{"id":"https://openalex.org/W2078026917","doi":"https://doi.org/10.1007/s00357-008-9008-6","title":"A Simple Identification Proof for a Mixture of Two Univariate Normal Distributions","display_name":"A Simple Identification Proof for a Mixture of Two Univariate Normal Distributions","publication_year":2008,"publication_date":"2008-06-01","ids":{"openalex":"https://openalex.org/W2078026917","doi":"https://doi.org/10.1007/s00357-008-9008-6","mag":"2078026917"},"language":"en","primary_location":{"id":"doi:10.1007/s00357-008-9008-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00357-008-9008-6","pdf_url":null,"source":{"id":"https://openalex.org/S73028643","display_name":"Journal of Classification","issn_l":"0176-4268","issn":["0176-4268","1432-1343"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Classification","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/A5074555535","display_name":"Erik Meijer","orcid":"https://orcid.org/0000-0001-7959-4670"},"institutions":[{"id":"https://openalex.org/I1309849503","display_name":"RAND Corporation","ror":"https://ror.org/00f2z7n96","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I1309849503"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Erik Meijer","raw_affiliation_strings":["RAND Corporation and University of Groningen, Santa Monica, USA","RAND Corporation, 1776 Main St, PO Box 2138, Santa Monica, CA, 90407-2138, USA"],"affiliations":[{"raw_affiliation_string":"RAND Corporation and University of Groningen, Santa Monica, USA","institution_ids":["https://openalex.org/I1309849503"]},{"raw_affiliation_string":"RAND Corporation, 1776 Main St, PO Box 2138, Santa Monica, CA, 90407-2138, USA","institution_ids":["https://openalex.org/I1309849503"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062837474","display_name":"Jelmer Yeb Ypma","orcid":null},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jelmer Y. Ypma","raw_affiliation_strings":["University College London and University of Groningen, Santa Monica, USA"],"affiliations":[{"raw_affiliation_string":"University College London and University of Groningen, Santa Monica, USA","institution_ids":["https://openalex.org/I45129253"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074555535"],"corresponding_institution_ids":["https://openalex.org/I1309849503"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3422,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.70043415,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"25","issue":"1","first_page":"113","last_page":"123"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11443","display_name":"Advanced Statistical Process Monitoring","score":0.9879000186920166,"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"}},"topics":[{"id":"https://openalex.org/T11443","display_name":"Advanced Statistical Process Monitoring","score":0.9879000186920166,"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/T13500","display_name":"Probability and Statistical Research","score":0.9872999787330627,"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/T11236","display_name":"Control Systems and Identification","score":0.982200026512146,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.8067406415939331},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.7590572834014893},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7222615480422974},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.604161262512207},{"id":"https://openalex.org/keywords/positive-definiteness","display_name":"Positive definiteness","score":0.596366822719574},{"id":"https://openalex.org/keywords/identification","display_name":"Identification (biology)","score":0.5008883476257324},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37269583344459534},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3168366551399231},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2152097523212433},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.14865157008171082},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.11945739388465881},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.06313663721084595}],"concepts":[{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.8067406415939331},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.7590572834014893},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7222615480422974},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.604161262512207},{"id":"https://openalex.org/C2778265155","wikidata":"https://www.wikidata.org/wiki/Q7233276","display_name":"Positive definiteness","level":4,"score":0.596366822719574},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.5008883476257324},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37269583344459534},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3168366551399231},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2152097523212433},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.14865157008171082},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.11945739388465881},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.06313663721084595},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00357-008-9008-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00357-008-9008-6","pdf_url":null,"source":{"id":"https://openalex.org/S73028643","display_name":"Journal of Classification","issn_l":"0176-4268","issn":["0176-4268","1432-1343"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Classification","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jclass:v:25:y:2008:i:1:p:113-123","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s00357-008-9008-6","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:18737","is_oa":false,"landing_page_url":"http://discovery.ucl.ac.uk/18737/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"   Journal of Classification , 25  (1)   pp. 113-123.   (2008)      ","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":30,"referenced_works":["https://openalex.org/W1543208566","https://openalex.org/W1579271636","https://openalex.org/W1975460953","https://openalex.org/W1981367467","https://openalex.org/W1991477013","https://openalex.org/W1996091293","https://openalex.org/W2028163216","https://openalex.org/W2037526601","https://openalex.org/W2050784656","https://openalex.org/W2058220245","https://openalex.org/W2068993558","https://openalex.org/W2081661678","https://openalex.org/W2086134176","https://openalex.org/W2090268867","https://openalex.org/W2121407732","https://openalex.org/W2122443071","https://openalex.org/W2166698530","https://openalex.org/W2168069606","https://openalex.org/W2171901061","https://openalex.org/W2427645223","https://openalex.org/W2488678869","https://openalex.org/W2517983048","https://openalex.org/W2797746357","https://openalex.org/W3149693700","https://openalex.org/W4233704721","https://openalex.org/W4249750499","https://openalex.org/W4285719527","https://openalex.org/W4300956553","https://openalex.org/W6678120639","https://openalex.org/W6717790980"],"related_works":["https://openalex.org/W1828158523","https://openalex.org/W2047547195","https://openalex.org/W1973940690","https://openalex.org/W204175656","https://openalex.org/W1993992974","https://openalex.org/W1512294453","https://openalex.org/W2911841387","https://openalex.org/W2803255289","https://openalex.org/W1595588025","https://openalex.org/W2738234280"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
