{"id":"https://openalex.org/W4229363970","doi":"https://doi.org/10.3390/sym14050956","title":"Bayesian Inferential Approaches and Bootstrap for the Reliability and Hazard Rate Functions under Progressive First-Failure Censoring for Coronavirus Data from Asymmetric Model","display_name":"Bayesian Inferential Approaches and Bootstrap for the Reliability and Hazard Rate Functions under Progressive First-Failure Censoring for Coronavirus Data from Asymmetric Model","publication_year":2022,"publication_date":"2022-05-07","ids":{"openalex":"https://openalex.org/W4229363970","doi":"https://doi.org/10.3390/sym14050956"},"language":"en","primary_location":{"id":"doi:10.3390/sym14050956","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14050956","pdf_url":"https://www.mdpi.com/2073-8994/14/5/956/pdf?version=1652080633","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/2073-8994/14/5/956/pdf?version=1652080633","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017684804","display_name":"Rashad M. EL\u2010Sagheer","orcid":"https://orcid.org/0000-0002-7828-3536"},"institutions":[{"id":"https://openalex.org/I184834183","display_name":"Al-Azhar University","ror":"https://ror.org/05fnp1145","country_code":"EG","type":"education","lineage":["https://openalex.org/I184834183"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Rashad M. EL-Sagheer","raw_affiliation_strings":["Mathematics Department, Faculty of Science, Al-Azhar University, Cairo 11884, Egypt"],"raw_orcid":"https://orcid.org/0000-0002-7828-3536","affiliations":[{"raw_affiliation_string":"Mathematics Department, Faculty of Science, Al-Azhar University, Cairo 11884, Egypt","institution_ids":["https://openalex.org/I184834183"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002920058","display_name":"Muqrin A. Almuqrin","orcid":"https://orcid.org/0000-0001-9011-835X"},"institutions":[{"id":"https://openalex.org/I195631090","display_name":"Majmaah University","ror":"https://ror.org/01mcrnj60","country_code":"SA","type":"education","lineage":["https://openalex.org/I195631090"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Muqrin A. Almuqrin","raw_affiliation_strings":["Department of Mathematics, College of Science in Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-9011-835X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science in Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia","institution_ids":["https://openalex.org/I195631090"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015592835","display_name":"Mahmoud El-Morshedy","orcid":"https://orcid.org/0000-0002-7585-5519"},"institutions":[{"id":"https://openalex.org/I142608572","display_name":"Prince Sattam Bin Abdulaziz University","ror":"https://ror.org/04jt46d36","country_code":"SA","type":"education","lineage":["https://openalex.org/I142608572"]},{"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","SA"],"is_corresponding":false,"raw_author_name":"Mahmoud El-Morshedy","raw_affiliation_strings":["Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia","Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt"],"raw_orcid":"https://orcid.org/0000-0002-7585-5519","affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia","institution_ids":["https://openalex.org/I142608572"]},{"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/A5017464849","display_name":"Mohamed S. Eliwa","orcid":"https://orcid.org/0000-0001-5619-210X"},"institutions":[{"id":"https://openalex.org/I156216236","display_name":"Qassim University","ror":"https://ror.org/01wsfe280","country_code":"SA","type":"education","lineage":["https://openalex.org/I156216236"]},{"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","SA"],"is_corresponding":false,"raw_author_name":"Mohamed S. Eliwa","raw_affiliation_strings":["Department of Statistics and Computer Science, Faculty of Science, Mansoura University, Mansoura 35516, Egypt","Department of Statistics and Operation Research, College of Science, Qassim University, P.O. Box 6644, Buraydah 51482, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-5619-210X","affiliations":[{"raw_affiliation_string":"Department of Statistics and Computer Science, Faculty of Science, Mansoura University, Mansoura 35516, Egypt","institution_ids":["https://openalex.org/I159247623"]},{"raw_affiliation_string":"Department of Statistics and Operation Research, College of Science, Qassim University, P.O. Box 6644, Buraydah 51482, Saudi Arabia","institution_ids":["https://openalex.org/I156216236"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080989339","display_name":"Fathy H. Eissa","orcid":"https://orcid.org/0000-0002-3139-8459"},"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"]},{"id":"https://openalex.org/I185163786","display_name":"King Abdulaziz University","ror":"https://ror.org/02ma4wv74","country_code":"SA","type":"education","lineage":["https://openalex.org/I185163786"]}],"countries":["EG","SA"],"is_corresponding":false,"raw_author_name":"Fathy H. Eissa","raw_affiliation_strings":["College of Science and Arts-Rabigh, King Abdulaziz University, Rabigh 21911, Saudi Arabia","Department of Mathematics, Faculty of Science, Damanhur University, Damanhur 22511, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science and Arts-Rabigh, King Abdulaziz University, Rabigh 21911, Saudi Arabia","institution_ids":["https://openalex.org/I185163786"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Damanhur University, Damanhur 22511, Egypt","institution_ids":["https://openalex.org/I169744251"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033951948","display_name":"Doaa A. Abdo","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":"Doaa A. Abdo","raw_affiliation_strings":["Department of Applied Statistics and Insurance, Faculty of Commerce, Mansoura University, Mansoura 35511, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Statistics and Insurance, Faculty of Commerce, Mansoura University, Mansoura 35511, Egypt","institution_ids":["https://openalex.org/I159247623"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5002920058"],"corresponding_institution_ids":["https://openalex.org/I195631090"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.2259,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.79388994,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"14","issue":"5","first_page":"956","last_page":"956"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9997000098228455,"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":0.9997000098228455,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9819999933242798,"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":0.979200005531311,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/censoring","display_name":"Censoring (clinical trials)","score":0.7036920785903931},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.6675426959991455},{"id":"https://openalex.org/keywords/confidence-interval","display_name":"Confidence interval","score":0.6029632687568665},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.5972317457199097},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5844796299934387},{"id":"https://openalex.org/keywords/bayes-theorem","display_name":"Bayes' theorem","score":0.5748141407966614},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5112979412078857},{"id":"https://openalex.org/keywords/hazard-ratio","display_name":"Hazard ratio","score":0.4499469995498657},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.449799507856369},{"id":"https://openalex.org/keywords/statistical-inference","display_name":"Statistical inference","score":0.44105011224746704},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32487326860427856}],"concepts":[{"id":"https://openalex.org/C137668524","wikidata":"https://www.wikidata.org/wiki/Q189813","display_name":"Censoring (clinical trials)","level":2,"score":0.7036920785903931},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6675426959991455},{"id":"https://openalex.org/C44249647","wikidata":"https://www.wikidata.org/wiki/Q208498","display_name":"Confidence interval","level":2,"score":0.6029632687568665},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.5972317457199097},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5844796299934387},{"id":"https://openalex.org/C207201462","wikidata":"https://www.wikidata.org/wiki/Q182505","display_name":"Bayes' theorem","level":3,"score":0.5748141407966614},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5112979412078857},{"id":"https://openalex.org/C207103383","wikidata":"https://www.wikidata.org/wiki/Q3930246","display_name":"Hazard ratio","level":3,"score":0.4499469995498657},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.449799507856369},{"id":"https://openalex.org/C134261354","wikidata":"https://www.wikidata.org/wiki/Q938438","display_name":"Statistical inference","level":2,"score":0.44105011224746704},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32487326860427856}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym14050956","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14050956","pdf_url":"https://www.mdpi.com/2073-8994/14/5/956/pdf?version=1652080633","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:07e9774f60dc4920aa3045ed18560ef7","is_oa":true,"landing_page_url":"https://doaj.org/article/07e9774f60dc4920aa3045ed18560ef7","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":"Symmetry, Vol 14, Iss 5, p 956 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/14/5/956/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym14050956","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/sym14050956","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14050956","pdf_url":"https://www.mdpi.com/2073-8994/14/5/956/pdf?version=1652080633","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":[{"score":0.8700000047683716,"display_name":"Good health and well-being","id":"https://metadata.un.org/sdg/3"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4229363970.pdf"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1507985183","https://openalex.org/W2017596715","https://openalex.org/W2039601993","https://openalex.org/W2043415670","https://openalex.org/W2047900868","https://openalex.org/W2054135385","https://openalex.org/W2055963842","https://openalex.org/W2089408108","https://openalex.org/W2112139373","https://openalex.org/W2171468191","https://openalex.org/W2341925878","https://openalex.org/W2466065279","https://openalex.org/W2529763745","https://openalex.org/W2585120741","https://openalex.org/W2904568489","https://openalex.org/W2989166075","https://openalex.org/W3032943352","https://openalex.org/W3084254303","https://openalex.org/W3134916257","https://openalex.org/W3164575226","https://openalex.org/W3170200264","https://openalex.org/W3195535622","https://openalex.org/W3211265568","https://openalex.org/W4221100561","https://openalex.org/W6661147463","https://openalex.org/W6664341060"],"related_works":["https://openalex.org/W2884149040","https://openalex.org/W2363656491","https://openalex.org/W4376988598","https://openalex.org/W4388007941","https://openalex.org/W2151689585","https://openalex.org/W1581143638","https://openalex.org/W2380816257","https://openalex.org/W2031189000","https://openalex.org/W2159198570","https://openalex.org/W4386150570"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3],"the":[4,7,35,44,55,61,65,78,85,88,102,110,126,129,138,146],"estimation":[5,147],"of":[6,34,54,64,87,98,128,137],"parameters":[8,37,56],"for":[9],"asymmetric":[10],"distribution":[11,36,63],"and":[12,19,31,38,48,69,90,113],"some":[13],"lifetime":[14],"indices":[15],"such":[16],"as":[17],"reliability":[18,39,89],"hazard":[20,91],"rate":[21,141],"functions":[22,116],"based":[23,59,108],"on":[24,60,109],"progressive":[25],"first-failure":[26],"censoring.":[27],"Maximum":[28],"likelihood,":[29],"bootstrap":[30,99],"Bayesian":[32],"approaches":[33],"characteristics":[40],"are":[41,57,122],"investigated.":[42],"Furthermore,":[43],"approximate":[45],"confidence":[46,103],"intervals":[47,53],"highest":[49],"posterior":[50],"density":[51],"credible":[52],"constructed":[58],"asymptotic":[62],"maximum":[66],"likelihood":[67],"estimators":[68],"Markov":[70],"chain":[71],"Monte":[72],"Carlo":[73],"technique,":[74],"respectively.":[75],"In":[76],"addition,":[77],"delta":[79],"method":[80],"is":[81,117,142],"implemented":[82],"to":[83,100,124,144],"obtain":[84],"variances":[86],"functions.":[92],"Moreover,":[93],"we":[94],"apply":[95],"two":[96],"methods":[97,148],"construct":[101],"intervals.":[104],"The":[105],"Bayes":[106],"inference":[107],"squared":[111],"error":[112],"LINEX":[114],"loss":[115],"obtained.":[118],"Extensive":[119],"simulation":[120],"studies":[121],"conducted":[123],"evaluate":[125],"behavior":[127],"proposed":[130],"methods.":[131],"Finally,":[132],"a":[133],"real":[134],"data":[135],"set":[136],"COVID-19":[139],"mortality":[140],"analyzed":[143],"illustrate":[145],"developed":[149],"here.":[150]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2}],"updated_date":"2026-05-22T06:13:13.366637","created_date":"2025-10-10T00:00:00"}