{"id":"https://openalex.org/W1977989011","doi":"https://doi.org/10.1109/tit.1987.1057255","title":"Stability in linear detection","display_name":"Stability in linear detection","publication_year":1987,"publication_date":"1987-01-01","ids":{"openalex":"https://openalex.org/W1977989011","doi":"https://doi.org/10.1109/tit.1987.1057255","mag":"1977989011"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1987.1057255","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1987.1057255","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":"https://openalex.org/A5113534196","display_name":"Patrick A. Kelly","orcid":null},"institutions":[{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P. Kelly","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Massachusetts, Amherst, MA, USA","The Univ. of Massachsetts, Amherst, MA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Massachusetts, Amherst, MA, USA","institution_ids":["https://openalex.org/I24603500"]},{"raw_affiliation_string":"The Univ. of Massachsetts, Amherst, MA#TAB#","institution_ids":["https://openalex.org/I24603500"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038080014","display_name":"William L. Root","orcid":null},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"W. Root","raw_affiliation_strings":["Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, USA","University of Michigan,Ann Arbor,MI"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"University of Michigan,Ann Arbor,MI","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.0720744,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"1","first_page":"36","last_page":"46"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9977999925613403,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9977999925613403,"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":0.9871000051498413,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9839000105857849,"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":0.6813856363296509},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6744145154953003},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5842783451080322},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.5831407308578491},{"id":"https://openalex.org/keywords/detector","display_name":"Detector","score":0.5787425637245178},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5086277723312378},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5049446225166321},{"id":"https://openalex.org/keywords/test-statistic","display_name":"Test statistic","score":0.4916582703590393},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.45715636014938354},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.43877556920051575},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3414071202278137},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3151671886444092},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26336103677749634},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.1946595013141632},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1637507677078247},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08236709237098694},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07551532983779907},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.06864160299301147}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6813856363296509},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6744145154953003},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5842783451080322},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.5831407308578491},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.5787425637245178},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5086277723312378},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5049446225166321},{"id":"https://openalex.org/C169857963","wikidata":"https://www.wikidata.org/wiki/Q1461038","display_name":"Test statistic","level":3,"score":0.4916582703590393},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.45715636014938354},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.43877556920051575},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3414071202278137},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3151671886444092},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26336103677749634},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.1946595013141632},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1637507677078247},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08236709237098694},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07551532983779907},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.06864160299301147},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tit.1987.1057255","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1987.1057255","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"},{"id":"pmh:oai:scholarworks.umass.edu:ece_faculty_pubs-1742","is_oa":false,"landing_page_url":"https://scholarworks.umass.edu/ece_faculty_pubs/743","pdf_url":null,"source":{"id":"https://openalex.org/S4306402057","display_name":"Scholarworks (University of Massachusetts Amherst)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I24603500","host_organization_name":"University of Massachusetts Amherst","host_organization_lineage":["https://openalex.org/I24603500"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electrical and Computer Engineering Faculty Publication Series","raw_type":"text"},{"id":"pmh:oai:scholarworks.umass.edu:20.500.14394/21442","is_oa":false,"landing_page_url":"https://hdl.handle.net/20.500.14394/21442","pdf_url":null,"source":{"id":"https://openalex.org/S4306402057","display_name":"Scholarworks (University of Massachusetts Amherst)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I24603500","host_organization_name":"University of Massachusetts Amherst","host_organization_lineage":["https://openalex.org/I24603500"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"published","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W35636098","https://openalex.org/W1520190212","https://openalex.org/W1977020685","https://openalex.org/W1978983629","https://openalex.org/W2013789611","https://openalex.org/W2014002306","https://openalex.org/W2045547842","https://openalex.org/W2046033161","https://openalex.org/W2049898120","https://openalex.org/W2095225664","https://openalex.org/W2097985404","https://openalex.org/W2110094810","https://openalex.org/W2130118845","https://openalex.org/W2170076406","https://openalex.org/W2172259820","https://openalex.org/W2489822048","https://openalex.org/W4214907657","https://openalex.org/W4299362583"],"related_works":["https://openalex.org/W2359776416","https://openalex.org/W2353788488","https://openalex.org/W2361916204","https://openalex.org/W2372011046","https://openalex.org/W2387495973","https://openalex.org/W2347464726","https://openalex.org/W2375704815","https://openalex.org/W1970319972","https://openalex.org/W2957280400","https://openalex.org/W2953254336"],"abstract_inverted_index":{"The":[0],"stability":[1,52],"of":[2,24,29,47,56,81],"linear":[3,72],"detectors":[4],"for":[5,10],"signals":[6],"nominally":[7,14],"known":[8],"except":[9],"amplitude":[11],"in":[12,22,43],"correlated":[13],"Gaussian":[15],"noise":[16],"is":[17,20,54,63],"considered.":[18],"Stability":[19],"defined":[21],"terms":[23],"bounds":[25],"on":[26,38,77],"the":[27,30,34,39,48,50,57,69,78],"distribution":[28],"test":[31],"statistic":[32],"as":[33],"true":[35],"probability":[36],"measure":[37],"observation":[40],"space":[41],"varies":[42],"a":[44,75],"Prokhorov":[45],"neighborhood":[46,58],"nominal;":[49],"derived":[51],"index":[53],"independent":[55],"size.":[59],"An":[60],"optimization":[61],"problem":[62],"formulated":[64],"and":[65],"solved":[66],"to":[67],"give":[68],"most":[70],"stable":[71],"detector":[73],"meeting":[74],"Constraint":[76],"nominal":[79],"level":[80],"detectability.":[82]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}