{"id":"https://openalex.org/W2139831495","doi":"https://doi.org/10.1109/tit.1974.1055289","title":"Chernoff bounds on the error probability for the detection of non-Gaussian signals","display_name":"Chernoff bounds on the error probability for the detection of non-Gaussian signals","publication_year":1974,"publication_date":"1974-09-01","ids":{"openalex":"https://openalex.org/W2139831495","doi":"https://doi.org/10.1109/tit.1974.1055289","mag":"2139831495"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1974.1055289","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1974.1055289","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/A5105973469","display_name":"J. E. Evans","orcid":null},"institutions":[{"id":"https://openalex.org/I4210122954","display_name":"MIT Lincoln Laboratory","ror":"https://ror.org/022z6jk58","country_code":"US","type":"facility","lineage":["https://openalex.org/I4210122954","https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"J. Evans","raw_affiliation_strings":["Lincoln Laboratory, M.I.T., Lexington, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lincoln Laboratory, M.I.T., Lexington, MA, USA","institution_ids":["https://openalex.org/I4210122954"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5105973469"],"corresponding_institution_ids":["https://openalex.org/I4210122954"],"apc_list":null,"apc_paid":null,"fwci":0.5705,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.71867769,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"20","issue":"5","first_page":"569","last_page":"577"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10282","display_name":"Financial Risk and Volatility Modeling","score":0.9793999791145325,"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9603999853134155,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5655098557472229},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49383577704429626},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.47376421093940735},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46752357482910156},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44542235136032104},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3596983551979065},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3551279306411743},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16833022236824036}],"concepts":[{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5655098557472229},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49383577704429626},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.47376421093940735},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46752357482910156},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44542235136032104},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3596983551979065},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3551279306411743},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16833022236824036},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1974.1055289","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1974.1055289","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W33041645","https://openalex.org/W226131373","https://openalex.org/W1492498476","https://openalex.org/W1601098595","https://openalex.org/W1970460363","https://openalex.org/W1999502813","https://openalex.org/W1999897837","https://openalex.org/W2007700189","https://openalex.org/W2071779114","https://openalex.org/W2083731191","https://openalex.org/W2093456812","https://openalex.org/W2094135260","https://openalex.org/W2099264463","https://openalex.org/W2103435373","https://openalex.org/W2120797717","https://openalex.org/W2139831495","https://openalex.org/W2165913293","https://openalex.org/W3147179697","https://openalex.org/W6601357525","https://openalex.org/W6675211155"],"related_works":["https://openalex.org/W2951695430","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W4300891849","https://openalex.org/W2318687609","https://openalex.org/W91590591","https://openalex.org/W159772521","https://openalex.org/W2950100995","https://openalex.org/W3170064006","https://openalex.org/W2281582664"],"abstract_inverted_index":{"Chernoff":[0,42],"bounds":[1],"on":[2],"the":[3,7,21,32,41,60,74,86,93,117,127,133,144],"error":[4,87],"probability":[5,88],"for":[6,37,68,92,139],"detection":[8,145],"of":[9,23,40,78,99,135,146],"non-Gaussian":[10,62,147],"stochastic":[11],"signals":[12],"in":[13,73],"additive":[14],"white":[15],"Gaussian":[16],"noise":[17],"are":[18],"computed.":[19],"By":[20,120],"use":[22],"Fokker-Planck":[24],"(F-P)":[25],"equations":[26],"and":[27,81],"a":[28,100,140],"certain":[29],"conditional":[30],"expectation,":[31],"quasi-transition":[33],"function,":[34],"an":[35],"equation":[36,49],"time":[38,47,70],"evolution":[39,48],"bound":[43],"is":[44,50,116],"obtained.":[45],"This":[46],"solved":[51,67],"exactly":[52],"to":[53,90],"give":[54],"all":[55],"previously":[56],"known":[57],"results.":[58],"Although":[59],"general":[61],"case":[63,77],"cannot":[64],"be":[65],"conveniently":[66],"short":[69],"duratio":[71],"ns,":[72],"important":[75],"special":[76],"stationary":[79],"processes":[80],"long":[82],"integration":[83],"times,":[84],"bounding":[85],"reduces":[89],"solving":[91],"largest":[94],"eigenvalue":[95],"<tex":[96,105,113,123],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[97,106,114,124],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\\lambda_0</tex>":[98,125],"differential":[101],"operator.":[102],"In":[103],"particular,":[104],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">P(error)":[107],"\\leq":[108],"\\exp":[109],"(\\lambda_0T)</tex>":[110],",":[111],"where":[112],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">T</tex>":[115],"observation":[118],"period.":[119],"iteratively":[121],"determining":[122],"via":[126],"Galerkin":[128],"variational":[129],"procedure,":[130],"we":[131],"compare":[132],"performance":[134],"different":[136],"receiver":[137],"forms":[138],"specific":[141],"problem":[142],"involving":[143],"random":[148],"signal":[149],"processes.":[150]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}