{"id":"https://openalex.org/W2046188789","doi":"https://doi.org/10.1109/tit.1975.1055332","title":"Necessary and sufficient memory size for m-hypothesis testing","display_name":"Necessary and sufficient memory size for m-hypothesis testing","publication_year":1975,"publication_date":"1975-01-01","ids":{"openalex":"https://openalex.org/W2046188789","doi":"https://doi.org/10.1109/tit.1975.1055332","mag":"2046188789"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1975.1055332","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1975.1055332","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","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/A5109171605","display_name":"J. Koplowitz","orcid":null},"institutions":[{"id":"https://openalex.org/I196883781","display_name":"Clarkson College","ror":"https://ror.org/03vkpnc84","country_code":"US","type":"education","lineage":["https://openalex.org/I196883781"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"J. Koplowitz","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Clarkson College of Technology, Potsdam, NY, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Clarkson College of Technology, Potsdam, NY, USA","institution_ids":["https://openalex.org/I196883781"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5109171605"],"corresponding_institution_ids":["https://openalex.org/I196883781"],"apc_list":null,"apc_paid":null,"fwci":0.5925,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.67019475,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"21","issue":"1","first_page":"44","last_page":"46"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9869999885559082,"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":0.9869999885559082,"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/T11443","display_name":"Advanced Statistical Process Monitoring","score":0.9828000068664551,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11235","display_name":"Statistical Methods in Clinical Trials","score":0.9657999873161316,"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/limiting","display_name":"Limiting","score":0.48242172598838806},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.45845311880111694},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38829702138900757},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37933236360549927},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.36309516429901123},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35973066091537476},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3513571619987488},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34651732444763184},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.3444318175315857},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34305131435394287},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09223973751068115}],"concepts":[{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.48242172598838806},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.45845311880111694},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38829702138900757},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37933236360549927},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.36309516429901123},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35973066091537476},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3513571619987488},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34651732444763184},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.3444318175315857},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34305131435394287},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09223973751068115},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1975.1055332","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1975.1055332","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","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":5,"referenced_works":["https://openalex.org/W1971418757","https://openalex.org/W2000114801","https://openalex.org/W2037144484","https://openalex.org/W2042790048","https://openalex.org/W2071080750"],"related_works":["https://openalex.org/W2347733609","https://openalex.org/W2066502241","https://openalex.org/W2605475288","https://openalex.org/W2292976891","https://openalex.org/W4245457074","https://openalex.org/W2128683635","https://openalex.org/W4240383795","https://openalex.org/W2008809748","https://openalex.org/W2951620698","https://openalex.org/W4297848787"],"abstract_inverted_index":{"Let":[0],"<tex":[1,17,28,33,50,68],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[2,18,29,34,51,69],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">X_1,X_2,":[3],"\\cdots</tex>":[4,48],"be":[5],"a":[6,64,84],"sequence":[7],"of":[8,87],"independent":[9],"identically":[10],"distributed":[11],"Bernoulli":[12],"random":[13],"variables":[14],"with":[15,83],"Pr":[16],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\\{X_i":[19],"=":[20,23],"1":[21],"\\}":[22],"p</tex>":[24],".":[25,58],"Consider":[26],"the":[27,80],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">m</tex>":[30],"-hypothesis":[31],"test":[32],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">H_1":[35],":":[36,41],"p":[37,44,55],"&lt;":[38,43,45,54,56],"p_1,":[39],"H_2":[40],"p_1":[42],"p_":[46],"2,":[47],"versus":[49],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">H_m:":[52],"p_{m-1}":[53],"p_m</tex>":[57],"It":[59],"is":[60],"shown":[61],"that,":[62],"for":[63],"time-varying":[65],"finite":[66],"memory,":[67],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">m":[70],"+":[71],"1</tex>":[72],"states":[73],"are":[74],"necessary":[75],"and":[76],"sufficient":[77],"to":[78],"resolve":[79],"correct":[81],"hypothesis":[82],"zero-limiting":[85],"probability":[86],"error.":[88]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}