/bayesian-inference","display_name":"Bayesian inference","score":0.5170924663543701},{"id":"https://openalex.org/keywords/bayesian-linear-regression","display_name":"Bayesian linear regression","score":0.4924684464931488},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.4835619628429413},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4359019994735718},{"id":"https://openalex.org/keywords/frequentist-inference","display_name":"Frequentist inference","score":0.42404207587242126},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.41809284687042236},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41329073905944824},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3990557789802551},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.26094913482666016}],"concepts":[{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.6352602243423462},{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.6209824085235596},{"id":"https://openalex.org/C64943373","wikidata":"https://www.wikidata.org/wiki/Q2651003","display_name":"Alpha (finance)","level":4,"score":0.5221617221832275},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.5170924663543701},{"id":"https://openalex.org/C37903108","wikidata":"https://www.wikidata.org/wiki/Q4874474","display_name":"Bayesian linear regression","level":4,"score":0.4924684464931488},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.4835619628429413},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4359019994735718},{"id":"https://openalex.org/C162376815","wikidata":"https://www.wikidata.org/wiki/Q2158281","display_name":"Frequentist inference","level":4,"score":0.42404207587242126},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.41809284687042236},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41329073905944824},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3990557789802551},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.26094913482666016},{"id":"https://openalex.org/C49453240","wikidata":"https://www.wikidata.org/wiki/Q1592163","display_name":"Construct validity","level":3,"score":0.0},{"id":"https://openalex.org/C171606756","wikidata":"https://www.wikidata.org/wiki/Q506132","display_name":"Psychometrics","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms13110796","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13110796","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:e13422c42fc14760ba869d0c225f50c5","is_oa":false,"landing_page_url":"https://doaj.org/article/e13422c42fc14760ba869d0c225f50c5","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":"Axioms, Vol 13, Iss 11, p 796 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms13110796","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13110796","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1503428200","https://openalex.org/W1589112945","https://openalex.org/W1965773556","https://openalex.org/W1984903076","https://openalex.org/W1988743760","https://openalex.org/W1996336754","https://openalex.org/W1996474113","https://openalex.org/W2005611452","https://openalex.org/W2040453189","https://openalex.org/W2042557026","https://openalex.org/W2048509646","https://openalex.org/W2072713994","https://openalex.org/W2076092328","https://openalex.org/W2084568079","https://openalex.org/W2085299179","https://openalex.org/W2158091995","https://openalex.org/W2158114082","https://openalex.org/W2232897565","https://openalex.org/W2296146392","https://openalex.org/W2319945247","https://openalex.org/W2607002408","https://openalex.org/W2927238834","https://openalex.org/W3035026075","https://openalex.org/W3111233270","https://openalex.org/W4248781776","https://openalex.org/W4292566340","https://openalex.org/W4323535488","https://openalex.org/W4377290374","https://openalex.org/W4381926188","https://openalex.org/W4386577062","https://openalex.org/W4398784882","https://openalex.org/W6646511798","https://openalex.org/W6669203465","https://openalex.org/W6697246327","https://openalex.org/W6761200919","https://openalex.org/W6868733806"],"related_works":["https://openalex.org/W4242964699","https://openalex.org/W2889116641","https://openalex.org/W88131178","https://openalex.org/W2290754432","https://openalex.org/W2332232517","https://openalex.org/W232830309","https://openalex.org/W624912034","https://openalex.org/W4302047046","https://openalex.org/W1796688137","https://openalex.org/W2086321337"],"abstract_inverted_index":{"In":[0],"this":[1,124],"research,":[2],"we":[3,105,122],"present":[4],"a":[5,37],"new":[6,38],"distribution,":[7,15,56],"which":[8,43],"is":[9],"the":[10,18,26,47,54,115,139],"bivariate":[11,33,41,126,131],"alpha":[12,19],"power":[13,20],"Burr-XII":[14,21],"based":[16],"on":[17],"distribution.":[22],"We":[23,35,87],"thoroughly":[24],"examine":[25],"key":[27],"features":[28],"of":[29,40,53,78],"our":[30],"newly":[31],"developed":[32],"model.":[34],"introduce":[36],"class":[39],"models,":[42,132],"are":[44],"built":[45],"with":[46,75],"copula":[48],"function.":[49],"The":[50],"statistical":[51],"properties":[52],"proposed":[55],"such":[57],"as":[58],"conditional":[59,61],"distributions,":[60,64],"expectations,":[62],"marginal":[63],"moment-generating":[65],"functions,":[66],"and":[67,93,102,110],"product":[68],"moments":[69],"were":[70],"studied.":[71],"This":[72],"was":[73],"accomplished":[74],"two":[76,84],"datasets":[77],"real":[79,140],"data":[80],"that":[81],"came":[82],"from":[83],"distinct":[85],"devices.":[86],"employed":[88],"Bayesian,":[89],"maximum":[90],"likelihood":[91],"estimation,":[92],"least":[94],"squares":[95],"estimation":[96],"strategies":[97],"to":[98,129,133],"obtain":[99],"estimated":[100],"points":[101],"intervals.":[103],"Additionally,":[104],"generated":[106],"bootstrap":[107],"confidence":[108],"intervals":[109],"conducted":[111],"numerical":[112],"analyses":[113],"using":[114],"Markov":[116],"chain":[117],"Monte":[118],"Carlo":[119],"method.":[120],"Lastly,":[121],"compared":[123],"novel":[125],"distribution\u2019s":[127],"performance":[128],"earlier":[130],"determine":[134],"how":[135],"well":[136],"it":[137],"fit":[138],"data.":[141]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}