{"id":"https://openalex.org/W2042930170","doi":"https://doi.org/10.1109/tit.1985.1057078","title":"Performance bounds for discrimination problems with uncertain statistics (Corresp.)","display_name":"Performance bounds for discrimination problems with uncertain statistics (Corresp.)","publication_year":1985,"publication_date":"1985-09-01","ids":{"openalex":"https://openalex.org/W2042930170","doi":"https://doi.org/10.1109/tit.1985.1057078","mag":"2042930170"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1985.1057078","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1985.1057078","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/A5057348309","display_name":"E. Geraniotis","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"]},{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"E. Geraniotis","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Massachusetts, Amherst, Amherst, MA, USA","Electrical Engineering Department, University of Maryland, College Park, MD, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Massachusetts, Amherst, Amherst, MA, USA","institution_ids":["https://openalex.org/I24603500"]},{"raw_affiliation_string":"Electrical Engineering Department, University of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5057348309"],"corresponding_institution_ids":["https://openalex.org/I24603500","https://openalex.org/I66946132"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.15457606,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"31","issue":"5","first_page":"703","last_page":"707"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9980999827384949,"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":0.9980999827384949,"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9966999888420105,"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/T11443","display_name":"Advanced Statistical Process Monitoring","score":0.9965000152587891,"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/chernoff-bound","display_name":"Chernoff bound","score":0.8041172027587891},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6613256931304932},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.5638172626495361},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5357576608657837},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5286042094230652},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.5018458366394043},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.4888731837272644},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3744093179702759},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36571237444877625}],"concepts":[{"id":"https://openalex.org/C14539891","wikidata":"https://www.wikidata.org/wiki/Q1070305","display_name":"Chernoff bound","level":2,"score":0.8041172027587891},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6613256931304932},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.5638172626495361},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5357576608657837},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5286042094230652},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5018458366394043},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.4888731837272644},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3744093179702759},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36571237444877625},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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":1,"locations":[{"id":"doi:10.1109/tit.1985.1057078","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1985.1057078","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":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5899999737739563}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W166757398","https://openalex.org/W1976562388","https://openalex.org/W2002844873","https://openalex.org/W2006307866","https://openalex.org/W2007560797","https://openalex.org/W2010161926","https://openalex.org/W2014002306","https://openalex.org/W2033810643","https://openalex.org/W2039570218","https://openalex.org/W2042587503","https://openalex.org/W2101024038","https://openalex.org/W2124332110","https://openalex.org/W2136801871","https://openalex.org/W2140263939","https://openalex.org/W2158172508"],"related_works":["https://openalex.org/W2100419804","https://openalex.org/W2142321825","https://openalex.org/W2783398215","https://openalex.org/W2001590474","https://openalex.org/W1986868580","https://openalex.org/W2804393355","https://openalex.org/W2049353827","https://openalex.org/W2883361795","https://openalex.org/W2242259016","https://openalex.org/W2042930170"],"abstract_inverted_index":{"Decision":[0],"designs":[1,23],"that":[2,112],"are":[3,8,24,42,69],"insensitive":[4],"to":[5,71,134],"modeling":[6],"uncertainty":[7,30,54,118],"developed":[9],"for":[10,44,113],"the":[11,15,45,56,78,83,92,117,126,130,137,142,145],"Chernoff":[12,79,132],"bounds":[13,81,133],"on":[14,26,82,91],"performance":[16],"of":[17,48,99,122,129,139,144],"binary":[18],"hypothesis":[19],"testing":[20],"problems.":[21],"These":[22],"based":[25,90],"observations":[27,52,63,140],"with":[28,53,64],"statistical":[29],"modeled":[31],"by":[32,37],"using":[33],"general":[34],"classes":[35],"generated":[36],"2-alternating":[38],"capacities.":[39],"The":[40],"results":[41],"illustrated":[43],"two":[46],"cases":[47,74],"independent":[49],"identically":[50],"distributed":[51],"in":[55,116],"probability":[57,100],"distribution":[58],"and":[59,67],"discrete-time":[60],"stationary":[61],"Gaussian":[62],"spectral":[65,103],"uncertainty,":[66],"they":[68],"applicable":[70],"several":[72],"other":[73],"as":[75,136],"well.":[76],"For":[77],"upper":[80],"error":[84],"probabilities,":[85],"a":[86,96],"\"robust\"":[87],"decision":[88],"design":[89],"I/kel/hood-ratio":[93],"test":[94],"between":[95],"least-favorable":[97],"pair":[98],"distributions":[101],"or":[102,141],"measures,":[104],"respectively,":[105],"is":[106,109],"derived.":[107],"It":[108],"then":[110],"shown":[111],"all":[114],"elements":[115],"class":[119],"this":[120],"choice":[121],"likelihood":[123],"ratio":[124],"guarantees":[125],"exponential":[127],"convergence":[128],"aforementioned":[131],"zero":[135],"number":[138],"length":[143],"observation":[146],"interval":[147],"increases.":[148]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}