{"id":"https://openalex.org/W2999466927","doi":"https://doi.org/10.1109/tsp.2020.2967179","title":"Distributions and Power of Optimal Signal-Detection Statistics in Finite Case","display_name":"Distributions and Power of Optimal Signal-Detection Statistics in Finite Case","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2999466927","doi":"https://doi.org/10.1109/tsp.2020.2967179","mag":"2999466927"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2020.2967179","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2020.2967179","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/A5016992582","display_name":"Hong Zhang","orcid":"https://orcid.org/0000-0002-8869-8671"},"institutions":[{"id":"https://openalex.org/I4210133369","display_name":"Decision Sciences (United States)","ror":"https://ror.org/03gcvf773","country_code":"US","type":"company","lineage":["https://openalex.org/I4210133369"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Hong Zhang","raw_affiliation_strings":["Biostatistics and Research Decision Sciences, Merck Research Laboratories, Rahway, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Biostatistics and Research Decision Sciences, Merck Research Laboratories, Rahway, USA","institution_ids":["https://openalex.org/I4210133369"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101966933","display_name":"Jiashun Jin","orcid":"https://orcid.org/0000-0002-7442-1962"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jiashun Jin","raw_affiliation_strings":["Department of Statistics, Carnegie Mellon University, Pittsburgh, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics, Carnegie Mellon University, Pittsburgh, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051573298","display_name":"Zheyang Wu","orcid":"https://orcid.org/0000-0003-0641-0791"},"institutions":[{"id":"https://openalex.org/I107077323","display_name":"Worcester Polytechnic Institute","ror":"https://ror.org/05ejpqr48","country_code":"US","type":"education","lineage":["https://openalex.org/I107077323"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zheyang Wu","raw_affiliation_strings":["Department of Mathematical Sciences, Worcester Polytechnic Institute, Worcester, USA"],"raw_orcid":"https://orcid.org/0000-0003-0641-0791","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Worcester Polytechnic Institute, Worcester, USA","institution_ids":["https://openalex.org/I107077323"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5016992582"],"corresponding_institution_ids":["https://openalex.org/I4210133369"],"apc_list":null,"apc_paid":null,"fwci":2.2065,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.88711346,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"68","issue":null,"first_page":"1021","last_page":"1033"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9902999997138977,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9902999997138977,"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/T10885","display_name":"Gene expression and cancer classification","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10261","display_name":"Genetic Associations and Epidemiology","score":0.9805999994277954,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6066566109657288},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5635252594947815},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5015974044799805},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.4765772819519043},{"id":"https://openalex.org/keywords/sufficient-statistic","display_name":"Sufficient statistic","score":0.4594138562679291},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3794653117656708},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36228325963020325}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6066566109657288},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5635252594947815},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5015974044799805},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.4765772819519043},{"id":"https://openalex.org/C178197554","wikidata":"https://www.wikidata.org/wiki/Q1099110","display_name":"Sufficient statistic","level":2,"score":0.4594138562679291},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3794653117656708},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36228325963020325},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2020.2967179","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2020.2967179","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":72,"referenced_works":["https://openalex.org/W1503709951","https://openalex.org/W1528905581","https://openalex.org/W1606000469","https://openalex.org/W1642457845","https://openalex.org/W1642679638","https://openalex.org/W1670573097","https://openalex.org/W1696066093","https://openalex.org/W1964232485","https://openalex.org/W1968428060","https://openalex.org/W1971265470","https://openalex.org/W1973429805","https://openalex.org/W1974169660","https://openalex.org/W1978717225","https://openalex.org/W1981106668","https://openalex.org/W1981714996","https://openalex.org/W1981979819","https://openalex.org/W1987493079","https://openalex.org/W1994005523","https://openalex.org/W1998388025","https://openalex.org/W2006256533","https://openalex.org/W2016512676","https://openalex.org/W2019593469","https://openalex.org/W2028072731","https://openalex.org/W2032085328","https://openalex.org/W2035983506","https://openalex.org/W2044020662","https://openalex.org/W2049704395","https://openalex.org/W2052456407","https://openalex.org/W2053746068","https://openalex.org/W2061257687","https://openalex.org/W2064921494","https://openalex.org/W2076978672","https://openalex.org/W2084680108","https://openalex.org/W2086476397","https://openalex.org/W2090430326","https://openalex.org/W2094970234","https://openalex.org/W2096000002","https://openalex.org/W2101453243","https://openalex.org/W2102109283","https://openalex.org/W2107580398","https://openalex.org/W2113575907","https://openalex.org/W2120029762","https://openalex.org/W2127886488","https://openalex.org/W2136277139","https://openalex.org/W2138423928","https://openalex.org/W2140231372","https://openalex.org/W2141156676","https://openalex.org/W2156540265","https://openalex.org/W2157752701","https://openalex.org/W2169116789","https://openalex.org/W2172012311","https://openalex.org/W2219660543","https://openalex.org/W2302198122","https://openalex.org/W2331499103","https://openalex.org/W2342621145","https://openalex.org/W2577254755","https://openalex.org/W2586725517","https://openalex.org/W2742570293","https://openalex.org/W2785011856","https://openalex.org/W2799079884","https://openalex.org/W2973042846","https://openalex.org/W3102033309","https://openalex.org/W3105199140","https://openalex.org/W3105692767","https://openalex.org/W3106056496","https://openalex.org/W3106326107","https://openalex.org/W4247888566","https://openalex.org/W4255298020","https://openalex.org/W4301861531","https://openalex.org/W6630157956","https://openalex.org/W6636240573","https://openalex.org/W6963436093"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2056240061","https://openalex.org/W2888831804","https://openalex.org/W1974169660","https://openalex.org/W1971018524","https://openalex.org/W4249796379","https://openalex.org/W2734896878","https://openalex.org/W2002242968","https://openalex.org/W2471103507"],"abstract_inverted_index":{"For":[0],"detecting":[1,200],"weak":[2,205],"and":[3,24,54,89,110,140,149,218],"sparse":[4],"signals":[5,129],"by":[6],"a":[7,63,69,80,117,196],"set":[8],"of":[9,72,96,107,128],"n":[10,34,50],"input":[11],"p-values,":[12],"the":[13,19,25,29,76,94,97,108,111,126,135,141,154,166,173,180,221],"Higher":[14],"Criticism":[15],"(HC)":[16],"type":[17,22],"statistics,":[18,23,74],"BerkJones":[20],"(B-J)":[21],"phi-divergence":[26],"statistics":[27,83,99,194],"have":[28,41,144,195,210],"equivalent":[30],"asymptotic":[31],"optimality":[32],"as":[33],"goes":[35],"to":[36,164,179],"infinity.":[37],"However,":[38],"they":[39],"can":[40],"significantly":[42],"different":[43],"performance":[44],"in":[45,62,123],"practical":[46],"data":[47,169],"analysis,":[48],"where":[49],"is":[51,130,156,162],"always":[52],"finite":[53,124],"even":[55],"very":[56],"small.":[57],"To":[58],"address":[59],"this":[60,66],"problem":[61],"broader":[64],"context,":[65],"paper":[67],"introduces":[68],"general":[70,160],"family":[71],"goodness-of-fit":[73],"called":[75],"gGOF,":[77],"which":[78],"unifies":[79],"broad":[81],"signal-detection":[82],"including":[84],"these":[85,192],"optimal":[86,193],"ones.":[87],"Efficient":[88],"accurate":[90],"analytical":[91],"calculations":[92,209],"for":[93,146,187,199],"distributions":[95],"gGOF":[98,167],"are":[100],"provided":[101],"under":[102],"arbitrary":[103],"i.i.d.":[104],"continuous":[105],"models":[106],"null":[109],"alternative":[112],"hypotheses.":[113],"Based":[114],"on":[115,172,220],"that,":[116],"systematic":[118],"power":[119],"study":[120,185],"reveals":[121],"that":[122,191],"case,":[125],"number":[127],"often":[131],"more":[132,157],"relevant":[133],"than":[134],"signal":[136],"proportion.":[137],"The":[138,208],"HC":[139,143],"reverse":[142],"advantages":[145],"relatively":[147],"sparser":[148],"denser":[150],"signals,":[151],"respectively,":[152],"while":[153],"B-J":[155],"robust.":[158],"A":[159],"framework":[161],"given":[163],"apply":[165],"into":[168,213],"analysis":[170],"based":[171,182],"generalized":[174],"linear":[175],"models.":[176],"An":[177],"application":[178],"SNP-set":[181],"genome-wide":[183],"association":[184],"(GWAS)":[186],"Crohn's":[188],"disease":[189,202],"shows":[190],"good":[197],"potential":[198],"novel":[201],"genes":[203],"with":[204],"SNP":[206],"effects.":[207],"been":[211],"implemented":[212],"an":[214],"R":[215],"package":[216],"SetTest":[217],"published":[219],"CRAN.":[222]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}