{"id":"https://openalex.org/W2013428653","doi":"https://doi.org/10.1109/tsp.2012.2211594","title":"Separating Function Estimation Tests: A New Perspective on Binary Composite Hypothesis Testing","display_name":"Separating Function Estimation Tests: A New Perspective on Binary Composite Hypothesis Testing","publication_year":2012,"publication_date":"2012-08-03","ids":{"openalex":"https://openalex.org/W2013428653","doi":"https://doi.org/10.1109/tsp.2012.2211594","mag":"2013428653"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2012.2211594","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2012.2211594","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","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/A5078873247","display_name":"Ali Ghobadzadeh","orcid":null},"institutions":[{"id":"https://openalex.org/I112536369","display_name":"Yazd University","ror":"https://ror.org/02x99ac45","country_code":"IR","type":"education","lineage":["https://openalex.org/I112536369"]},{"id":"https://openalex.org/I204722609","display_name":"Queen's University","ror":"https://ror.org/02y72wh86","country_code":"CA","type":"education","lineage":["https://openalex.org/I204722609"]}],"countries":["CA","IR"],"is_corresponding":true,"raw_author_name":"A. Ghobadzadeh","raw_affiliation_strings":["Department of Electrical Engineering, Yazd University, Yazd, Iran","Department of Electrical and Computer Engineering, Queen's University, Kingston, ONT, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Yazd University, Yazd, Iran","institution_ids":["https://openalex.org/I112536369"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Queen's University, Kingston, ONT, Canada","institution_ids":["https://openalex.org/I204722609"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025079359","display_name":"Saeed Gazor","orcid":"https://orcid.org/0000-0003-4368-6682"},"institutions":[{"id":"https://openalex.org/I204722609","display_name":"Queen's University","ror":"https://ror.org/02y72wh86","country_code":"CA","type":"education","lineage":["https://openalex.org/I204722609"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"S. Gazor","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Queen's University, Kingston, ONT, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Queen's University, Kingston, ONT, Canada","institution_ids":["https://openalex.org/I204722609"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053883956","display_name":"Mohammad Reza Taban","orcid":"https://orcid.org/0000-0002-8154-7440"},"institutions":[{"id":"https://openalex.org/I112536369","display_name":"Yazd University","ror":"https://ror.org/02x99ac45","country_code":"IR","type":"education","lineage":["https://openalex.org/I112536369"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"M. R. Taban","raw_affiliation_strings":["Department of Electrical Engineering, Yazd University, Yazd, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Yazd University, Yazd, Iran","institution_ids":["https://openalex.org/I112536369"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076419717","display_name":"Aliakbar Tadaion","orcid":"https://orcid.org/0000-0002-0041-6167"},"institutions":[{"id":"https://openalex.org/I112536369","display_name":"Yazd University","ror":"https://ror.org/02x99ac45","country_code":"IR","type":"education","lineage":["https://openalex.org/I112536369"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"A. A. Tadaion","raw_affiliation_strings":["Department of Electrical Engineering, Yazd University, Yazd, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Yazd University, Yazd, Iran","institution_ids":["https://openalex.org/I112536369"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079464127","display_name":"Majid Gazor","orcid":"https://orcid.org/0000-0003-0417-9549"},"institutions":[{"id":"https://openalex.org/I170013655","display_name":"Isfahan University of Technology","ror":"https://ror.org/00af3sa43","country_code":"IR","type":"education","lineage":["https://openalex.org/I170013655"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"M. Gazor","raw_affiliation_strings":["Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran","institution_ids":["https://openalex.org/I170013655"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5078873247"],"corresponding_institution_ids":["https://openalex.org/I112536369","https://openalex.org/I204722609"],"apc_list":null,"apc_paid":null,"fwci":6.7373,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.97005914,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"60","issue":"11","first_page":"5626","last_page":"5639"},"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":0.9991999864578247,"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":0.9991999864578247,"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/T10891","display_name":"Radar Systems and Signal Processing","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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":0.677009105682373},{"id":"https://openalex.org/keywords/test-statistic","display_name":"Test statistic","score":0.5549755096435547},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5170689225196838},{"id":"https://openalex.org/keywords/bias-of-an-estimator","display_name":"Bias of an estimator","score":0.5079630017280579},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4954644441604614},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.48264628648757935},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.4808848202228546},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.46340155601501465},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.46311014890670776},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.46033817529678345},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.41960638761520386},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3956318795681},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.391382098197937},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.37124282121658325},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35740500688552856},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34424838423728943},{"id":"https://openalex.org/keywords/minimum-variance-unbiased-estimator","display_name":"Minimum-variance unbiased estimator","score":0.2775232791900635},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.08262410759925842}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.677009105682373},{"id":"https://openalex.org/C169857963","wikidata":"https://www.wikidata.org/wiki/Q1461038","display_name":"Test statistic","level":3,"score":0.5549755096435547},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5170689225196838},{"id":"https://openalex.org/C191393472","wikidata":"https://www.wikidata.org/wiki/Q15222032","display_name":"Bias of an estimator","level":4,"score":0.5079630017280579},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4954644441604614},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.48264628648757935},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.4808848202228546},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.46340155601501465},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.46311014890670776},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.46033817529678345},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.41960638761520386},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3956318795681},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.391382098197937},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37124282121658325},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35740500688552856},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34424838423728943},{"id":"https://openalex.org/C165646398","wikidata":"https://www.wikidata.org/wiki/Q3755281","display_name":"Minimum-variance unbiased estimator","level":3,"score":0.2775232791900635},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.08262410759925842},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2012.2211594","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2012.2211594","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.75}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W250076511","https://openalex.org/W586626860","https://openalex.org/W634797277","https://openalex.org/W1563505517","https://openalex.org/W1568191853","https://openalex.org/W1578953027","https://openalex.org/W1594563152","https://openalex.org/W1965392255","https://openalex.org/W1971312784","https://openalex.org/W1977606700","https://openalex.org/W1993393237","https://openalex.org/W2008662406","https://openalex.org/W2045638068","https://openalex.org/W2046232195","https://openalex.org/W2046790564","https://openalex.org/W2065231677","https://openalex.org/W2068694699","https://openalex.org/W2083506609","https://openalex.org/W2098243791","https://openalex.org/W2101291661","https://openalex.org/W2103435373","https://openalex.org/W2105308707","https://openalex.org/W2106421827","https://openalex.org/W2107470042","https://openalex.org/W2112839899","https://openalex.org/W2113066977","https://openalex.org/W2115638598","https://openalex.org/W2122759946","https://openalex.org/W2132198264","https://openalex.org/W2135430906","https://openalex.org/W2137493182","https://openalex.org/W2138645941","https://openalex.org/W2141171905","https://openalex.org/W2141787039","https://openalex.org/W2156348553","https://openalex.org/W2156755023","https://openalex.org/W2157148515","https://openalex.org/W2159195662","https://openalex.org/W2159605657","https://openalex.org/W2159965718","https://openalex.org/W2163599171","https://openalex.org/W2168077425","https://openalex.org/W2171402290","https://openalex.org/W3133603318","https://openalex.org/W3196620053","https://openalex.org/W4232025539","https://openalex.org/W4302561155"],"related_works":["https://openalex.org/W1998254728","https://openalex.org/W2077038896","https://openalex.org/W2069805373","https://openalex.org/W3015822731","https://openalex.org/W2810607982","https://openalex.org/W1987771408","https://openalex.org/W2042934151","https://openalex.org/W2905630886","https://openalex.org/W2612639608","https://openalex.org/W2023661646"],"abstract_inverted_index":{"In":[0,215],"this":[1],"paper,":[2],"we":[3,65,146,231,253,294],"study":[4,300],"some":[5,272,296],"relationships":[6],"between":[7,237,303],"the":[8,45,68,78,86,94,97,103,106,121,132,149,159,164,169,189,203,210,222,256,264,267,301,304,311],"detection":[9],"and":[10,32,49,53,81,185,310],"estimation":[11,35],"theories":[12],"for":[13,44,93,114,131,163,175,188,290],"a":[14,33,40,90,117,127,135,152,241,308],"binary":[15],"composite":[16,140],"hypothesis":[17,51],"test":[18,73,99,167,224,309],"<i":[19,26,179,192],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[20,23,27,30,180,183,193,196],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">H</i>":[21,28,181,194],"<sub":[22,29,182,195],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">0</sub>":[24,197],"against":[25],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[31,184],"related":[34],"problem.":[36],"We":[37,199],"start":[38],"with":[39,89,142,218],"one-dimensional":[41],"(1D)":[42],"space":[43,48],"unknown":[46,87,107,122,144,220],"parameter":[47,88,108,123],"one-sided":[50,63],"problems":[52,217],"then":[54,200,248],"extend":[55],"out":[56],"results":[57,275],"into":[58],"more":[59,136,258],"general":[60,137],"cases.":[61],"For":[62,134,228,262],"tests,":[64],"show":[66,232],"that":[67,148,202,233],"uniformly":[69],"most":[70],"powerful":[71],"(UMP)":[72],"is":[74,124,171,186,207,266],"achieved":[75],"by":[76],"comparing":[77],"minimum":[79],"variance":[80],"unbiased":[82,166,205],"estimator":[83,119,312],"(MVUE)":[84],"of":[85,105,120,139,151,212,307,313],"threshold.":[91],"Thus":[92],"case":[95],"where":[96,168],"UMP":[98,165,204,223],"does":[100,109,225],"not":[101,110,226],"exist,":[102],"MVUE":[104,150,211],"exist":[111],"either.":[112],"Therefore":[113],"such":[115,229],"cases,":[116,230],"good":[118,128],"deemed":[125],"as":[126,158],"decision":[129,161,251,305],"statistic":[130,162,206,252,306],"test.":[133],"class":[138],"testing":[141],"multiple":[143,219],"parameters,":[145,221],"prove":[147,201],"separating":[153],"function":[154],"(SF)":[155],"can":[156,254],"serve":[157],"optimal":[160],"SF":[170,257,265],"continuous,":[172],"differentiable,":[173],"positive":[174],"all":[176],"parameters":[177,190],"under":[178,191],"negative":[187],".":[198],"equal":[208],"to":[209,278,288,299],"an":[213],"SF.":[214,316],"many":[216,291],"exist.":[227],"if":[234],"one":[235],"detector":[236],"two":[238],"detectors":[239],"has":[240],"better":[242],"receiver":[243],"operating":[244],"characteristic":[245],"(ROC)":[246],"curve,":[247],"using":[249],"its":[250,314],"estimate":[255],"\u03b5-accurately,":[259],"in":[260,271],"probability.":[261],"example,":[263],"signal-to-noise":[268],"ratio":[269],"(SNR)":[270],"problems.":[273,292],"These":[274],"motivate":[276],"us":[277],"introduce":[279],"new":[280],"suboptimal":[281],"SF-estimator":[282],"tests":[283],"(SFETs)":[284],"which":[285],"are":[286],"easy":[287],"derive":[289],"Finally,":[293],"provide":[295],"practical":[297],"examples":[298],"relationship":[302],"corresponding":[315]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
