{"id":"https://openalex.org/W7220142048","doi":null,"title":"Estimation Methods for the Modified Generalized Linear Exponential Distribution and Its Applications in Engineering Data","display_name":"Estimation Methods for the Modified Generalized Linear Exponential Distribution and Its Applications in Engineering Data","publication_year":2026,"publication_date":"2026-09-30","ids":{"openalex":"https://openalex.org/W7220142048"},"language":"en","primary_location":{"id":"pmh:oai:ph02.tci-thaijo.org:article/268361","doi":null,"is_oa":true,"landing_page_url":"https://ph02.tci-thaijo.org/index.php/thaistat/article/view/268361","pdf_url":"https://ph02.tci-thaijo.org/index.php/thaistat/article/download/268361/174569","source":{"id":"https://openalex.org/S2764970177","display_name":"Thailand Statistician Thailand","issn_l":"2351-0676","issn":["2351-0676"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","poland-20","russia-white-list-4"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"1685-9057","raw_type":"info:eu-repo/semantics/article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ph02.tci-thaijo.org/index.php/thaistat/article/download/268361/174569","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030351648","display_name":"Mohamed G. M. Ghazal","orcid":"https://orcid.org/0000-0002-3835-2509","observed_orcids":["https://orcid.org/0000-0002-3835-2509"]},"institutions":[{"id":"https://openalex.org/I89466785","display_name":"Minia University","ror":"https://ror.org/02hcv4z63","country_code":"EG","type":"education","lineage":["https://openalex.org/I89466785"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Ghazal, M.G.M.","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Minia University, Minia, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Minia University, Minia, Egypt","institution_ids":["https://openalex.org/I89466785"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5030351648"],"corresponding_institution_ids":["https://openalex.org/I89466785"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":1.0,"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":1.0,"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/T10780","display_name":"Reliability and Maintenance Optimization","score":0.0,"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"}},{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.0,"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/lifetime-distributions","display_name":"lifetime distributions","score":0.9459999799728394},{"id":"https://openalex.org/keywords/bathtub-shaped-hazard-rate","display_name":"bathtub-shaped hazard rate","score":0.8289999961853027},{"id":"https://openalex.org/keywords/parameter-estimation","display_name":"parameter estimation","score":0.5389999747276306},{"id":"https://openalex.org/keywords/maximum-likelihood-estimation","display_name":"maximum likelihood estimation","score":0.9959999918937683},{"id":"https://openalex.org/keywords/cramer-von-mises-estimation","display_name":"Cramer-von Mises estimation","score":0.9240000247955322},{"id":"https://openalex.org/keywords/weighted-least-squares-estimation","display_name":"weighted least squares estimation","score":0.7630000114440918},{"id":"https://openalex.org/keywords/least-squares-estimation","display_name":"least squares estimation","score":0.8169999718666077},{"id":"https://openalex.org/keywords/goodness-of-fit","display_name":"goodness of fit","score":0.6909999847412109},{"id":"https://openalex.org/keywords/model-selection-criteria","display_name":"model selection criteria","score":0.8479999899864197},{"id":"https://openalex.org/keywords/reliability-data","display_name":"reliability data","score":0.4950000047683716},{"id":"https://openalex.org/keywords/engineering-data","display_name":"engineering data","score":0.7360000014305115}],"concepts":[{"id":"https://openalex.org/C126674687","wikidata":"https://www.wikidata.org/wiki/Q1662573","display_name":"Akaike information criterion","level":2,"score":0.8927000164985657},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6236000061035156},{"id":"https://openalex.org/C168136583","wikidata":"https://www.wikidata.org/wiki/Q1988242","display_name":"Bayesian information criterion","level":2,"score":0.5357999801635742},{"id":"https://openalex.org/C41587187","wikidata":"https://www.wikidata.org/wiki/Q1501882","display_name":"Generalized linear model","level":2,"score":0.5127000212669373},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4950000047683716},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.4943000078201294},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.47589999437332153},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.4645000100135803},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40790000557899475},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.39419999718666077},{"id":"https://openalex.org/C93959086","wikidata":"https://www.wikidata.org/wiki/Q6888345","display_name":"Model selection","level":2,"score":0.3905999958515167},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3686000108718872},{"id":"https://openalex.org/C188649462","wikidata":"https://www.wikidata.org/wiki/Q2246261","display_name":"Generalized least squares","level":3,"score":0.3659000098705292},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.3637000024318695},{"id":"https://openalex.org/C2776709221","wikidata":"https://www.wikidata.org/wiki/Q6031040","display_name":"Information Criteria","level":3,"score":0.351500004529953},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.34220001101493835},{"id":"https://openalex.org/C29406490","wikidata":"https://www.wikidata.org/wiki/Q1420659","display_name":"Fisher information","level":2,"score":0.337799996137619},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.337799996137619},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.32910001277923584},{"id":"https://openalex.org/C163175372","wikidata":"https://www.wikidata.org/wiki/Q3339222","display_name":"Linear model","level":2,"score":0.322299987077713},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3098999857902527},{"id":"https://openalex.org/C55974624","wikidata":"https://www.wikidata.org/wiki/Q1188504","display_name":"Exponential family","level":2,"score":0.3084999918937683},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.3018999993801117},{"id":"https://openalex.org/C24574437","wikidata":"https://www.wikidata.org/wiki/Q7135228","display_name":"Parametric model","level":3,"score":0.287200003862381},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.28380000591278076},{"id":"https://openalex.org/C153720581","wikidata":"https://www.wikidata.org/wiki/Q5532490","display_name":"Generalized linear mixed model","level":2,"score":0.2777000069618225},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27320000529289246},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.2720000147819519},{"id":"https://openalex.org/C129848803","wikidata":"https://www.wikidata.org/wiki/Q2564360","display_name":"Sample size determination","level":2,"score":0.2680000066757202},{"id":"https://openalex.org/C173291955","wikidata":"https://www.wikidata.org/wiki/Q732332","display_name":"Weibull distribution","level":2,"score":0.2669999897480011},{"id":"https://openalex.org/C204016326","wikidata":"https://www.wikidata.org/wiki/Q5401384","display_name":"Estimating equations","level":3,"score":0.2621999979019165},{"id":"https://openalex.org/C58663186","wikidata":"https://www.wikidata.org/wiki/Q6553462","display_name":"Linear least squares","level":3,"score":0.25589999556541443},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.2547999918460846},{"id":"https://openalex.org/C4162061","wikidata":"https://www.wikidata.org/wiki/Q177144","display_name":"F-distribution","level":3,"score":0.25220000743865967}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:ph02.tci-thaijo.org:article/268361","doi":null,"is_oa":true,"landing_page_url":"https://ph02.tci-thaijo.org/index.php/thaistat/article/view/268361","pdf_url":"https://ph02.tci-thaijo.org/index.php/thaistat/article/download/268361/174569","source":{"id":"https://openalex.org/S2764970177","display_name":"Thailand Statistician Thailand","issn_l":"2351-0676","issn":["2351-0676"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","poland-20","russia-white-list-4"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"1685-9057","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:ph02.tci-thaijo.org:article/268361","doi":null,"is_oa":true,"landing_page_url":"https://ph02.tci-thaijo.org/index.php/thaistat/article/view/268361","pdf_url":"https://ph02.tci-thaijo.org/index.php/thaistat/article/download/268361/174569","source":{"id":"https://openalex.org/S2764970177","display_name":"Thailand Statistician Thailand","issn_l":"2351-0676","issn":["2351-0676"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["dongbi-c","poland-20","russia-white-list-4"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"1685-9057","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220142048.pdf","grobid_xml":"https://content.openalex.org/works/W7220142048.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2981696360","https://openalex.org/W2048263589","https://openalex.org/W4390418229","https://openalex.org/W2027584925","https://openalex.org/W2522872448","https://openalex.org/W4200163978","https://openalex.org/W4365450847","https://openalex.org/W2554300111","https://openalex.org/W2137486090","https://openalex.org/W7128824717"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"different":[3],"methods":[4,69,94,181,226,234],"for":[5,207],"estimating":[6],"the":[7,11,55,109,113,123,130,134,145,149,155,163,166,178,197,204,208,214,219,231,236],"unknown":[8],"parameters":[9],"of":[10,35,91,165,184],"modified":[12,59],"generalized":[13,62],"linear":[14,63],"exponential":[15,64],"distribution":[16],"(MGLED),":[17],"a":[18,200],"flexible":[19],"lifetime":[20,48,172],"model":[21,141],"that":[22,196,218],"can":[23],"accommodate":[24],"bathtub-shaped,":[25],"increasing,":[26],"and":[27,40,61,86,103,133,154,188,223],"decreasing":[28],"hazard":[29],"rate":[30],"functions.":[31],"The":[32,89,174,192],"MGLED":[33,167,198],"is":[34,95],"practical":[36],"importance":[37],"in":[38,182],"reliability":[39],"engineering":[41,100,210],"applications":[42],"because":[43],"it":[44],"includes":[45],"several":[46,170],"well-known":[47],"distributions":[49],"as":[50,54,235],"special":[51],"cases,":[52],"such":[53],"exponential,":[56],"Rayleigh,":[57],"Weibull,":[58,60],"distributions.":[65],"Five":[66],"classical":[67],"estimation":[68,93,180,222,225,233],"are":[70,116,159],"considered,":[71],"namely":[72],"maximum":[73,220],"likelihood":[74,221],"estimation,":[75,78,82,85],"least":[76,80],"squares":[77,81],"weighted":[79],"Cramer":[83,135],"von-Mises":[84,136],"Anderson-Darling":[87,131,224],"estimation.":[88],"performance":[90],"these":[92],"assessed":[96],"through":[97],"two":[98],"real":[99,110],"data":[101,111,211],"sets":[102],"an":[104],"extensive":[105],"simulation":[106,175,215],"study.":[107],"For":[108],"applications,":[112],"fitted":[114],"models":[115,206],"compared":[117],"using":[118],"non-parametric":[119],"goodness-of-fit":[120],"measures,":[121],"including":[122,144],"Kolmogorov-Smirnov":[124],"statistic":[125],"with":[126],"its":[127],"corresponding":[128],"P-value,":[129],"statistic,":[132],"statistic.":[137],"In":[138],"addition,":[139],"parametric":[140],"selection":[142],"criteria,":[143],"Akaike":[146,151],"information":[147,152,157],"criterion,":[148,153,158],"corrected":[150],"Hannan-Quinn":[156],"used":[160],"to":[161,169],"evaluate":[162],"adequacy":[164],"relative":[168],"competing":[171,205],"models.":[173],"study":[176],"compares":[177],"proposed":[179],"terms":[183],"mean":[185],"squared":[186],"error":[187],"average":[189],"absolute":[190],"bias.":[191],"numerical":[193],"results":[194,216],"show":[195],"provides":[199],"better":[201,229],"fit":[202],"than":[203,230],"considered":[209],"sets,":[212],"while":[213],"indicate":[217],"generally":[227],"perform":[228],"other":[232],"sample":[237],"size":[238],"increases.":[239]},"counts_by_year":[],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2026-10-05T00:00:00"}
