{"id":"https://openalex.org/W1905426918","doi":"https://doi.org/10.3390/e17106534","title":"A Bayesian Decision-Theoretic Approach to Logically-Consistent Hypothesis Testing","display_name":"A Bayesian Decision-Theoretic Approach to Logically-Consistent Hypothesis Testing","publication_year":2015,"publication_date":"2015-09-24","ids":{"openalex":"https://openalex.org/W1905426918","doi":"https://doi.org/10.3390/e17106534","mag":"1905426918"},"language":"en","primary_location":{"id":"doi:10.3390/e17106534","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e17106534","pdf_url":"https://www.mdpi.com/1099-4300/17/10/6534/pdf?version=1443101400","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"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/17/10/6534/pdf?version=1443101400","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100294229","display_name":"Gustavo Silva","orcid":"https://orcid.org/0009-0005-2080-2232"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Gustavo Da Silva","raw_affiliation_strings":["Institute of Mathematics and Statistics, University of S\u00e3o Paulo, S\u00e3o Paulo, 05508-090, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Statistics, University of S\u00e3o Paulo, S\u00e3o Paulo, 05508-090, Brazil","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080001315","display_name":"Lu\u00eds Gustavo Esteves","orcid":null},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Luis Esteves","raw_affiliation_strings":["Institute of Mathematics and Statistics, University of S\u00e3o Paulo, S\u00e3o Paulo, 05508-090, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Statistics, University of S\u00e3o Paulo, S\u00e3o Paulo, 05508-090, Brazil","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078066296","display_name":"Victor Fossaluza","orcid":"https://orcid.org/0000-0002-9328-0210"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Victor Fossaluza","raw_affiliation_strings":["Institute of Mathematics and Statistics, University of S\u00e3o Paulo, S\u00e3o Paulo, 05508-090, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Statistics, University of S\u00e3o Paulo, S\u00e3o Paulo, 05508-090, Brazil","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041145702","display_name":"Rafael Izbicki","orcid":"https://orcid.org/0000-0003-0379-9690"},"institutions":[{"id":"https://openalex.org/I177909021","display_name":"Universidade Federal de S\u00e3o Carlos","ror":"https://ror.org/00qdc6m37","country_code":"BR","type":"education","lineage":["https://openalex.org/I177909021"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Rafael Izbicki","raw_affiliation_strings":["Department of Statistics, Federal University of S\u00e3o Carlos, S\u00e3o Carlos, 13565-905, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Federal University of S\u00e3o Carlos, S\u00e3o Carlos, 13565-905, Brazil","institution_ids":["https://openalex.org/I177909021"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005075448","display_name":"Sergio Wechsler","orcid":null},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Sergio Wechsler","raw_affiliation_strings":["Institute of Mathematics and Statistics, University of S\u00e3o Paulo, S\u00e3o Paulo, 05508-090, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Statistics, University of S\u00e3o Paulo, S\u00e3o Paulo, 05508-090, Brazil","institution_ids":["https://openalex.org/I17974374"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5080001315"],"corresponding_institution_ids":["https://openalex.org/I17974374"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.4124,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.82679947,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"17","issue":"10","first_page":"6534","last_page":"6559"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11235","display_name":"Statistical Methods in Clinical Trials","score":0.9997000098228455,"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/T11235","display_name":"Statistical Methods in Clinical Trials","score":0.9997000098228455,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9973000288009644,"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/T11443","display_name":"Advanced Statistical Process Monitoring","score":0.9972000122070312,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/frequentist-inference","display_name":"Frequentist inference","score":0.7993364930152893},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.6670913100242615},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.6312837600708008},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5945257544517517},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5636301040649414},{"id":"https://openalex.org/keywords/bayes-theorem","display_name":"Bayes' theorem","score":0.563360333442688},{"id":"https://openalex.org/keywords/bayes-factor","display_name":"Bayes factor","score":0.5378566980361938},{"id":"https://openalex.org/keywords/coherence","display_name":"Coherence (philosophical gambling strategy)","score":0.4639674425125122},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3843751549720764},{"id":"https://openalex.org/keywords/bayesian-inference","display_name":"Bayesian inference","score":0.3609093129634857},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.3473157286643982},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31844356656074524},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3135903477668762},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18724948167800903}],"concepts":[{"id":"https://openalex.org/C162376815","wikidata":"https://www.wikidata.org/wiki/Q2158281","display_name":"Frequentist inference","level":4,"score":0.7993364930152893},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.6670913100242615},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.6312837600708008},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5945257544517517},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5636301040649414},{"id":"https://openalex.org/C207201462","wikidata":"https://www.wikidata.org/wiki/Q182505","display_name":"Bayes' theorem","level":3,"score":0.563360333442688},{"id":"https://openalex.org/C142291917","wikidata":"https://www.wikidata.org/wiki/Q4165283","display_name":"Bayes factor","level":4,"score":0.5378566980361938},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.4639674425125122},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3843751549720764},{"id":"https://openalex.org/C160234255","wikidata":"https://www.wikidata.org/wiki/Q812535","display_name":"Bayesian inference","level":3,"score":0.3609093129634857},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3473157286643982},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31844356656074524},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3135903477668762},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18724948167800903}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e17106534","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e17106534","pdf_url":"https://www.mdpi.com/1099-4300/17/10/6534/pdf?version=1443101400","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":"pmh:002725298","is_oa":true,"landing_page_url":"http://doi.org/10.3390/e17106534","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:doaj.org/article:3e25742e38e24b9c98bf2cbacc70be05","is_oa":true,"landing_page_url":"https://doaj.org/article/3e25742e38e24b9c98bf2cbacc70be05","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 17, Iss 10, Pp 6534-6559 (2015)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/17/10/6534/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e17106534","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","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e17106534","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e17106534","pdf_url":"https://www.mdpi.com/1099-4300/17/10/6534/pdf?version=1443101400","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":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8199999928474426}],"awards":[{"id":"https://openalex.org/G3572101131","display_name":null,"funder_award_id":"2014/","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G721085197","display_name":null,"funder_award_id":"2014/25302-2","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"}],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1905426918.pdf","grobid_xml":"https://content.openalex.org/works/W1905426918.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W1561417830","https://openalex.org/W1662363606","https://openalex.org/W1982720433","https://openalex.org/W1997704656","https://openalex.org/W1997917263","https://openalex.org/W2006258746","https://openalex.org/W2019420194","https://openalex.org/W2020549684","https://openalex.org/W2032136732","https://openalex.org/W2032714021","https://openalex.org/W2046294138","https://openalex.org/W2050745088","https://openalex.org/W2068393255","https://openalex.org/W2091592108","https://openalex.org/W2091761427","https://openalex.org/W2117812871","https://openalex.org/W2120148445","https://openalex.org/W2120906154","https://openalex.org/W2122986822","https://openalex.org/W2135445066","https://openalex.org/W2158814886","https://openalex.org/W2159036726","https://openalex.org/W2272570181","https://openalex.org/W2571342956","https://openalex.org/W2737089964","https://openalex.org/W2904585132","https://openalex.org/W3146501913","https://openalex.org/W4205210034","https://openalex.org/W4233836585","https://openalex.org/W4300201699","https://openalex.org/W6633592982","https://openalex.org/W6658894477","https://openalex.org/W6732239092"],"related_works":["https://openalex.org/W4221107656","https://openalex.org/W4287210717","https://openalex.org/W2991615686","https://openalex.org/W4297513322","https://openalex.org/W4294769481","https://openalex.org/W4220993161","https://openalex.org/W4288711847","https://openalex.org/W4392028664","https://openalex.org/W2128377750","https://openalex.org/W2246747646"],"abstract_inverted_index":{"This":[0],"work":[1],"addresses":[2],"an":[3],"important":[4],"issue":[5],"regarding":[6],"the":[7,13,20,89,103,167,173,199],"performance":[8,200],"of":[9,15,42,133,201,207],"simultaneous":[10],"test":[11],"procedures:":[12],"construction":[14],"multiple":[16],"tests":[17,129,156],"that":[18,30,35,61,130,152,175],"at":[19],"same":[21],"time":[22],"are":[23,36],"optimal":[24,58,127,214],"from":[25],"a":[26,86,94,111,170,208],"statistical":[27,43,182],"perspective":[28],"and":[29,117,122,160],"also":[31,138],"yield":[32],"logically-consistent":[33,202],"results":[34],"easy":[37],"to":[38,40,56,102,212],"communicate":[39],"practitioners":[41],"methods.":[44],"For":[45],"instance,":[46],"if":[47],"hypothesis":[48,51,190,203],"A":[49,63],"implies":[50],"B,":[52],"is":[53],"it":[54],"possible":[55],"create":[57],"testing":[59,71,164,191,204],"procedures":[60,72],"reject":[62,66],"whenever":[64],"they":[65],"B?":[67],"Unfortunately,":[68],"several":[69],"standard":[70],"fail":[73],"in":[74,184],"having":[75],"such":[76],"logical":[77,176],"consistency.":[78],"Although":[79],"this":[80,98],"has":[81],"been":[82],"deeply":[83],"investigated":[84],"under":[85,93,110,216],"frequentist":[87],"perspective,":[88],"literature":[90],"lacks":[91],"analyses":[92],"Bayesian":[95,112,163,189],"paradigm.":[96],"In":[97],"work,":[99],"we":[100,187],"contribute":[101],"discussion":[104],"by":[105,145,205],"investigating":[106],"three":[107],"rational":[108],"relationships":[109],"decision-theoretic":[113],"standpoint:":[114],"coherence,":[115],"invertibility":[116],"union":[118],"consonance.":[119],"We":[120,137,150,197],"characterize":[121],"illustrate":[123],"through":[124],"simple":[125],"examples":[126],"Bayes":[128,193,209],"fulfill":[131],"each":[132],"these":[134,147],"requisites":[135],"separately.":[136],"explore":[139],"how":[140],"far":[141],"one":[142],"can":[143],"go":[144],"putting":[146],"requirements":[148],"together.":[149],"show":[151],"although":[153],"fairly":[154],"intuitive":[155],"satisfy":[157],"both":[158],"coherence":[159],"invertibility,":[161],"no":[162],"scheme":[165],"meets":[166],"desiderata":[168],"as":[169],"whole,":[171],"strengthening":[172],"understanding":[174],"consistency":[177],"cannot":[178],"be":[179,213],"combined":[180],"with":[181,192],"optimality":[183],"general.":[185],"Finally,":[186],"associate":[188],"point":[194,210],"estimation":[195],"procedures.":[196],"prove":[198],"means":[206],"estimator":[211],"only":[215],"very":[217],"restrictive":[218],"conditions.":[219]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}