{"id":"https://openalex.org/W3097652195","doi":"https://doi.org/10.3390/e22111267","title":"Baseline Methods for Bayesian Inference in Gumbel Distribution","display_name":"Baseline Methods for Bayesian Inference in Gumbel Distribution","publication_year":2020,"publication_date":"2020-11-07","ids":{"openalex":"https://openalex.org/W3097652195","doi":"https://doi.org/10.3390/e22111267","mag":"3097652195","pmid":"https://pubmed.ncbi.nlm.nih.gov/33287035"},"language":"en","primary_location":{"id":"doi:10.3390/e22111267","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e22111267","pdf_url":"https://www.mdpi.com/1099-4300/22/11/1267/pdf?version=1604992246","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"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":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/22/11/1267/pdf?version=1604992246","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107227205","display_name":"J. Mart\u0131\u0301n","orcid":"https://orcid.org/0000-0002-4028-9668"},"institutions":[{"id":"https://openalex.org/I80606768","display_name":"Universidad de Extremadura","ror":"https://ror.org/0174shg90","country_code":"ES","type":"education","lineage":["https://openalex.org/I80606768"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jacinto Mart\u00edn","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Facultad de Ciencias, Universidad de Extremadura, 06006 Badajoz, Spain"],"raw_orcid":"https://orcid.org/0000-0002-4028-9668","affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Facultad de Ciencias, Universidad de Extremadura, 06006 Badajoz, Spain","institution_ids":["https://openalex.org/I80606768"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013893695","display_name":"M. Isabel Parra","orcid":"https://orcid.org/0000-0001-8380-1898"},"institutions":[{"id":"https://openalex.org/I80606768","display_name":"Universidad de Extremadura","ror":"https://ror.org/0174shg90","country_code":"ES","type":"education","lineage":["https://openalex.org/I80606768"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Mar\u00eda Isabel Parra","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Facultad de Ciencias, Universidad de Extremadura, 06006 Badajoz, Spain"],"raw_orcid":"https://orcid.org/0000-0001-8380-1898","affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Facultad de Ciencias, Universidad de Extremadura, 06006 Badajoz, Spain","institution_ids":["https://openalex.org/I80606768"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071239341","display_name":"Mario M. Pizarro","orcid":"https://orcid.org/0000-0002-4604-2439"},"institutions":[{"id":"https://openalex.org/I80606768","display_name":"Universidad de Extremadura","ror":"https://ror.org/0174shg90","country_code":"ES","type":"education","lineage":["https://openalex.org/I80606768"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Mario Mart\u00ednez Pizarro","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Facultad de Veterinaria, Universidad de Extremadura, 10003 C\u00e1ceres, Spain"],"raw_orcid":"https://orcid.org/0000-0002-4604-2439","affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Facultad de Veterinaria, Universidad de Extremadura, 10003 C\u00e1ceres, Spain","institution_ids":["https://openalex.org/I80606768"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081482838","display_name":"Eva L. Sanju\u00e1n","orcid":"https://orcid.org/0000-0003-1549-7964"},"institutions":[{"id":"https://openalex.org/I4210122566","display_name":"Instituto de Arqueolog\u00eda-M\u00e9rida","ror":"https://ror.org/02xav4q54","country_code":"ES","type":"facility","lineage":["https://openalex.org/I134820265","https://openalex.org/I4210122566"]},{"id":"https://openalex.org/I80606768","display_name":"Universidad de Extremadura","ror":"https://ror.org/0174shg90","country_code":"ES","type":"education","lineage":["https://openalex.org/I80606768"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Eva L. Sanju\u00e1n","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Centro Universitario de M\u00e9rida, Universidad de Extremadura, 06800 M\u00e9rida, Spain"],"raw_orcid":"https://orcid.org/0000-0003-1549-7964","affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Centro Universitario de M\u00e9rida, Universidad de Extremadura, 06800 M\u00e9rida, Spain","institution_ids":["https://openalex.org/I4210122566","https://openalex.org/I80606768"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5081482838"],"corresponding_institution_ids":["https://openalex.org/I4210122566","https://openalex.org/I80606768"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.1026,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.52065354,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"22","issue":"11","first_page":"1267","last_page":"1267"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11186","display_name":"Hydrology and Drought Analysis","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11186","display_name":"Hydrology and Drought Analysis","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10282","display_name":"Financial Risk and Volatility Modeling","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.996999979019165,"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/gumbel-distribution","display_name":"Gumbel distribution","score":0.9531943798065186},{"id":"https://openalex.org/keywords/maxima","display_name":"Maxima","score":0.856467604637146},{"id":"https://openalex.org/keywords/baseline","display_name":"Baseline (sea)","score":0.7316379547119141},{"id":"https://openalex.org/keywords/extreme-value-theory","display_name":"Extreme value theory","score":0.6985505819320679},{"id":"https://openalex.org/keywords/generalized-extreme-value-distribution","display_name":"Generalized extreme value distribution","score":0.6321676969528198},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.6243658065795898},{"id":"https://openalex.org/keywords/prior-probability","display_name":"Prior probability","score":0.6131899356842041},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5113393664360046},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.49615582823753357},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4026978611946106},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35801148414611816},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3297141194343567}],"concepts":[{"id":"https://openalex.org/C137610916","wikidata":"https://www.wikidata.org/wiki/Q1096862","display_name":"Gumbel distribution","level":3,"score":0.9531943798065186},{"id":"https://openalex.org/C91528185","wikidata":"https://www.wikidata.org/wiki/Q520952","display_name":"Maxima","level":3,"score":0.856467604637146},{"id":"https://openalex.org/C12725497","wikidata":"https://www.wikidata.org/wiki/Q810247","display_name":"Baseline (sea)","level":2,"score":0.7316379547119141},{"id":"https://openalex.org/C147581598","wikidata":"https://www.wikidata.org/wiki/Q729429","display_name":"Extreme value theory","level":2,"score":0.6985505819320679},{"id":"https://openalex.org/C169707849","wikidata":"https://www.wikidata.org/wiki/Q1617240","display_name":"Generalized extreme value distribution","level":3,"score":0.6321676969528198},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.6243658065795898},{"id":"https://openalex.org/C177769412","wikidata":"https://www.wikidata.org/wiki/Q278090","display_name":"Prior probability","level":3,"score":0.6131899356842041},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5113393664360046},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.49615582823753357},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4026978611946106},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35801148414611816},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3297141194343567},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C52119013","wikidata":"https://www.wikidata.org/wiki/Q50637","display_name":"Art history","level":1,"score":0.0},{"id":"https://openalex.org/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.0},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0},{"id":"https://openalex.org/C554144382","wikidata":"https://www.wikidata.org/wiki/Q213156","display_name":"Performance art","level":2,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.3390/e22111267","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e22111267","pdf_url":"https://www.mdpi.com/1099-4300/22/11/1267/pdf?version=1604992246","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"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":"Entropy","raw_type":"journal-article"},{"id":"pmid:33287035","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33287035","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:dehesa.unex.es:10662/19333","is_oa":true,"landing_page_url":"http://hdl.handle.net/10662/19333","pdf_url":null,"source":{"id":"https://openalex.org/S4306401011","display_name":"Institutional Repository University of Extremadura (University of Extremadura)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I80606768","host_organization_name":"Universidad de Extremadura","host_organization_lineage":["https://openalex.org/I80606768"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},{"id":"pmh:oai:doaj.org/article:a40076f51fcb4a82bd6f0a2a08d49864","is_oa":true,"landing_page_url":"https://doaj.org/article/a40076f51fcb4a82bd6f0a2a08d49864","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":"Entropy, Vol 22, Iss 11, p 1267 (2020)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/22/11/1267/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e22111267","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":"Entropy; Volume 22; Issue 11; Pages: 1267","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:7712108","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7712108","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e22111267","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e22111267","pdf_url":"https://www.mdpi.com/1099-4300/22/11/1267/pdf?version=1604992246","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"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":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3097652195.pdf","grobid_xml":"https://content.openalex.org/works/W3097652195.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W1500882322","https://openalex.org/W1528068698","https://openalex.org/W1542459729","https://openalex.org/W1549853756","https://openalex.org/W1562571311","https://openalex.org/W1996924693","https://openalex.org/W2010826916","https://openalex.org/W2021055263","https://openalex.org/W2024315245","https://openalex.org/W2062384410","https://openalex.org/W2065586708","https://openalex.org/W2067090833","https://openalex.org/W2085775300","https://openalex.org/W2114927293","https://openalex.org/W2122456939","https://openalex.org/W2125541522","https://openalex.org/W2126233134","https://openalex.org/W2176394324","https://openalex.org/W2206018595","https://openalex.org/W2324099123","https://openalex.org/W2492055736","https://openalex.org/W2514487384","https://openalex.org/W2606182892","https://openalex.org/W2613347127","https://openalex.org/W2727328391","https://openalex.org/W2785224389","https://openalex.org/W2791694719","https://openalex.org/W3101253155","https://openalex.org/W3104390743","https://openalex.org/W4232632925","https://openalex.org/W4301620610","https://openalex.org/W6632854936","https://openalex.org/W6655710583","https://openalex.org/W6687930444"],"related_works":["https://openalex.org/W2750430821","https://openalex.org/W2950895695","https://openalex.org/W2951988075","https://openalex.org/W2592905339","https://openalex.org/W163470745","https://openalex.org/W2167010909","https://openalex.org/W2736068589","https://openalex.org/W1862346859","https://openalex.org/W2083778309","https://openalex.org/W1613644779"],"abstract_inverted_index":{"Usual":[0],"estimation":[1],"methods":[2,77,154],"for":[3,90,106],"the":[4,16,43,59,63,67,70,91,96,107,119,123,130,136,156],"parameters":[5,65,68,93],"of":[6,15,33,58,69,118,125],"extreme":[7,49,172],"value":[8,50],"distributions":[9,166],"only":[10],"employ":[11],"a":[12,31,39,101,116,170,180],"small":[13],"part":[14],"observation":[17],"values.":[18],"When":[19],"block":[20,71,108,131],"maxima":[21,72,109,132],"values":[22],"are":[23,27],"considered,":[24],"many":[25],"data":[26,45,133],"discarded,":[28],"and":[29,66,98,177],"therefore":[30],"lot":[32],"information":[34],"is":[35,54,115],"wasted.":[36],"We":[37,74,149],"develop":[38,144],"model":[40],"to":[41,55,78,103,129,135,143,169],"seize":[42],"whole":[44],"available":[46],"in":[47,87],"an":[48,145],"framework.":[51],"The":[52],"key":[53],"take":[56],"advantage":[57],"existing":[60],"relation":[61],"between":[62],"baseline":[64,92,112,137,165],"distribution.":[73,148],"propose":[75],"two":[76],"perform":[79],"Bayesian":[80,158],"estimation.":[81],"Baseline":[82],"distribution":[83],"method":[84,113],"(BDM)":[85],"consists":[86],"computing":[88],"estimations":[89,105],"with":[94,122,155,160],"all":[95],"data,":[97],"then":[99],"making":[100],"transformation":[102],"compute":[104],"parameters.":[110],"Improved":[111],"(IBDM)":[114],"refinement":[117],"initial":[120],"idea,":[121],"aim":[124],"assigning":[126],"more":[127],"importance":[128],"than":[134],"values,":[138],"performed":[139],"by":[140,179],"applying":[141],"BDM":[142],"improved":[146],"prior":[147],"compare":[150],"empirically":[151],"these":[152],"new":[153],"Standard":[157],"analysis":[159],"non-informative":[161],"prior,":[162],"considering":[163],"three":[164],"that":[167],"lead":[168],"Gumbel":[171],"distribution,":[173],"namely":[174],"Gumbel,":[175],"Exponential":[176],"Normal,":[178],"broad":[181],"simulation":[182],"study.":[183]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}