{"id":"https://openalex.org/W2035768448","doi":"https://doi.org/10.1109/lsp.2012.2202225","title":"A New Proof of the Neyman\u2013Pearson Theorem Using the EEF and the Vindication of Sir R. Fisher","display_name":"A New Proof of the Neyman\u2013Pearson Theorem Using the EEF and the Vindication of Sir R. Fisher","publication_year":2012,"publication_date":"2012-06-01","ids":{"openalex":"https://openalex.org/W2035768448","doi":"https://doi.org/10.1109/lsp.2012.2202225","mag":"2035768448"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2012.2202225","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2012.2202225","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Signal Processing Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://digitalcommons.uri.edu/ele_facpubs/1287","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019494783","display_name":"Steven Kay","orcid":"https://orcid.org/0000-0002-9267-8040"},"institutions":[{"id":"https://openalex.org/I17626003","display_name":"University of Rhode Island","ror":"https://ror.org/013ckk937","country_code":"US","type":"education","lineage":["https://openalex.org/I17626003"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"S. Kay","raw_affiliation_strings":["Department of Electrical, Computer, and Biomedical Engineering, University of Rhode Island, Kingston, RI, USA","[Dept of Electrical, Computer, and Biomedical Eng, University of Rhode Island, Kingston, RI, USA]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical, Computer, and Biomedical Engineering, University of Rhode Island, Kingston, RI, USA","institution_ids":["https://openalex.org/I17626003"]},{"raw_affiliation_string":"[Dept of Electrical, Computer, and Biomedical Eng, University of Rhode Island, Kingston, RI, USA]","institution_ids":["https://openalex.org/I17626003"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5019494783"],"corresponding_institution_ids":["https://openalex.org/I17626003"],"apc_list":null,"apc_paid":null,"fwci":1.128,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.79478385,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"19","issue":"8","first_page":"451","last_page":"454"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9919999837875366,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9872999787330627,"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/mathematics","display_name":"Mathematics","score":0.655066728591919},{"id":"https://openalex.org/keywords/pearson-product-moment-correlation-coefficient","display_name":"Pearson product-moment correlation coefficient","score":0.542507529258728},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5119587182998657},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.4927559196949005},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.4881070554256439},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.46650049090385437},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46292614936828613},{"id":"https://openalex.org/keywords/detection-theory","display_name":"Detection theory","score":0.4382951259613037},{"id":"https://openalex.org/keywords/fisher-information","display_name":"Fisher information","score":0.436862051486969},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4358823001384735},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.4340732991695404},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.40121322870254517},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.381610631942749},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34609007835388184},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30072054266929626}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.655066728591919},{"id":"https://openalex.org/C55078378","wikidata":"https://www.wikidata.org/wiki/Q1136628","display_name":"Pearson product-moment correlation coefficient","level":2,"score":0.542507529258728},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5119587182998657},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.4927559196949005},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.4881070554256439},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.46650049090385437},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46292614936828613},{"id":"https://openalex.org/C137270730","wikidata":"https://www.wikidata.org/wiki/Q120811","display_name":"Detection theory","level":3,"score":0.4382951259613037},{"id":"https://openalex.org/C29406490","wikidata":"https://www.wikidata.org/wiki/Q1420659","display_name":"Fisher information","level":2,"score":0.436862051486969},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4358823001384735},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.4340732991695404},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.40121322870254517},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.381610631942749},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34609007835388184},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30072054266929626},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/lsp.2012.2202225","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2012.2202225","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Signal Processing Letters","raw_type":"journal-article"},{"id":"pmh:oai:digitalcommons.uri.edu:ele_facpubs-2286","is_oa":true,"landing_page_url":"https://digitalcommons.uri.edu/ele_facpubs/1287","pdf_url":null,"source":{"id":"https://openalex.org/S2764761010","display_name":"Journal of Media Literacy Education","issn_l":"2167-8715","issn":["2167-8715"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310316378","host_organization_name":"National Association for Media Literacy Education","host_organization_lineage":["https://openalex.org/P4310316378"],"host_organization_lineage_names":["National Association for Media Literacy Education"],"type":"journal"},"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":"Electrical, Computer, and Biomedical Engineering Faculty Publications","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:digitalcommons.uri.edu:ele_facpubs-2286","is_oa":true,"landing_page_url":"https://digitalcommons.uri.edu/ele_facpubs/1287","pdf_url":null,"source":{"id":"https://openalex.org/S2764761010","display_name":"Journal of Media Literacy Education","issn_l":"2167-8715","issn":["2167-8715"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310316378","host_organization_name":"National Association for Media Literacy Education","host_organization_lineage":["https://openalex.org/P4310316378"],"host_organization_lineage_names":["National Association for Media Literacy Education"],"type":"journal"},"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":"Electrical, Computer, and Biomedical Engineering Faculty Publications","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1486598792","https://openalex.org/W1971793436","https://openalex.org/W2037892350","https://openalex.org/W2054003925","https://openalex.org/W2100686599","https://openalex.org/W2156755023","https://openalex.org/W4210572675","https://openalex.org/W4251344000"],"related_works":["https://openalex.org/W2351859806","https://openalex.org/W2552050053","https://openalex.org/W2083542484","https://openalex.org/W2085600399","https://openalex.org/W2360592051","https://openalex.org/W2385069182","https://openalex.org/W2393359912","https://openalex.org/W2371669906","https://openalex.org/W2111495793","https://openalex.org/W2035768448"],"abstract_inverted_index":{"The":[0,50],"Neyman-Pearson":[1,47],"theorem":[2],"for":[3],"the":[4,11,27,60,69],"problem":[5,70],"of":[6,29,44,59,71],"simple":[7],"hypothesis":[8],"testing":[9],"provides":[10,54],"fundamental":[12],"approach":[13],"to":[14,40,68],"signal":[15,72],"detection.":[16],"In":[17],"this":[18],"letter":[19],"we":[20],"present":[21],"a":[22,42,65],"new":[23,51],"proof":[24,52],"that":[25],"leverages":[26],"properties":[28,58],"exponential":[30],"probability":[31],"density":[32],"function":[33],"families":[34],"and":[35,48],"furthermore":[36],"links":[37],"parameter":[38],"estimation":[39],"detection,":[41],"point":[43],"contention":[45],"between":[46],"Fisher.":[49],"also":[53],"corollaries":[55],"concerning":[56],"known":[57],"receiver":[61],"operating":[62],"characteristics.":[63],"Finally,":[64],"geometric":[66],"interpretation":[67],"detection":[73],"is":[74],"given,":[75],"which":[76],"can":[77],"provide":[78],"much":[79],"insight":[80],"into":[81],"its":[82],"solution.":[83]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
