{"id":"https://openalex.org/W4388731767","doi":"https://doi.org/10.3390/axioms12111054","title":"Stress\u2013Strength Reliability Analysis for Different Distributions Using Progressive Type-II Censoring with Binomial Removal","display_name":"Stress\u2013Strength Reliability Analysis for Different Distributions Using Progressive Type-II Censoring with Binomial Removal","publication_year":2023,"publication_date":"2023-11-15","ids":{"openalex":"https://openalex.org/W4388731767","doi":"https://doi.org/10.3390/axioms12111054"},"language":"en","primary_location":{"id":"doi:10.3390/axioms12111054","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12111054","pdf_url":"https://www.mdpi.com/2075-1680/12/11/1054/pdf?version=1700066280","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://www.mdpi.com/2075-1680/12/11/1054/pdf?version=1700066280","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029121877","display_name":"Ibrahim Elbatal","orcid":"https://orcid.org/0000-0003-3479-5967"},"institutions":[{"id":"https://openalex.org/I240666556","display_name":"Imam Mohammad ibn Saud Islamic University","ror":"https://ror.org/05gxjyb39","country_code":"SA","type":"education","lineage":["https://openalex.org/I240666556"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Ibrahim Elbatal","raw_affiliation_strings":["Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia","institution_ids":["https://openalex.org/I240666556"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048338546","display_name":"Amal S. Hassan","orcid":"https://orcid.org/0000-0003-4442-8458"},"institutions":[{"id":"https://openalex.org/I145487455","display_name":"Cairo University","ror":"https://ror.org/03q21mh05","country_code":"EG","type":"education","lineage":["https://openalex.org/I145487455"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Amal S. Hassan","raw_affiliation_strings":["Faculty of Graduate Studies for Statistical Research, Cairo University, 5 Dr. Ahmed Zewail Street, Giza 12613, Egypt"],"raw_orcid":"https://orcid.org/0000-0003-4442-8458","affiliations":[{"raw_affiliation_string":"Faculty of Graduate Studies for Statistical Research, Cairo University, 5 Dr. Ahmed Zewail Street, Giza 12613, Egypt","institution_ids":["https://openalex.org/I145487455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039487088","display_name":"L. S. Diab","orcid":null},"institutions":[{"id":"https://openalex.org/I240666556","display_name":"Imam Mohammad ibn Saud Islamic University","ror":"https://ror.org/05gxjyb39","country_code":"SA","type":"education","lineage":["https://openalex.org/I240666556"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"L. S. Diab","raw_affiliation_strings":["Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia","institution_ids":["https://openalex.org/I240666556"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082246873","display_name":"Anis Ben Ghorbal","orcid":"https://orcid.org/0000-0001-5501-327X"},"institutions":[{"id":"https://openalex.org/I240666556","display_name":"Imam Mohammad ibn Saud Islamic University","ror":"https://ror.org/05gxjyb39","country_code":"SA","type":"education","lineage":["https://openalex.org/I240666556"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Anis Ben Ghorbal","raw_affiliation_strings":["Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0001-5501-327X","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia","institution_ids":["https://openalex.org/I240666556"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026468035","display_name":"Mohammed Elgarhy","orcid":"https://orcid.org/0000-0002-1333-3862"},"institutions":[{"id":"https://openalex.org/I113643904","display_name":"Beni-Suef University","ror":"https://ror.org/05pn4yv70","country_code":"EG","type":"education","lineage":["https://openalex.org/I113643904"]},{"id":"https://openalex.org/I4210139959","display_name":"High Institute for Management Sciences","ror":"https://ror.org/04tcyer40","country_code":"EG","type":"education","lineage":["https://openalex.org/I4210139959"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Mohammed Elgarhy","raw_affiliation_strings":["Department of Basic Sciences, Higher Institute of Administrative Sciences, Belbeis 44621, Egypt","Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University, Beni-Suef 62521, Egypt"],"raw_orcid":"https://orcid.org/0000-0002-1333-3862","affiliations":[{"raw_affiliation_string":"Department of Basic Sciences, Higher Institute of Administrative Sciences, Belbeis 44621, Egypt","institution_ids":["https://openalex.org/I4210139959"]},{"raw_affiliation_string":"Mathematics and Computer Science Department, Faculty of Science, Beni-Suef University, Beni-Suef 62521, Egypt","institution_ids":["https://openalex.org/I113643904"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076710709","display_name":"Ahmed R. El\u2010Saeed","orcid":"https://orcid.org/0000-0001-8303-1782"},"institutions":[{"id":"https://openalex.org/I4210132304","display_name":"Obour Institutes","ror":"https://ror.org/046ksv218","country_code":"EG","type":"education","lineage":["https://openalex.org/I4210132304"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Ahmed R. El-Saeed","raw_affiliation_strings":["Department of Basic Sciences, Obour High Institute for Management & Informatics, Obour 11828, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Basic Sciences, Obour High Institute for Management & Informatics, Obour 11828, Egypt","institution_ids":["https://openalex.org/I4210132304"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5029121877"],"corresponding_institution_ids":["https://openalex.org/I240666556"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":3.4142,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.93878185,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"12","issue":"11","first_page":"1054","last_page":"1054"},"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9970999956130981,"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/T10780","display_name":"Reliability and Maintenance Optimization","score":0.9937000274658203,"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/mathematics","display_name":"Mathematics","score":0.772068977355957},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.6624515056610107},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.636463463306427},{"id":"https://openalex.org/keywords/bayes-theorem","display_name":"Bayes' theorem","score":0.5746325254440308},{"id":"https://openalex.org/keywords/censoring","display_name":"Censoring (clinical trials)","score":0.5591186881065369},{"id":"https://openalex.org/keywords/prior-probability","display_name":"Prior probability","score":0.4854479432106018},{"id":"https://openalex.org/keywords/negative-binomial-distribution","display_name":"Negative binomial distribution","score":0.47778066992759705},{"id":"https://openalex.org/keywords/exponential-distribution","display_name":"Exponential distribution","score":0.4661591947078705},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.4637051224708557},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.4620792865753174},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.44859352707862854},{"id":"https://openalex.org/keywords/binomial-distribution","display_name":"Binomial distribution","score":0.42111191153526306},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38921958208084106},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.19907113909721375},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.19805479049682617},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.172761470079422}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.772068977355957},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.6624515056610107},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.636463463306427},{"id":"https://openalex.org/C207201462","wikidata":"https://www.wikidata.org/wiki/Q182505","display_name":"Bayes' theorem","level":3,"score":0.5746325254440308},{"id":"https://openalex.org/C137668524","wikidata":"https://www.wikidata.org/wiki/Q189813","display_name":"Censoring (clinical trials)","level":2,"score":0.5591186881065369},{"id":"https://openalex.org/C177769412","wikidata":"https://www.wikidata.org/wiki/Q278090","display_name":"Prior probability","level":3,"score":0.4854479432106018},{"id":"https://openalex.org/C199335787","wikidata":"https://www.wikidata.org/wiki/Q743364","display_name":"Negative binomial distribution","level":3,"score":0.47778066992759705},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.4661591947078705},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4637051224708557},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.4620792865753174},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.44859352707862854},{"id":"https://openalex.org/C41054675","wikidata":"https://www.wikidata.org/wiki/Q185547","display_name":"Binomial distribution","level":2,"score":0.42111191153526306},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38921958208084106},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.19907113909721375},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.19805479049682617},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.172761470079422}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms12111054","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12111054","pdf_url":"https://www.mdpi.com/2075-1680/12/11/1054/pdf?version=1700066280","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:4417d9bad6c347f1bda0b66ca95fa3f3","is_oa":true,"landing_page_url":"https://doaj.org/article/4417d9bad6c347f1bda0b66ca95fa3f3","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 12, Iss 11, p 1054 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/12/11/1054/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms12111054","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":"Axioms","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms12111054","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms12111054","pdf_url":"https://www.mdpi.com/2075-1680/12/11/1054/pdf?version=1700066280","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":[{"score":0.6000000238418579,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G3756082453","display_name":null,"funder_award_id":"IMSIU-RP23009","funder_id":"https://openalex.org/F4320321420","funder_display_name":"Imam Mohammed Ibn Saud Islamic University"}],"funders":[{"id":"https://openalex.org/F4320321420","display_name":"Imam Mohammed Ibn Saud Islamic University","ror":"https://ror.org/05gxjyb39"},{"id":"https://openalex.org/F4320325415","display_name":"Al-Imam Muhammad Ibn Saud Islamic University","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4388731767.pdf","grobid_xml":"https://content.openalex.org/works/W4388731767.grobid-xml"},"referenced_works_count":63,"referenced_works":["https://openalex.org/W227954495","https://openalex.org/W612010249","https://openalex.org/W1498017815","https://openalex.org/W1513499885","https://openalex.org/W1520479494","https://openalex.org/W1710936373","https://openalex.org/W1965349259","https://openalex.org/W1969367331","https://openalex.org/W1988664720","https://openalex.org/W1992195343","https://openalex.org/W2017017989","https://openalex.org/W2017596715","https://openalex.org/W2020333539","https://openalex.org/W2021949567","https://openalex.org/W2022250041","https://openalex.org/W2028151915","https://openalex.org/W2030453002","https://openalex.org/W2033344294","https://openalex.org/W2039604267","https://openalex.org/W2048509646","https://openalex.org/W2055646145","https://openalex.org/W2061885628","https://openalex.org/W2067280784","https://openalex.org/W2070881262","https://openalex.org/W2072972162","https://openalex.org/W2079086475","https://openalex.org/W2086783012","https://openalex.org/W2087792741","https://openalex.org/W2104547377","https://openalex.org/W2133909919","https://openalex.org/W2154761394","https://openalex.org/W2163271914","https://openalex.org/W2173021927","https://openalex.org/W2215690741","https://openalex.org/W2336042159","https://openalex.org/W2490166567","https://openalex.org/W2557228573","https://openalex.org/W2607423273","https://openalex.org/W2781546850","https://openalex.org/W2885001924","https://openalex.org/W2923453349","https://openalex.org/W2970259456","https://openalex.org/W3193639949","https://openalex.org/W3197608592","https://openalex.org/W4205963380","https://openalex.org/W4224306192","https://openalex.org/W4234158991","https://openalex.org/W4250828386","https://openalex.org/W4252391766","https://openalex.org/W4295854286","https://openalex.org/W4317243158","https://openalex.org/W4320726915","https://openalex.org/W4361800663","https://openalex.org/W4377289110","https://openalex.org/W4377291992","https://openalex.org/W4380992883","https://openalex.org/W4385693300","https://openalex.org/W6637716311","https://openalex.org/W6648401542","https://openalex.org/W6747383376","https://openalex.org/W6849221707","https://openalex.org/W6853702302","https://openalex.org/W7065928713"],"related_works":["https://openalex.org/W2037403216","https://openalex.org/W645139937","https://openalex.org/W2085667044","https://openalex.org/W2793829816","https://openalex.org/W1602555103","https://openalex.org/W2569992975","https://openalex.org/W2378792996","https://openalex.org/W1965900207","https://openalex.org/W2372701824","https://openalex.org/W120285656"],"abstract_inverted_index":{"In":[0],"the":[1,6,27,52,80,85,109,119,131,136],"statistical":[2],"literature,":[3],"one":[4],"of":[5,54,99,106,111,133,148],"most":[7],"important":[8],"subjects":[9],"that":[10,70],"is":[11,14,18,36,45,101,115,162],"commonly":[12],"used":[13,46],"stress\u2013strength":[15],"reliability,":[16],"which":[17],"defined":[19],"as":[20],"\u03b4=PW&lt;V,":[21],"where":[22],"V":[23,61,71],"and":[24,29,34,62,72,84,125,144,150],"W":[25,73],"are":[26,74],"strength":[28,60],"stress":[30,66],"random":[31,76],"variables,":[32],"respectively,":[33,89],"\u03b4":[35,100,107],"reliability":[37],"parameter.":[38,94],"Type-II":[39],"progressive":[40],"censoring":[41],"with":[42,59,90],"binomial":[43],"removal":[44],"in":[47,130],"this":[48],"study":[49],"to":[50,65],"examine":[51],"inference":[53],"\u03b4=PW&lt;V":[55],"for":[56,122,173],"a":[57,91],"component":[58],"being":[63],"subjected":[64],"W.":[67],"We":[68],"suppose":[69],"independent":[75,112],"variables":[77],"taken":[78],"from":[79],"Burr":[81,86],"XII":[82],"distribution":[83],"III":[87],"distribution,":[88],"common":[92],"shape":[93],"The":[95,103],"maximum":[96],"likelihood":[97],"estimator":[98,105],"derived.":[102,116],"Bayes":[104,120],"under":[108,179],"assumption":[110],"gamma":[113],"priors":[114],"To":[117],"determine":[118],"estimates":[121,149],"squared":[123,153],"error":[124],"linear":[126],"exponential":[127],"loss":[128],"functions":[129],"lack":[132],"explicit":[134],"forms,":[135],"Metropolis\u2013Hastings":[137],"method":[138],"was":[139],"provided.":[140],"Utilizing":[141],"comprehensive":[142],"simulations":[143],"two":[145,165],"metrics":[146],"(average":[147],"root":[151],"mean":[152],"errors),":[154],"we":[155],"compare":[156],"these":[157],"estimators.":[158],"Further,":[159],"an":[160],"analysis":[161],"performed":[163],"on":[164,170],"actual":[166],"data":[167],"sets":[168],"based":[169],"breakdown":[171],"times":[172],"insulating":[174],"fluid":[175],"between":[176],"electrodes":[177],"recorded":[178],"varying":[180],"voltages.":[181]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":8}],"updated_date":"2026-06-09T15:46:55.921056","created_date":"2025-10-10T00:00:00"}
