{"id":"https://openalex.org/W2119043560","doi":"https://doi.org/10.1007/s00224-009-9240-4","title":"Notes on Sum-Tests and Independence Tests","display_name":"Notes on Sum-Tests and Independence Tests","publication_year":2009,"publication_date":"2009-10-26","ids":{"openalex":"https://openalex.org/W2119043560","doi":"https://doi.org/10.1007/s00224-009-9240-4","mag":"2119043560"},"language":"en","primary_location":{"id":"doi:10.1007/s00224-009-9240-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00224-009-9240-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00224-009-9240-4.pdf","source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00224-009-9240-4.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040564003","display_name":"Bruno Bauwens","orcid":"https://orcid.org/0000-0002-6138-0591"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Bruno Bauwens","raw_affiliation_strings":["Department of Electrical Energy, Systems and Automation, Ghent University, Technologiepark 913, 9052, Ghent, Belgium","Ghent University, Department of Electrical Energy, Systems and Automation, Technologiepark 913, 9052, Ghent, Belgium#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Energy, Systems and Automation, Ghent University, Technologiepark 913, 9052, Ghent, Belgium","institution_ids":["https://openalex.org/I32597200"]},{"raw_affiliation_string":"Ghent University, Department of Electrical Energy, Systems and Automation, Technologiepark 913, 9052, Ghent, Belgium#TAB#","institution_ids":["https://openalex.org/I32597200"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076144323","display_name":"Sebastiaan A. Terwijn","orcid":"https://orcid.org/0000-0002-1464-6908"},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Sebastiaan A. Terwijn","raw_affiliation_strings":["Department of Mathematics, Radboud University Nijmegen, P.O. Box 9010, 6500 GL, Nijmegen, The Netherlands","Radboud University Nijmegen, Department of Mathematics, P.O. Box 9010, 6500 GL, Nijmegen, The Netherlands#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Radboud University Nijmegen, P.O. Box 9010, 6500 GL, Nijmegen, The Netherlands","institution_ids":["https://openalex.org/I145872427"]},{"raw_affiliation_string":"Radboud University Nijmegen, Department of Mathematics, P.O. Box 9010, 6500 GL, Nijmegen, The Netherlands#TAB#","institution_ids":["https://openalex.org/I145872427"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5040564003"],"corresponding_institution_ids":["https://openalex.org/I32597200"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":2.1442,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.87511563,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"48","issue":"2","first_page":"247","last_page":"268"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11567","display_name":"semigroups and automata theory","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/unary-operation","display_name":"Unary operation","score":0.6866663694381714},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6667636036872864},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.6659284234046936},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5490095019340515},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5300968289375305},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.446671724319458},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4308667778968811},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.22959628701210022},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05694460868835449}],"concepts":[{"id":"https://openalex.org/C78023250","wikidata":"https://www.wikidata.org/wiki/Q657596","display_name":"Unary operation","level":2,"score":0.6866663694381714},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6667636036872864},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.6659284234046936},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5490095019340515},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5300968289375305},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.446671724319458},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4308667778968811},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.22959628701210022},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05694460868835449}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.1007/s00224-009-9240-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00224-009-9240-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00224-009-9240-4.pdf","source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing Systems","raw_type":"journal-article"},{"id":"pmh:oai:archive.ugent.be:983761","is_oa":false,"landing_page_url":"https://biblio.ugent.be/publication/983761","pdf_url":null,"source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"THEORY OF COMPUTING SYSTEMS ","raw_type":"journalArticle"},{"id":"pmh:oai:dare.uva.nl:openaire_cris_publications/82a7871c-686b-4026-b485-01950a08f6b9","is_oa":true,"landing_page_url":"https://dare.uva.nl/personal/pure/en/publications/notes-on-sumtests-and-independence-tests(82a7871c-686b-4026-b485-01950a08f6b9).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bauwens, B & Terwijn, S A 2011, 'Notes on sum-tests and independence tests', Theory of Computing Systems, vol. 48, no. 2, pp. 247-268. https://doi.org/10.1007/s00224-009-9240-4","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:dare.uva.nl:publications/82a7871c-686b-4026-b485-01950a08f6b9","is_oa":true,"landing_page_url":"https://handle.uba.uva.nl/personal/pure/en/publications/notes-on-sumtests-and-independence-tests(82a7871c-686b-4026-b485-01950a08f6b9).html","pdf_url":"https://pure.uva.nl/ws/files/836751/87086_313025.pdf","source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"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":"Bauwens, B & Terwijn, S A 2011, 'Notes on sum-tests and independence tests', Theory of Computing Systems, vol. 48, no. 2, pp. 247-268. https://doi.org/10.1007/s00224-009-9240-4","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:archive.ugent.be:779761","is_oa":true,"landing_page_url":"https://biblio.ugent.be/publication/779761","pdf_url":null,"source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"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":"ISSN: 1432-4350","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:dare.uva.nl:publications/82a7871c-686b-4026-b485-01950a08f6b9","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:repository.ubn.ru.nl:2066/275732","is_oa":false,"landing_page_url":"https://repository.ubn.ru.nl/handle/2066/275732","pdf_url":null,"source":{"id":"https://openalex.org/S4306401067","display_name":"Radboud Repository (Radboud University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145872427","host_organization_name":"Radboud University Nijmegen","host_organization_lineage":["https://openalex.org/I145872427"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article / Letter to editor"},{"id":"pmh:ru:oai:repository.ubn.ru.nl:2066/275732","is_oa":false,"landing_page_url":"http://hdl.handle.net/2066/275732","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theory of Computing Systems, 48, 247 - 268","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s00224-009-9240-4","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00224-009-9240-4","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00224-009-9240-4.pdf","source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320327336","display_name":"Vlaamse regering","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2119043560.pdf","grobid_xml":"https://content.openalex.org/works/W2119043560.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W75933535","https://openalex.org/W109020964","https://openalex.org/W614670535","https://openalex.org/W1548802052","https://openalex.org/W1574049752","https://openalex.org/W1638203394","https://openalex.org/W1967782843","https://openalex.org/W2021879680","https://openalex.org/W2041517255","https://openalex.org/W2074273067","https://openalex.org/W2121295993","https://openalex.org/W2128859735","https://openalex.org/W2144221002","https://openalex.org/W2145544165","https://openalex.org/W2165897980","https://openalex.org/W2295278941","https://openalex.org/W2499081645","https://openalex.org/W4205778870","https://openalex.org/W4230960895"],"related_works":["https://openalex.org/W4294364856","https://openalex.org/W2315570462","https://openalex.org/W2164522043","https://openalex.org/W2299552569","https://openalex.org/W4383216082","https://openalex.org/W2163912400","https://openalex.org/W4298018575","https://openalex.org/W2700088093","https://openalex.org/W2359419821","https://openalex.org/W2798178534"],"abstract_inverted_index":{"We":[0],"study":[1,40],"statistical":[2],"sum-tests":[3],"and":[4,38],"independence":[5,73],"tests,":[6],"in":[7,52,68],"particular":[8],"for":[9,23],"computably":[10],"enumerable":[11],"semimeasures":[12,25],"on":[13],"a":[14],"discrete":[15],"domain.":[16],"Among":[17],"other":[18],"things,":[19],"we":[20,39,58,75],"prove":[21,76],"that":[22,77],"universal":[24,50,62],"every":[26],"$\\Sigma":[27],"^{0}_{1}$":[28,35,64],"-sum-test":[29],"is":[30],"bounded,":[31],"but":[32],"unbounded":[33],"$\\Pi":[34,63],"-sum-tests":[36,65],"exist,":[37,66],"to":[41],"what":[42],"extent":[43],"the":[44,53,69],"latter":[45],"can":[46],"be":[47],"universal.":[48],"For":[49],"semimeasures,":[51],"unary":[54],"case":[55,71],"of":[56,72],"sum-test":[57],"leave":[59],"open":[60],"whether":[61],"whereas":[67],"binary":[70],"tests":[74],"they":[78],"do":[79],"not":[80],"exist.":[81]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}
