{"id":"https://openalex.org/W2988903469","doi":"https://doi.org/10.1016/j.csda.2021.107175","title":"Normal variance mixtures: Distribution, density and parameter estimation","display_name":"Normal variance mixtures: Distribution, density and parameter estimation","publication_year":2021,"publication_date":"2021-01-18","ids":{"openalex":"https://openalex.org/W2988903469","doi":"https://doi.org/10.1016/j.csda.2021.107175","mag":"2988903469"},"language":"en","primary_location":{"id":"doi:10.1016/j.csda.2021.107175","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.csda.2021.107175","pdf_url":null,"source":{"id":"https://openalex.org/S132362803","display_name":"Computational Statistics & Data Analysis","issn_l":"0167-9473","issn":["0167-9473","1872-7352"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Statistics & Data Analysis","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1911.03017","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042143935","display_name":"Erik Hintz","orcid":"https://orcid.org/0000-0003-0046-3120"},"institutions":[{"id":"https://openalex.org/I4210156386","display_name":"Actua","ror":"https://ror.org/04pcj0h26","country_code":"CA","type":"nonprofit","lineage":["https://openalex.org/I4210156386"]},{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Erik Hintz","raw_affiliation_strings":["Department of Statistics and Actuarial Science, University of Waterloo, Canada","Dept. of Statistics and Actuarial Science, University of Waterloo, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Actuarial Science, University of Waterloo, Canada","institution_ids":["https://openalex.org/I151746483","https://openalex.org/I4210156386"]},{"raw_affiliation_string":"Dept. of Statistics and Actuarial Science, University of Waterloo, Canada","institution_ids":["https://openalex.org/I151746483","https://openalex.org/I4210156386"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021779067","display_name":"Marius Hofert","orcid":"https://orcid.org/0000-0001-8009-4665"},"institutions":[{"id":"https://openalex.org/I4210156386","display_name":"Actua","ror":"https://ror.org/04pcj0h26","country_code":"CA","type":"nonprofit","lineage":["https://openalex.org/I4210156386"]},{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Marius Hofert","raw_affiliation_strings":["Department of Statistics and Actuarial Science, University of Waterloo, Canada","Dept. of Statistics and Actuarial Science, University of Waterloo, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Actuarial Science, University of Waterloo, Canada","institution_ids":["https://openalex.org/I151746483","https://openalex.org/I4210156386"]},{"raw_affiliation_string":"Dept. of Statistics and Actuarial Science, University of Waterloo, Canada","institution_ids":["https://openalex.org/I151746483","https://openalex.org/I4210156386"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046184976","display_name":"Christiane Lemieux","orcid":"https://orcid.org/0000-0002-6711-602X"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]},{"id":"https://openalex.org/I4210156386","display_name":"Actua","ror":"https://ror.org/04pcj0h26","country_code":"CA","type":"nonprofit","lineage":["https://openalex.org/I4210156386"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Christiane Lemieux","raw_affiliation_strings":["Department of Statistics and Actuarial Science, University of Waterloo, Canada","Dept. of Statistics and Actuarial Science, University of Waterloo, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Statistics and Actuarial Science, University of Waterloo, Canada","institution_ids":["https://openalex.org/I151746483","https://openalex.org/I4210156386"]},{"raw_affiliation_string":"Dept. of Statistics and Actuarial Science, University of Waterloo, Canada","institution_ids":["https://openalex.org/I151746483","https://openalex.org/I4210156386"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5046184976"],"corresponding_institution_ids":["https://openalex.org/I151746483","https://openalex.org/I4210156386"],"apc_list":{"value":3340,"currency":"USD","value_usd":3340},"apc_paid":null,"fwci":0.312,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.47007593,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"157","issue":null,"first_page":"107175","last_page":"107175"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10136","display_name":"Statistical Methods and Inference","score":0.998199999332428,"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.998199999332428,"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/multivariate-normal-distribution","display_name":"Multivariate normal distribution","score":0.6237645745277405},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5690253973007202},{"id":"https://openalex.org/keywords/normal-distribution","display_name":"Normal distribution","score":0.5177461504936218},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49815869331359863},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4899877607822418},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.47264164686203003},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.4406258165836334},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44031038880348206},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.43971115350723267},{"id":"https://openalex.org/keywords/density-estimation","display_name":"Density estimation","score":0.4379289150238037},{"id":"https://openalex.org/keywords/mixture-distribution","display_name":"Mixture distribution","score":0.4339156448841095},{"id":"https://openalex.org/keywords/joint-probability-distribution","display_name":"Joint probability distribution","score":0.4150845408439636},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.362482488155365},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3540995121002197},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.11934652924537659}],"concepts":[{"id":"https://openalex.org/C177384507","wikidata":"https://www.wikidata.org/wiki/Q1149000","display_name":"Multivariate normal distribution","level":3,"score":0.6237645745277405},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5690253973007202},{"id":"https://openalex.org/C102094743","wikidata":"https://www.wikidata.org/wiki/Q133871","display_name":"Normal distribution","level":2,"score":0.5177461504936218},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49815869331359863},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4899877607822418},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.47264164686203003},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.4406258165836334},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44031038880348206},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.43971115350723267},{"id":"https://openalex.org/C189508267","wikidata":"https://www.wikidata.org/wiki/Q17088227","display_name":"Density estimation","level":3,"score":0.4379289150238037},{"id":"https://openalex.org/C56672385","wikidata":"https://www.wikidata.org/wiki/Q17157111","display_name":"Mixture distribution","level":3,"score":0.4339156448841095},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.4150845408439636},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.362482488155365},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3540995121002197},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.11934652924537659},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1016/j.csda.2021.107175","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.csda.2021.107175","pdf_url":null,"source":{"id":"https://openalex.org/S132362803","display_name":"Computational Statistics & Data Analysis","issn_l":"0167-9473","issn":["0167-9473","1872-7352"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Statistics & Data Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1911.03017","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1911.03017","pdf_url":"https://arxiv.org/pdf/1911.03017","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2988903469","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1911.03017","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:RePEc:eee:csdana:v:157:y:2021:i:c:s0167947321000098","is_oa":false,"landing_page_url":"http://www.sciencedirect.com/science/article/pii/S0167947321000098","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":"doi:10.48550/arxiv.1911.03017","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1911.03017","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1911.03017","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1911.03017","pdf_url":"https://arxiv.org/pdf/1911.03017","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.75,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G1597412403","display_name":null,"funder_award_id":"RGPIN-","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G4275893106","display_name":null,"funder_award_id":"238959","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G6221715925","display_name":null,"funder_award_id":"RGPIN","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G7852534476","display_name":null,"funder_award_id":"RGPIN-5010-2015","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2988903469.pdf","grobid_xml":"https://content.openalex.org/works/W2988903469.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W87152119","https://openalex.org/W181000987","https://openalex.org/W1969682141","https://openalex.org/W1975971707","https://openalex.org/W1980609382","https://openalex.org/W1995565517","https://openalex.org/W2004971474","https://openalex.org/W2031141876","https://openalex.org/W2039743397","https://openalex.org/W2061750459","https://openalex.org/W2079516112","https://openalex.org/W2079960029","https://openalex.org/W2093625674","https://openalex.org/W2101589741","https://openalex.org/W2118254160","https://openalex.org/W2152385515","https://openalex.org/W2159152008","https://openalex.org/W6696337692","https://openalex.org/W6750838673","https://openalex.org/W6772000111"],"related_works":["https://openalex.org/W2949326760","https://openalex.org/W3096051697","https://openalex.org/W2104951364","https://openalex.org/W2537323706","https://openalex.org/W2950300886","https://openalex.org/W2804133697","https://openalex.org/W221489430","https://openalex.org/W2318925850","https://openalex.org/W2535933102","https://openalex.org/W1525546070","https://openalex.org/W2898126478","https://openalex.org/W2962901793","https://openalex.org/W3169558986","https://openalex.org/W2149991676","https://openalex.org/W2516692117","https://openalex.org/W1666289730","https://openalex.org/W2292842243","https://openalex.org/W2297071362","https://openalex.org/W2801027322","https://openalex.org/W1507262153"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}