{"id":"https://openalex.org/W4412920797","doi":"https://doi.org/10.3390/axioms14080573","title":"Bayesian Analysis of the Maxwell Distribution Under Progressively Type-II Random Censoring","display_name":"Bayesian Analysis of the Maxwell Distribution Under Progressively Type-II Random Censoring","publication_year":2025,"publication_date":"2025-07-25","ids":{"openalex":"https://openalex.org/W4412920797","doi":"https://doi.org/10.3390/axioms14080573"},"language":"en","primary_location":{"id":"doi:10.3390/axioms14080573","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14080573","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/axioms14080573","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087974731","display_name":"Rajni Goel","orcid":"https://orcid.org/0000-0003-4078-7736"},"institutions":[{"id":"https://openalex.org/I933318745","display_name":"Dehradun Institute of Technology University","ror":"https://ror.org/01v5k4d73","country_code":"IN","type":"education","lineage":["https://openalex.org/I933318745"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Rajni Goel","raw_affiliation_strings":["Department of Mathematics, School of Physical Sciences, DIT University, Dehradun 248009, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Physical Sciences, DIT University, Dehradun 248009, India","institution_ids":["https://openalex.org/I933318745"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055182747","display_name":"Mahmoud M. Abdelwahab","orcid":"https://orcid.org/0000-0001-5758-1035"},"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":"Mahmoud M. Abdelwahab","raw_affiliation_strings":["Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia"],"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":"last","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":true,"raw_author_name":"Mustafa M. Hasaballah","raw_affiliation_strings":["Department of Basic Sciences, Marg Higher Institute of Engineering and Modern Technology, Cairo 11721, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Basic Sciences, Marg Higher Institute of Engineering and Modern Technology, Cairo 11721, Egypt","institution_ids":["https://openalex.org/I4210120363"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5074353523"],"corresponding_institution_ids":["https://openalex.org/I4210120363"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":11.444,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.98667919,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"14","issue":"8","first_page":"573","last_page":"573"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9980000257492065,"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":0.9930999875068665,"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/censoring","display_name":"Censoring (clinical trials)","score":0.8589931726455688},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.4860377907752991},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4854479432106018},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4687158167362213},{"id":"https://openalex.org/keywords/maxwell\u2013boltzmann-distribution","display_name":"Maxwell\u2013Boltzmann distribution","score":0.42745134234428406},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4267011284828186},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.42100614309310913},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.378140389919281},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22707942128181458},{"id":"https://openalex.org/keywords/plasma","display_name":"Plasma","score":0.07155242562294006}],"concepts":[{"id":"https://openalex.org/C137668524","wikidata":"https://www.wikidata.org/wiki/Q189813","display_name":"Censoring (clinical trials)","level":2,"score":0.8589931726455688},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.4860377907752991},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4854479432106018},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4687158167362213},{"id":"https://openalex.org/C203809815","wikidata":"https://www.wikidata.org/wiki/Q634965","display_name":"Maxwell\u2013Boltzmann distribution","level":3,"score":0.42745134234428406},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4267011284828186},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.42100614309310913},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.378140389919281},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22707942128181458},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.07155242562294006},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms14080573","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14080573","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:5d23ed74da3a41c3935a0baafd0dfc14","is_oa":true,"landing_page_url":"https://doaj.org/article/5d23ed74da3a41c3935a0baafd0dfc14","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 14, Iss 8, p 573 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms14080573","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms14080573","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1963821354","https://openalex.org/W1978181787","https://openalex.org/W1992492782","https://openalex.org/W2016972121","https://openalex.org/W2025244769","https://openalex.org/W2026727274","https://openalex.org/W2037501759","https://openalex.org/W2056760934","https://openalex.org/W2138309709","https://openalex.org/W2493671571","https://openalex.org/W2799523934","https://openalex.org/W2946792909","https://openalex.org/W3002251274","https://openalex.org/W3169854179","https://openalex.org/W4200303832","https://openalex.org/W4250828386","https://openalex.org/W4281939436","https://openalex.org/W4318704928","https://openalex.org/W4320726915","https://openalex.org/W4384662522","https://openalex.org/W4388207808","https://openalex.org/W4388575411","https://openalex.org/W4390778579","https://openalex.org/W4402750455","https://openalex.org/W4412009397"],"related_works":["https://openalex.org/W2884149040","https://openalex.org/W2363656491","https://openalex.org/W4376988598","https://openalex.org/W4388007941","https://openalex.org/W1581143638","https://openalex.org/W2031189000","https://openalex.org/W2159198570","https://openalex.org/W4386150570","https://openalex.org/W4232930125","https://openalex.org/W4243328373"],"abstract_inverted_index":{"Accurate":[0],"modeling":[1],"of":[2,47,53,145,152],"product":[3],"lifetimes":[4],"is":[5,65,155],"vital":[6],"in":[7],"reliability":[8],"analysis":[9],"and":[10,15,32,60,69,83,100,120],"engineering":[11],"to":[12,88],"ensure":[13],"quality":[14],"maintain":[16],"competitiveness.":[17],"This":[18],"paper":[19],"proposes":[20],"the":[21,36,44,90,94,108,131,143,146,153],"progressively":[22],"randomly":[23],"censored":[24],"Maxwell":[25,37,75],"distribution,":[26,76],"which":[27],"incorporates":[28],"both":[29,58],"progressive":[30],"Type-II":[31],"random":[33,61],"censoring":[34,62,70],"within":[35],"distribution":[38],"framework.":[39],"The":[40,149],"model":[41,91],"allows":[42],"for":[43,57],"planned":[45],"removal":[46],"surviving":[48],"units":[49],"at":[50],"specific":[51],"stages":[52],"an":[54,116],"experiment,":[55],"accounting":[56],"deliberate":[59],"events.":[63],"It":[64],"assumed":[66],"that":[67],"survival":[68],"times":[71],"each":[72],"follow":[73],"a":[74,123,158],"though":[77],"with":[78],"distinct":[79],"parameters.":[80,92],"Both":[81],"frequentist":[82,95],"Bayesian":[84,109],"approaches":[85],"are":[86,105,113],"employed":[87],"estimate":[89],"In":[93,107],"approach,":[96,110],"maximum":[97],"likelihood":[98],"estimators":[99,112],"their":[101],"corresponding":[102],"confidence":[103],"intervals":[104],"derived.":[106],"Bayes":[111],"obtained":[114],"using":[115,157],"inverse":[117],"gamma":[118],"prior":[119],"evaluated":[121],"through":[122],"Markov":[124],"Chain":[125],"Monte":[126,138],"Carlo":[127,139],"(MCMC)":[128],"method":[129],"under":[130],"squared":[132],"error":[133],"loss":[134],"function":[135],"(SELF).":[136],"A":[137],"simulation":[140],"study":[141],"evaluates":[142],"performance":[144],"proposed":[147],"estimators.":[148],"practical":[150],"relevance":[151],"methodology":[154],"demonstrated":[156],"real":[159],"data":[160],"set.":[161]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-13T16:22:10.518609","created_date":"2025-10-10T00:00:00"}