{"id":"https://openalex.org/W2102280038","doi":"https://doi.org/10.1109/tit.1968.1054074","title":"Asymptotic probability of error using two decision-directed estimators for two unknown mean vectors (Corresp.)","display_name":"Asymptotic probability of error using two decision-directed estimators for two unknown mean vectors (Corresp.)","publication_year":1968,"publication_date":"1968-01-01","ids":{"openalex":"https://openalex.org/W2102280038","doi":"https://doi.org/10.1109/tit.1968.1054074","mag":"2102280038"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1968.1054074","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1968.1054074","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Transactions on Information Theory","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":null,"display_name":"E. Patrick","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"E. Patrick","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5010119234","display_name":"J. Costello","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J. Costello","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.6904,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.97716189,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"1","first_page":"160","last_page":"162"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9599999785423279,"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"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9599999785423279,"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/T11236","display_name":"Control Systems and Identification","score":0.9488999843597412,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9445000290870667,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.8494158983230591},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5027997493743896},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5000193119049072},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4715934991836548},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.46685248613357544},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4448334872722626},{"id":"https://openalex.org/keywords/probability-of-error","display_name":"Probability of error","score":0.4379901885986328},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.4237661063671112},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3977581560611725},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3808250427246094},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3265029191970825},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.29758715629577637}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.8494158983230591},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5027997493743896},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5000193119049072},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4715934991836548},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.46685248613357544},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4448334872722626},{"id":"https://openalex.org/C92224547","wikidata":"https://www.wikidata.org/wiki/Q1673216","display_name":"Probability of error","level":2,"score":0.4379901885986328},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.4237661063671112},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3977581560611725},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3808250427246094},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3265029191970825},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29758715629577637},{"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/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1968.1054074","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1968.1054074","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7900000214576721,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1527117384","https://openalex.org/W1998611926","https://openalex.org/W2111316763","https://openalex.org/W2138698675","https://openalex.org/W4255783720","https://openalex.org/W6631615302"],"related_works":["https://openalex.org/W4287880334","https://openalex.org/W4366700029","https://openalex.org/W4285230481","https://openalex.org/W4385769873","https://openalex.org/W2015759683","https://openalex.org/W4281634296","https://openalex.org/W4319161863","https://openalex.org/W2371687270","https://openalex.org/W4307819175","https://openalex.org/W4311888330"],"abstract_inverted_index":{"The":[0],"asymptotic":[1],"probability":[2],"of":[3],"error":[4],"for":[5,27],"an":[6],"unsupervised":[7],"learning":[8],"system":[9],"with":[10],"two":[11],"unknown":[12],"mean":[13],"vectors,":[14],"which":[15],"are":[16,25],"estimated":[17],"by":[18,34],"\"decision-directed\"":[19],"estimators,":[20],"is":[21],"investigated.":[22],"Theoretical":[23],"solutions":[24],"obtained":[26],"various":[28],"class":[29],"probabilities":[30],"and":[31],"signal-to-noise":[32],"ratios":[33],"utilizing":[35],"a":[36],"digital":[37],"computer.":[38]},"counts_by_year":[],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
