{"id":"https://openalex.org/W159757120","doi":"https://doi.org/10.1007/978-3-319-00035-0_4","title":"On the Number of Modes of Finite Mixtures of Elliptical Distributions","display_name":"On the Number of Modes of Finite Mixtures of Elliptical Distributions","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W159757120","doi":"https://doi.org/10.1007/978-3-319-00035-0_4","mag":"159757120"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-00035-0_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-00035-0_4","pdf_url":null,"source":{"id":"https://openalex.org/S4210194094","display_name":"Studies in classification, data analysis, and knowledge organization","issn_l":"1431-8814","issn":["1431-8814","2198-3321"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studies in Classification, Data Analysis, and Knowledge Organization","raw_type":"book-chapter"},"type":"book-chapter","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/A5044806094","display_name":"Grigory Alexandrovich","orcid":null},"institutions":[{"id":"https://openalex.org/I161103922","display_name":"Philipps University of Marburg","ror":"https://ror.org/01rdrb571","country_code":"DE","type":"education","lineage":["https://openalex.org/I161103922"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Grigory Alexandrovich","raw_affiliation_strings":["Department of Mathematics and Computer Science, Marburg University, Marburg, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Marburg University, Marburg, Germany","institution_ids":["https://openalex.org/I161103922"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024834862","display_name":"Hajo Holzmann","orcid":"https://orcid.org/0000-0003-4931-0061"},"institutions":[{"id":"https://openalex.org/I161103922","display_name":"Philipps University of Marburg","ror":"https://ror.org/01rdrb571","country_code":"DE","type":"education","lineage":["https://openalex.org/I161103922"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hajo Holzmann","raw_affiliation_strings":["Department of Mathematics and Computer Science, Marburg University, Marburg, Germany","Fachbereich Mathematik und Informatik, Philipps-Universit\u00e4t Marburg, Hans-Meerweinstr., D-35032, Marburg, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Marburg University, Marburg, Germany","institution_ids":["https://openalex.org/I161103922"]},{"raw_affiliation_string":"Fachbereich Mathematik und Informatik, Philipps-Universit\u00e4t Marburg, Hans-Meerweinstr., D-35032, Marburg, Germany","institution_ids":["https://openalex.org/I161103922"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015081295","display_name":"Surajit Ray","orcid":"https://orcid.org/0000-0003-3965-8136"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Surajit Ray","raw_affiliation_strings":["Department of Mathematics and Statistics, Boston University, Boston, MA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Boston University, Boston, MA, USA","institution_ids":["https://openalex.org/I111088046"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5044806094"],"corresponding_institution_ids":["https://openalex.org/I161103922"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.07516028,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"49","last_page":"57"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9998000264167786,"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/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.9764999747276306,"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/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9751999974250793,"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/dimension","display_name":"Dimension (graph theory)","score":0.7153769731521606},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.6548367738723755},{"id":"https://openalex.org/keywords/dispersion","display_name":"Dispersion (optics)","score":0.5949603915214539},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.5525804758071899},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5466700792312622},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.5107743740081787},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.5001111030578613},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.49938297271728516},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.448489248752594},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3996608555316925},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3498409390449524},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2734893262386322},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2161899209022522},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11839714646339417},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11726823449134827}],"concepts":[{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.7153769731521606},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.6548367738723755},{"id":"https://openalex.org/C177562468","wikidata":"https://www.wikidata.org/wiki/Q182893","display_name":"Dispersion (optics)","level":2,"score":0.5949603915214539},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.5525804758071899},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5466700792312622},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.5107743740081787},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.5001111030578613},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.49938297271728516},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.448489248752594},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3996608555316925},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3498409390449524},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2734893262386322},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2161899209022522},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11839714646339417},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11726823449134827},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-319-00035-0_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-00035-0_4","pdf_url":null,"source":{"id":"https://openalex.org/S4210194094","display_name":"Studies in classification, data analysis, and knowledge organization","issn_l":"1431-8814","issn":["1431-8814","2198-3321"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studies in Classification, Data Analysis, and Knowledge Organization","raw_type":"book-chapter"},{"id":"pmh:oai:eprints.gla.ac.uk:94040","is_oa":false,"landing_page_url":"http://eprints.gla.ac.uk/view/author/29278.html>","pdf_url":null,"source":{"id":"https://openalex.org/S4210235606","display_name":"ENLIGHTEN (Jurnal Bimbingan dan Konseling Islam)","issn_l":"2622-8912","issn":["2622-8912","2622-8920"],"is_oa":false,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7200000286102295}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1579271636","https://openalex.org/W1965342088","https://openalex.org/W2038908859","https://openalex.org/W2047174917","https://openalex.org/W2122861691","https://openalex.org/W2160555827","https://openalex.org/W2488678869","https://openalex.org/W4300246981"],"related_works":["https://openalex.org/W1995243476","https://openalex.org/W4300013288","https://openalex.org/W2951020105","https://openalex.org/W2804364458","https://openalex.org/W4298130764","https://openalex.org/W2132641928","https://openalex.org/W2090259340","https://openalex.org/W4310225030","https://openalex.org/W2083665254","https://openalex.org/W2393816671"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
