{"id":"https://openalex.org/W4404692481","doi":"https://doi.org/10.3390/axioms13120822","title":"Estimating the Lifetime Parameters of the Odd-Generalized-Exponential\u2013Inverse-Weibull Distribution Using Progressive First-Failure Censoring: A Methodology with an Application","display_name":"Estimating the Lifetime Parameters of the Odd-Generalized-Exponential\u2013Inverse-Weibull Distribution Using Progressive First-Failure Censoring: A Methodology with an Application","publication_year":2024,"publication_date":"2024-11-25","ids":{"openalex":"https://openalex.org/W4404692481","doi":"https://doi.org/10.3390/axioms13120822"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13120822","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13120822","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/axioms13120822","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Mahmoud M. Ramadan","orcid":null},"institutions":[{"id":"https://openalex.org/I107720978","display_name":"Ain Shams University","ror":"https://ror.org/00cb9w016","country_code":"EG","type":"education","lineage":["https://openalex.org/I107720978"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Mahmoud M. Ramadan","raw_affiliation_strings":["Department of Mathematics, Faculty of Education, Ain Shams University, Roxy 11341, Cairo, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Education, Ain Shams University, Roxy 11341, Cairo, Egypt","institution_ids":["https://openalex.org/I107720978"]}]},{"author_position":"middle","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":true,"raw_author_name":"Rashad M. EL-Sagheer","raw_affiliation_strings":["High Institute of Computer and Management Information System, First Statement, New Cairo 11865, Cairo, Egypt","Mathematics Department, Faculty of Science, Al-Azhar University, Naser City 11884, Cairo, Egypt"],"raw_orcid":"https://orcid.org/0000-0002-7828-3536","affiliations":[{"raw_affiliation_string":"High Institute of Computer and Management Information System, First Statement, New Cairo 11865, Cairo, Egypt","institution_ids":[]},{"raw_affiliation_string":"Mathematics Department, Faculty of Science, Al-Azhar University, Naser City 11884, Cairo, Egypt","institution_ids":["https://openalex.org/I184834183"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004727187","display_name":"Amel Abd-El-Monem","orcid":null},"institutions":[{"id":"https://openalex.org/I107720978","display_name":"Ain Shams University","ror":"https://ror.org/00cb9w016","country_code":"EG","type":"education","lineage":["https://openalex.org/I107720978"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Amel Abd-El-Monem","raw_affiliation_strings":["Department of Mathematics, Faculty of Education, Ain Shams University, Roxy 11341, Cairo, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Education, Ain Shams University, Roxy 11341, Cairo, Egypt","institution_ids":["https://openalex.org/I107720978"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5017684804"],"corresponding_institution_ids":["https://openalex.org/I184834183"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":2.4974,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.90408465,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"13","issue":"12","first_page":"822","last_page":"822"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9833999872207642,"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"}},{"id":"https://openalex.org/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9800000190734863,"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/mathematics","display_name":"Mathematics","score":0.7232105731964111},{"id":"https://openalex.org/keywords/censoring","display_name":"Censoring (clinical trials)","score":0.6924710273742676},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.6668670177459717},{"id":"https://openalex.org/keywords/weibull-distribution","display_name":"Weibull distribution","score":0.6342212557792664},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5762639045715332},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.49380096793174744},{"id":"https://openalex.org/keywords/confidence-interval","display_name":"Confidence interval","score":0.4776443541049957},{"id":"https://openalex.org/keywords/exponential-distribution","display_name":"Exponential distribution","score":0.46534618735313416},{"id":"https://openalex.org/keywords/fisher-information","display_name":"Fisher information","score":0.45737433433532715},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44313371181488037},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.3672884702682495}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7232105731964111},{"id":"https://openalex.org/C137668524","wikidata":"https://www.wikidata.org/wiki/Q189813","display_name":"Censoring (clinical trials)","level":2,"score":0.6924710273742676},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6668670177459717},{"id":"https://openalex.org/C173291955","wikidata":"https://www.wikidata.org/wiki/Q732332","display_name":"Weibull distribution","level":2,"score":0.6342212557792664},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5762639045715332},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.49380096793174744},{"id":"https://openalex.org/C44249647","wikidata":"https://www.wikidata.org/wiki/Q208498","display_name":"Confidence interval","level":2,"score":0.4776443541049957},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.46534618735313416},{"id":"https://openalex.org/C29406490","wikidata":"https://www.wikidata.org/wiki/Q1420659","display_name":"Fisher information","level":2,"score":0.45737433433532715},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44313371181488037},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.3672884702682495}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms13120822","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13120822","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:6b8f81152bb546ffbf0f92e31ac8fa2c","is_oa":true,"landing_page_url":"https://doaj.org/article/6b8f81152bb546ffbf0f92e31ac8fa2c","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":"Axioms, Vol 13, Iss 12, p 822 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms13120822","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13120822","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":50,"referenced_works":["https://openalex.org/W1965250302","https://openalex.org/W1970592510","https://openalex.org/W2017596715","https://openalex.org/W2020999234","https://openalex.org/W2026030249","https://openalex.org/W2026931018","https://openalex.org/W2028292402","https://openalex.org/W2055963842","https://openalex.org/W2056760934","https://openalex.org/W2087615897","https://openalex.org/W2089408108","https://openalex.org/W2090001193","https://openalex.org/W2138309709","https://openalex.org/W2168311179","https://openalex.org/W2481970566","https://openalex.org/W2559999069","https://openalex.org/W2655395699","https://openalex.org/W2780835395","https://openalex.org/W2795329500","https://openalex.org/W2895640080","https://openalex.org/W2970168716","https://openalex.org/W3164597526","https://openalex.org/W4220780651","https://openalex.org/W4250828386","https://openalex.org/W4306248759","https://openalex.org/W4312990837","https://openalex.org/W4318704898","https://openalex.org/W4320726915","https://openalex.org/W4321226268","https://openalex.org/W4321851556","https://openalex.org/W4384303466","https://openalex.org/W4385271019","https://openalex.org/W4385303345","https://openalex.org/W4387702230","https://openalex.org/W4391692275","https://openalex.org/W4393988587","https://openalex.org/W4394908705","https://openalex.org/W4399287921","https://openalex.org/W4400111774","https://openalex.org/W4400226706","https://openalex.org/W4400380059","https://openalex.org/W4400624565","https://openalex.org/W4401384944","https://openalex.org/W4401667325","https://openalex.org/W4401887107","https://openalex.org/W4410226228","https://openalex.org/W6766745044","https://openalex.org/W6838987592","https://openalex.org/W6849221707","https://openalex.org/W6868504707"],"related_works":["https://openalex.org/W2058854313","https://openalex.org/W1620508096","https://openalex.org/W7342976","https://openalex.org/W2357734103","https://openalex.org/W1490217699","https://openalex.org/W2018690110","https://openalex.org/W3195534432","https://openalex.org/W2123537464","https://openalex.org/W2085667044","https://openalex.org/W645139937"],"abstract_inverted_index":{"This":[0,146],"paper":[1],"investigates":[2],"statistical":[3],"methods":[4,150],"for":[5,29,60,95,124,140,165,174],"estimating":[6],"unknown":[7],"lifetime":[8,19],"parameters":[9,62,142],"using":[10,79],"a":[11],"progressive":[12],"first-failure":[13],"censoring":[14],"dataset.":[15],"The":[16,49,73],"failure":[17],"mode\u2019s":[18],"distribution":[20,68],"is":[21,52,77,88,180],"modeled":[22],"by":[23],"the":[24,30,34,61,66,70,80,85,92,96,110,132,141,185],"odd-generalized-exponential\u2013inverse-Weibull":[25],"distribution.":[26],"Maximum-likelihood":[27],"estimators":[28,106],"model":[31],"parameters,":[32],"including":[33],"survival,":[35,97],"hazard,":[36],"and":[37,84,100,115,136,143,157,171],"inverse":[38,101],"hazard":[39,98,102],"rate":[40,103],"functions,":[41,119],"are":[42,63],"obtained,":[43],"though":[44],"they":[45],"lack":[46],"closed-form":[47],"expressions.":[48],"Newton\u2013Raphson":[50],"method":[51,87],"used":[53],"to":[54,90,183],"compute":[55],"these":[56,149],"estimations.":[57],"Confidence":[58],"intervals":[59,94,135],"approximated":[64],"via":[65],"normal":[67],"of":[69],"maximum-likelihood":[71,158],"estimation.":[72],"Fisher":[74],"information":[75,82],"matrix":[76],"derived":[78],"missing":[81],"principle,":[83],"delta":[86],"applied":[89],"approximate":[91],"confidence":[93],"rate,":[99],"functions.":[104],"Bayes":[105,156],"were":[107],"calculated":[108],"with":[109],"squared":[111,163],"error,":[112],"linear":[113],"exponential,":[114],"general":[116],"entropy":[117],"loss":[118],"utilizing":[120],"independent":[121],"gamma":[122],"distributions":[123],"informative":[125],"priors.":[126],"Markov-chain":[127],"Monte":[128,152],"Carlo":[129,153],"sampling":[130],"provides":[131],"highest-posterior-density":[133],"credible":[134],"Bayesian":[137],"point":[138,166],"estimates":[139,159],"reliability":[144],"characteristics.":[145],"study":[147],"evaluates":[148],"through":[151],"simulations,":[154],"comparing":[155],"based":[160],"on":[161],"mean":[162],"errors":[164],"estimates,":[167],"average":[168],"interval":[169,175],"widths,":[170],"coverage":[172],"probabilities":[173],"estimators.":[176],"A":[177],"real":[178],"dataset":[179],"also":[181],"analyzed":[182],"illustrate":[184],"proposed":[186],"methods.":[187]},"counts_by_year":[{"year":2025,"cited_by_count":4}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
