{"id":"https://openalex.org/W3201096617","doi":"https://doi.org/10.1142/s0218001421510101","title":"An Extension of the Gamma Test Statistics to Binary Variables and Some Applications","display_name":"An Extension of the Gamma Test Statistics to Binary Variables and Some Applications","publication_year":2021,"publication_date":"2021-08-01","ids":{"openalex":"https://openalex.org/W3201096617","doi":"https://doi.org/10.1142/s0218001421510101","mag":"3201096617"},"language":"en","primary_location":{"id":"doi:10.1142/s0218001421510101","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218001421510101","pdf_url":null,"source":{"id":"https://openalex.org/S41486457","display_name":"International Journal of Pattern Recognition and Artificial Intelligence","issn_l":"0218-0014","issn":["0218-0014","1793-6381"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Pattern Recognition and Artificial Intelligence","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/A5011206738","display_name":"Alessandro Selvitella","orcid":"https://orcid.org/0000-0002-1620-998X"},"institutions":[{"id":"https://openalex.org/I75381157","display_name":"Wilfrid Laurier University","ror":"https://ror.org/00fn7gb05","country_code":"CA","type":"education","lineage":["https://openalex.org/I75381157"]},{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]},{"id":"https://openalex.org/I153718931","display_name":"University of Ottawa","ror":"https://ror.org/03c4mmv16","country_code":"CA","type":"education","lineage":["https://openalex.org/I153718931"]},{"id":"https://openalex.org/I162817326","display_name":"Indiana University \u2013 Purdue University Fort Wayne","ror":"https://ror.org/01jxzq227","country_code":"US","type":"education","lineage":["https://openalex.org/I162817326"]}],"countries":["CA","US"],"is_corresponding":true,"raw_author_name":"Alessandro Maria Selvitella","raw_affiliation_strings":["Department of Mathematical Sciences, Purdue University Fort Wayne, 2101 E Coliseum Blvd, Fort Wayne, IN 46805, US","Department of Mathematics and Statistics, University of Ottawa, 75 Laurier Avenue E, Ottawa, ON K1N 6N5, Canada","Departments of Psychiatry and Computing Science, University of Alberta, 116 St & 85 Avenue, Edmonton, AB T6G 2R3, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Purdue University Fort Wayne, 2101 E Coliseum Blvd, Fort Wayne, IN 46805, US","institution_ids":["https://openalex.org/I162817326"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Ottawa, 75 Laurier Avenue E, Ottawa, ON K1N 6N5, Canada","institution_ids":["https://openalex.org/I153718931","https://openalex.org/I75381157"]},{"raw_affiliation_string":"Departments of Psychiatry and Computing Science, University of Alberta, 116 St & 85 Avenue, Edmonton, AB T6G 2R3, Canada","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019572093","display_name":"Julio J. Vald\u00e9s","orcid":"https://orcid.org/0000-0003-2930-0325"},"institutions":[{"id":"https://openalex.org/I4210159778","display_name":"National Research Council Canada","ror":"https://ror.org/04mte1k06","country_code":"CA","type":"government","lineage":["https://openalex.org/I4210159778"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Julio J. Vald\u00e9s","raw_affiliation_strings":["National Research Council, Data Science for Complex Systems Group, Canada"],"affiliations":[{"raw_affiliation_string":"National Research Council, Data Science for Complex Systems Group, Canada","institution_ids":["https://openalex.org/I4210159778"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011206738"],"corresponding_institution_ids":["https://openalex.org/I153718931","https://openalex.org/I154425047","https://openalex.org/I162817326","https://openalex.org/I75381157"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12825461,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":"10","first_page":"2151010","last_page":"2151010"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T11236","display_name":"Control Systems and Identification","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10320","display_name":"Neural Networks and Applications","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9962999820709229,"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/heuristics","display_name":"Heuristics","score":0.7612212896347046},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.689262330532074},{"id":"https://openalex.org/keywords/binary-classification","display_name":"Binary classification","score":0.6709376573562622},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.6502785682678223},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6269689798355103},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5328643321990967},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.495809406042099},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44112181663513184},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.4340498745441437},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3907882273197174},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.25705668330192566},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.09406420588493347},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.07803446054458618}],"concepts":[{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.7612212896347046},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.689262330532074},{"id":"https://openalex.org/C66905080","wikidata":"https://www.wikidata.org/wiki/Q17005494","display_name":"Binary classification","level":3,"score":0.6709376573562622},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6502785682678223},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6269689798355103},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5328643321990967},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.495809406042099},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44112181663513184},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.4340498745441437},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3907882273197174},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.25705668330192566},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.09406420588493347},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.07803446054458618},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218001421510101","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218001421510101","pdf_url":null,"source":{"id":"https://openalex.org/S41486457","display_name":"International Journal of Pattern Recognition and Artificial Intelligence","issn_l":"0218-0014","issn":["0218-0014","1793-6381"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Pattern Recognition and Artificial Intelligence","raw_type":"journal-article"},{"id":"pmh:oai:cisti-icist.nrc-cnrc.ca:cistinparc:b8d6fc0c-842f-407e-a7b6-59d5c4938eb8","is_oa":false,"landing_page_url":"https://nrc-publications.canada.ca/eng/view/object/?id=b8d6fc0c-842f-407e-a7b6-59d5c4938eb8","pdf_url":null,"source":{"id":"https://openalex.org/S7407055245","display_name":"NPARC","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":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W13458803","https://openalex.org/W1982305331","https://openalex.org/W2023587172","https://openalex.org/W2026816962","https://openalex.org/W2027203222","https://openalex.org/W2035691333","https://openalex.org/W2052589403","https://openalex.org/W2053690778","https://openalex.org/W2070276049","https://openalex.org/W2090914356","https://openalex.org/W2100008277","https://openalex.org/W2112292994","https://openalex.org/W2117661330","https://openalex.org/W2124697405","https://openalex.org/W2145003944","https://openalex.org/W2150501807","https://openalex.org/W2406708863","https://openalex.org/W2735443201","https://openalex.org/W2735860469","https://openalex.org/W2805527161","https://openalex.org/W3083161214"],"related_works":["https://openalex.org/W2280422768","https://openalex.org/W3143197806","https://openalex.org/W4252555497","https://openalex.org/W3121175838","https://openalex.org/W3016293053","https://openalex.org/W2401723157","https://openalex.org/W2952904874","https://openalex.org/W4297690216","https://openalex.org/W2046798493","https://openalex.org/W1523447316"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,25],"discuss":[4],"the":[5,9,27,32,35,38,42,54,57,61,73,80,96,102],"problem":[6],"of":[7,31,34,53,75,77],"estimating":[8],"minimum":[10],"error":[11],"reachable":[12],"by":[13],"a":[14,18],"regression":[15],"model":[16,97],"given":[17],"dataset,":[19],"prior":[20],"to":[21,41,94,100],"learning.":[22],"More":[23],"specifically,":[24],"extend":[26],"Gamma":[28],"Test":[29],"estimates":[30],"variance":[33],"noise":[36],"from":[37],"continuous":[39,58],"case":[40,59],"binary":[43],"case.":[44],"We":[45],"give":[46],"some":[47,68],"heuristics":[48],"for":[49],"further":[50],"possible":[51,104],"extensions":[52],"theory":[55],"in":[56,98],"with":[60,67],"[Formula:":[62],"see":[63],"text]-norm":[64],"and":[65,70],"conclude":[66],"applications":[69],"simulations.":[71],"From":[72],"point":[74],"view":[76],"machine":[78],"learning,":[79],"result":[81],"is":[82,91],"relevant":[83],"because":[84],"it":[85],"gives":[86],"conditions":[87],"under":[88],"which":[89],"there":[90],"no":[92],"need":[93],"learn":[95],"order":[99],"predict":[101],"best":[103],"performance.":[105]},"counts_by_year":[],"updated_date":"2026-03-02T08:37:19.008085","created_date":"2025-10-10T00:00:00"}
