{"id":"https://openalex.org/W2113066105","doi":"https://doi.org/10.1080/03610910802604179","title":"Simple Computation of Maximum Likelihood Estimates in Latent Class Model with Equality and Constant Constraints","display_name":"Simple Computation of Maximum Likelihood Estimates in Latent Class Model with Equality and Constant Constraints","publication_year":2009,"publication_date":"2009-02-05","ids":{"openalex":"https://openalex.org/W2113066105","doi":"https://doi.org/10.1080/03610910802604179","mag":"2113066105"},"language":"en","primary_location":{"id":"doi:10.1080/03610910802604179","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610910802604179","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","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/A5067370572","display_name":"Keiji Takai","orcid":"https://orcid.org/0000-0003-1368-8177"},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"The University of Osaka","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Keiji Takai","raw_affiliation_strings":["Graduate School of Engineering Science, Osaka University","Graduate school of Engineering Science, Osaka University, Osaka, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Engineering Science, Osaka University","institution_ids":["https://openalex.org/I98285908"]},{"raw_affiliation_string":"Graduate school of Engineering Science, Osaka University, Osaka, Japan","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113866984","display_name":"Yutaka Kano","orcid":null},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"The University of Osaka","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yutaka Kano","raw_affiliation_strings":["Graduate School of Engineering Science, Osaka University","Graduate school of Engineering Science, Osaka University, Osaka, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Engineering Science, Osaka University","institution_ids":["https://openalex.org/I98285908"]},{"raw_affiliation_string":"Graduate school of Engineering Science, Osaka University, Osaka, Japan","institution_ids":["https://openalex.org/I98285908"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5067370572"],"corresponding_institution_ids":["https://openalex.org/I98285908"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.14756609,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"38","issue":"3","first_page":"654","last_page":"665"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11447","display_name":"Blind Source Separation Techniques","score":0.9458000063896179,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9458000063896179,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10640","display_name":"Spectroscopy and Chemometric Analyses","score":0.9223999977111816,"subfield":{"id":"https://openalex.org/subfields/1602","display_name":"Analytical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9187999963760376,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.7874401211738586},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.7162153124809265},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7001289129257202},{"id":"https://openalex.org/keywords/latent-class-model","display_name":"Latent class model","score":0.688727080821991},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5882810354232788},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5570710301399231},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5124495625495911},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5098713636398315},{"id":"https://openalex.org/keywords/likelihood-function","display_name":"Likelihood function","score":0.47871947288513184},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.43922159075737},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4197998642921448},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.41552314162254333},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38750675320625305},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3732444643974304},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2553507387638092},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13889601826667786}],"concepts":[{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.7874401211738586},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.7162153124809265},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7001289129257202},{"id":"https://openalex.org/C70727504","wikidata":"https://www.wikidata.org/wiki/Q1806878","display_name":"Latent class model","level":2,"score":0.688727080821991},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5882810354232788},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5570710301399231},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5124495625495911},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5098713636398315},{"id":"https://openalex.org/C89106044","wikidata":"https://www.wikidata.org/wiki/Q45284","display_name":"Likelihood function","level":3,"score":0.47871947288513184},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.43922159075737},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4197998642921448},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.41552314162254333},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38750675320625305},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3732444643974304},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2553507387638092},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13889601826667786},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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:10.1080/03610910802604179","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610910802604179","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","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":22,"referenced_works":["https://openalex.org/W1606675827","https://openalex.org/W1982915659","https://openalex.org/W1985245560","https://openalex.org/W1988083567","https://openalex.org/W2009368860","https://openalex.org/W2042442099","https://openalex.org/W2049633694","https://openalex.org/W2054624705","https://openalex.org/W2105193859","https://openalex.org/W2115881827","https://openalex.org/W2117853077","https://openalex.org/W2163040082","https://openalex.org/W2312466459","https://openalex.org/W2312764678","https://openalex.org/W2316241961","https://openalex.org/W2325337508","https://openalex.org/W2325866568","https://openalex.org/W2334421996","https://openalex.org/W2799202302","https://openalex.org/W3146174752","https://openalex.org/W4241926107","https://openalex.org/W4252576017"],"related_works":["https://openalex.org/W2013921918","https://openalex.org/W2019724159","https://openalex.org/W4255563003","https://openalex.org/W4280508323","https://openalex.org/W2371672232","https://openalex.org/W1591411095","https://openalex.org/W2088686292","https://openalex.org/W2540019423","https://openalex.org/W2103185490","https://openalex.org/W2120595071"],"abstract_inverted_index":{"A":[0,63],"simple":[1,48],"computational":[2,49],"method":[3,50,60,74],"for":[4],"estimation":[5],"of":[6,11,87],"parameters":[7,41],"via":[8],"a":[9,47],"type":[10],"EM":[12,84],"algorithm":[13],"is":[14,55,61,90],"proposed":[15],"in":[16,32,42,68,82],"restricted":[17,43],"latent":[18,44],"class":[19,45],"analysis,":[20,46],"where":[21,57],"equality":[22],"and":[23,38],"constant":[24],"constraints":[25,29],"are":[26],"considered.":[27],"These":[28],"create":[30],"difficulty":[31],"estimation.":[33],"In":[34],"order":[35],"to":[36],"simply":[37],"stably":[39],"estimate":[40],"using":[51],"only":[52],"first-order":[53],"differentials":[54],"proposed,":[56],"the":[58,72,80,83],"step-halving":[59],"adopted.":[62],"simulation":[64],"study":[65],"shows":[66],"that":[67],"almost":[69],"all":[70],"cases":[71],"new":[73],"gives":[75],"parameter":[76],"sequences":[77],"monotonously":[78],"increasing":[79],"Q-function":[81],"algorithm.":[85],"Analysis":[86],"real":[88],"data":[89],"provided.":[91]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-06T06:45:51.903784","created_date":"2025-10-10T00:00:00"}
