{"id":"https://openalex.org/W3155890629","doi":"https://doi.org/10.1080/03610918.2021.1908557","title":"A consistent method of estimation for three-parameter generalized exponential distribution","display_name":"A consistent method of estimation for three-parameter generalized exponential distribution","publication_year":2021,"publication_date":"2021-04-19","ids":{"openalex":"https://openalex.org/W3155890629","doi":"https://doi.org/10.1080/03610918.2021.1908557","mag":"3155890629"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2021.1908557","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2021.1908557","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001724307","display_name":"Kiran Prajapat","orcid":"https://orcid.org/0000-0001-6748-1193"},"institutions":[{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Kiran Prajapat","raw_affiliation_strings":["Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, India","institution_ids":["https://openalex.org/I94234084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083487265","display_name":"Sharmishtha Mitra","orcid":"https://orcid.org/0000-0002-4939-8473"},"institutions":[{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sharmishtha Mitra","raw_affiliation_strings":["Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, India","institution_ids":["https://openalex.org/I94234084"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049715298","display_name":"Debasis Kundu","orcid":"https://orcid.org/0000-0002-9141-422X"},"institutions":[{"id":"https://openalex.org/I94234084","display_name":"Indian Institute of Technology Kanpur","ror":"https://ror.org/05pjsgx75","country_code":"IN","type":"education","lineage":["https://openalex.org/I94234084"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Debasis Kundu","raw_affiliation_strings":["Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur, India","institution_ids":["https://openalex.org/I94234084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5001724307"],"corresponding_institution_ids":["https://openalex.org/I94234084"],"apc_list":null,"apc_paid":null,"fwci":0.2365,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56434635,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"52","issue":"6","first_page":"2471","last_page":"2487"},"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":0.9936000108718872,"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":0.9803000092506409,"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/weibull-distribution","display_name":"Weibull distribution","score":0.6657066345214844},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6562627553939819},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6352612972259521},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.5794687271118164},{"id":"https://openalex.org/keywords/scale-parameter","display_name":"Scale parameter","score":0.5792118906974792},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5742136240005493},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5341523885726929},{"id":"https://openalex.org/keywords/exponential-distribution","display_name":"Exponential distribution","score":0.5274795889854431},{"id":"https://openalex.org/keywords/shape-parameter","display_name":"Shape parameter","score":0.5226228833198547},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5064438581466675},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.50040602684021},{"id":"https://openalex.org/keywords/likelihood-function","display_name":"Likelihood function","score":0.484193354845047},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.47622114419937134},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4696974754333496},{"id":"https://openalex.org/keywords/location-parameter","display_name":"Location parameter","score":0.460178017616272},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.4360148012638092},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13812434673309326}],"concepts":[{"id":"https://openalex.org/C173291955","wikidata":"https://www.wikidata.org/wiki/Q732332","display_name":"Weibull distribution","level":2,"score":0.6657066345214844},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6562627553939819},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6352612972259521},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.5794687271118164},{"id":"https://openalex.org/C91716921","wikidata":"https://www.wikidata.org/wiki/Q1289366","display_name":"Scale parameter","level":2,"score":0.5792118906974792},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5742136240005493},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5341523885726929},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.5274795889854431},{"id":"https://openalex.org/C199435849","wikidata":"https://www.wikidata.org/wiki/Q3179293","display_name":"Shape parameter","level":2,"score":0.5226228833198547},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5064438581466675},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.50040602684021},{"id":"https://openalex.org/C89106044","wikidata":"https://www.wikidata.org/wiki/Q45284","display_name":"Likelihood function","level":3,"score":0.484193354845047},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.47622114419937134},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4696974754333496},{"id":"https://openalex.org/C18294631","wikidata":"https://www.wikidata.org/wiki/Q2621185","display_name":"Location parameter","level":3,"score":0.460178017616272},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.4360148012638092},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13812434673309326},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610918.2021.1908557","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2021.1908557","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1496753898","https://openalex.org/W1969041557","https://openalex.org/W1976004269","https://openalex.org/W1976954248","https://openalex.org/W1980636503","https://openalex.org/W1991856788","https://openalex.org/W2006458583","https://openalex.org/W2007729786","https://openalex.org/W2027224733","https://openalex.org/W2034804327","https://openalex.org/W2043821149","https://openalex.org/W2052740195","https://openalex.org/W2056099894","https://openalex.org/W2067660128","https://openalex.org/W2085546606","https://openalex.org/W2104037336","https://openalex.org/W2112105596","https://openalex.org/W2122113414","https://openalex.org/W2152485919","https://openalex.org/W2188564768","https://openalex.org/W2316296768","https://openalex.org/W4213201159","https://openalex.org/W4230155399","https://openalex.org/W4251870584"],"related_works":["https://openalex.org/W4303449417","https://openalex.org/W2015009561","https://openalex.org/W2035211839","https://openalex.org/W1966403432","https://openalex.org/W2118313191","https://openalex.org/W1976296997","https://openalex.org/W2369363182","https://openalex.org/W4253782909","https://openalex.org/W2898802606","https://openalex.org/W2789842384"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3],"provide":[4],"a":[5,14,32,91,122],"consistent":[6,54,79],"method":[7,28,55],"of":[8,13,23,36,56,84,106,121],"estimation":[9,35,57,102],"for":[10,58,80],"the":[11,21,37,59,74,81,85,97,107,115,118],"parameters":[12],"three-parameter":[15,60],"generalized":[16],"exponential":[17],"distribution":[18],"which":[19,40],"avoids":[20],"problem":[22],"unbounded":[24],"likelihood":[25,34],"function.":[26],"The":[27],"is":[29],"based":[30],"on":[31],"maximum":[33],"shape":[38],"parameter,":[39],"uses":[41],"location":[42],"and":[43,78,109],"scale":[44],"invariant":[45],"statistic,":[46],"originally":[47],"proposed":[48],"by":[49],"Nagatsuka":[50],"et":[51],"al.":[52],"(A":[53],"weibull":[61],"distribution,":[62],"Computational":[63],"Statistics":[64],"&":[65],"Data":[66],"Analysis":[67],"58:210\u201326).":[68],"It":[69],"has":[70,127],"been":[71,128],"shown":[72],"that":[73],"estimators":[75],"are":[76],"unique":[77],"entire":[82],"range":[83],"parameter":[86],"space.":[87],"We":[88],"also":[89],"present":[90],"Monte-Carlo":[92],"simulation":[93],"study":[94],"along":[95],"with":[96,99],"comparisons":[98],"some":[100],"prominent":[101],"methods":[103],"in":[104],"terms":[105],"bias":[108],"root":[110],"mean":[111],"square":[112],"error.":[113],"For":[114],"illustration":[116],"purpose,":[117],"data":[119,125],"analysis":[120],"real":[123],"lifetime":[124],"set":[126],"reported.":[129]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}