{"id":"https://openalex.org/W4310902960","doi":"https://doi.org/10.1109/itw54588.2022.9965931","title":"Second-Order Asymptotics of Hoeffding-Like Hypothesis Tests","display_name":"Second-Order Asymptotics of Hoeffding-Like Hypothesis Tests","publication_year":2022,"publication_date":"2022-11-01","ids":{"openalex":"https://openalex.org/W4310902960","doi":"https://doi.org/10.1109/itw54588.2022.9965931"},"language":"en","primary_location":{"id":"doi:10.1109/itw54588.2022.9965931","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw54588.2022.9965931","pdf_url":null,"source":{"id":"https://openalex.org/S4363606450","display_name":"2022 IEEE Information Theory Workshop (ITW)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10016/36612","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036928813","display_name":"K. V. Harsha","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"K. V. Harsha","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016538666","display_name":"Jithin Ravi","orcid":"https://orcid.org/0000-0001-5348-5847"},"institutions":[{"id":"https://openalex.org/I145894827","display_name":"Indian Institute of Technology Kharagpur","ror":"https://ror.org/03w5sq511","country_code":"IN","type":"education","lineage":["https://openalex.org/I145894827"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Jithin Ravi","raw_affiliation_strings":["Indian Institute of Technology Kharagpur,India","Indian Institute of Technology Kharagpur, India"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology Kharagpur,India","institution_ids":["https://openalex.org/I145894827"]},{"raw_affiliation_string":"Indian Institute of Technology Kharagpur, India","institution_ids":["https://openalex.org/I145894827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036503339","display_name":"Tobias Koch","orcid":"https://orcid.org/0000-0002-6496-3485"},"institutions":[{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"education","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Tobias Koch","raw_affiliation_strings":["Universidad Carlos III de Madrid, Legan&#x00E9;s,Spain and Gregorio Mara&#x00F1;&#x00F3;n Health Research Institute,Madrid,Spain"],"affiliations":[{"raw_affiliation_string":"Universidad Carlos III de Madrid, Legan&#x00E9;s,Spain and Gregorio Mara&#x00F1;&#x00F3;n Health Research Institute,Madrid,Spain","institution_ids":["https://openalex.org/I50357001"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5036928813"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3219,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.44444081,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"231","issue":null,"first_page":"654","last_page":"659"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9916999936103821,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9896000027656555,"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/divergence","display_name":"Divergence (linguistics)","score":0.7866557836532593},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.7067437767982483},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5930919647216797},{"id":"https://openalex.org/keywords/null","display_name":"Null (SQL)","score":0.5799578428268433},{"id":"https://openalex.org/keywords/type-i-and-type-ii-errors","display_name":"Type I and type II errors","score":0.5674238204956055},{"id":"https://openalex.org/keywords/statistical-hypothesis-testing","display_name":"Statistical hypothesis testing","score":0.5447093844413757},{"id":"https://openalex.org/keywords/null-hypothesis","display_name":"Null hypothesis","score":0.5304462313652039},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.5224515199661255},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5185285806655884},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.4616941213607788},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.44543084502220154},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4351418912410736},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4338570833206177},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.41791072487831116},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38231372833251953},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33564215898513794},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.29443585872650146},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25355690717697144},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21264132857322693},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.11114194989204407},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.06907138228416443}],"concepts":[{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.7866557836532593},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.7067437767982483},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5930919647216797},{"id":"https://openalex.org/C203763787","wikidata":"https://www.wikidata.org/wiki/Q371029","display_name":"Null (SQL)","level":2,"score":0.5799578428268433},{"id":"https://openalex.org/C40696583","wikidata":"https://www.wikidata.org/wiki/Q989120","display_name":"Type I and type II errors","level":2,"score":0.5674238204956055},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.5447093844413757},{"id":"https://openalex.org/C191988596","wikidata":"https://www.wikidata.org/wiki/Q628374","display_name":"Null hypothesis","level":2,"score":0.5304462313652039},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5224515199661255},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5185285806655884},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.4616941213607788},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.44543084502220154},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4351418912410736},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4338570833206177},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.41791072487831116},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38231372833251953},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33564215898513794},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.29443585872650146},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25355690717697144},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21264132857322693},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.11114194989204407},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.06907138228416443},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/itw54588.2022.9965931","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw54588.2022.9965931","pdf_url":null,"source":{"id":"https://openalex.org/S4363606450","display_name":"2022 IEEE Information Theory Workshop (ITW)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"},{"id":"pmh:oai:e-archivo.uc3m.es:10016/36612","is_oa":true,"landing_page_url":"http://hdl.handle.net/10016/36612","pdf_url":null,"source":{"id":"https://openalex.org/S4306400817","display_name":"e-Archivo (Carlos III University of Madrid)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I50357001","host_organization_name":"Universidad Carlos III de Madrid","host_organization_lineage":["https://openalex.org/I50357001"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/other"}],"best_oa_location":{"id":"pmh:oai:e-archivo.uc3m.es:10016/36612","is_oa":true,"landing_page_url":"http://hdl.handle.net/10016/36612","pdf_url":null,"source":{"id":"https://openalex.org/S4306400817","display_name":"e-Archivo (Carlos III University of Madrid)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I50357001","host_organization_name":"Universidad Carlos III de Madrid","host_organization_lineage":["https://openalex.org/I50357001"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/other"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320323770","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1969605329","https://openalex.org/W2019841176","https://openalex.org/W2028136296","https://openalex.org/W2055309977","https://openalex.org/W2074269613","https://openalex.org/W2103641619","https://openalex.org/W2106864314","https://openalex.org/W2112939491","https://openalex.org/W2127904409","https://openalex.org/W2154518298","https://openalex.org/W2478708596","https://openalex.org/W2485135680","https://openalex.org/W2922171427","https://openalex.org/W2950067144","https://openalex.org/W4246098931","https://openalex.org/W4310902960","https://openalex.org/W4388900512","https://openalex.org/W6684320684"],"related_works":["https://openalex.org/W3003558595","https://openalex.org/W4361270669","https://openalex.org/W4290692481","https://openalex.org/W4385586894","https://openalex.org/W1962532029","https://openalex.org/W4249473446","https://openalex.org/W1995992573","https://openalex.org/W2185061964","https://openalex.org/W2012721368","https://openalex.org/W4232163653"],"abstract_inverted_index":{"We":[0],"consider":[1,76],"a":[2,42,91,106,128],"binary":[3],"statistical":[4],"hypothesis":[5,27,32],"testing":[6],"problem,":[7,41],"where":[8,79],"n":[9],"independent":[10],"and":[11,34,66,88,98],"identically":[12],"distributed":[13,22],"random":[14],"variables":[15],"Z":[16,62],"<sup":[17,63],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[18,64],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sup>":[19,65],"are":[20],"either":[21],"according":[23],"to":[24],"the":[25,30,46,53,58,80,96,102,111,115,120,124],"null":[26],"P":[28,36,51,67],"or":[29],"alternate":[31],"Q,":[33],"only":[35],"is":[37,45,68,83],"known.":[38],"For":[39],"this":[40,73],"well-known":[43],"test":[44,126],"Hoeffding":[47,125],"test,":[48],"which":[49],"accepts":[50],"if":[52],"Kullback-Leibler":[54],"(KL)":[55],"divergence":[56,82],"between":[57],"empirical":[59],"distribution":[60],"of":[61,94,101,123],"below":[69],"some":[70],"threshold.":[71],"In":[72],"paper,":[74],"we":[75,118],"Hoeffding-like":[77],"tests,":[78],"KL":[81,116],"replaced":[84],"by":[85],"other":[86],"divergences,":[87,95],"characterize,":[89],"for":[90,105],"large":[92],"class":[93,113],"first":[97],"second-order":[99,121],"terms":[100],"type-II":[103],"error":[104],"fixed":[107],"type-I":[108],"error.":[109],"Since":[110],"considered":[112],"includes":[114],"divergence,":[117],"obtain":[119],"term":[122],"as":[127],"special":[129],"case.":[130]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-12-20T00:00:00"}