{"id":"https://openalex.org/W2106807552","doi":"https://doi.org/10.1109/icumt.2009.5345347","title":"Finite dimensional statistical inference","display_name":"Finite dimensional statistical inference","publication_year":2009,"publication_date":"2009-10-01","ids":{"openalex":"https://openalex.org/W2106807552","doi":"https://doi.org/10.1109/icumt.2009.5345347","mag":"2106807552"},"language":"en","primary_location":{"id":"doi:10.1109/icumt.2009.5345347","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icumt.2009.5345347","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 International Conference on Ultra Modern Telecommunications &amp; Workshops","raw_type":"proceedings-article"},"type":"preprint","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/A5057232647","display_name":"Antonia Maria Masucci","orcid":null},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Antonia Masucci","raw_affiliation_strings":["Sup\u00e9lec, Gif-sur-Yvette, France","Sup\u00e9lec Sciences des Syst\u00e8mes"],"affiliations":[{"raw_affiliation_string":"Sup\u00e9lec, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I102475099"]},{"raw_affiliation_string":"Sup\u00e9lec Sciences des Syst\u00e8mes","institution_ids":["https://openalex.org/I102475099"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006855775","display_name":"\u00d8yvind Ryan","orcid":"https://orcid.org/0000-0003-3135-9916"},"institutions":[{"id":"https://openalex.org/I4210088595","display_name":"Technology Applications (United States)","ror":"https://ror.org/009r6as98","country_code":"US","type":"company","lineage":["https://openalex.org/I4210088595"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Oyvind Ryan","raw_affiliation_strings":["Center of Mathematics for Applications [Oslo]"],"affiliations":[{"raw_affiliation_string":"Center of Mathematics for Applications [Oslo]","institution_ids":["https://openalex.org/I4210088595"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087891218","display_name":"Sheng Yang","orcid":"https://orcid.org/0000-0002-0643-0445"},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Sheng Yang","raw_affiliation_strings":["Sup\u00e9lec, Gif-sur-Yvette, France","Sup\u00e9lec Sciences des Syst\u00e8mes"],"affiliations":[{"raw_affiliation_string":"Sup\u00e9lec, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I102475099"]},{"raw_affiliation_string":"Sup\u00e9lec Sciences des Syst\u00e8mes","institution_ids":["https://openalex.org/I102475099"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056145687","display_name":"M\u00e9rouane Debbah","orcid":"https://orcid.org/0000-0001-8941-8080"},"institutions":[{"id":"https://openalex.org/I1322087612","display_name":"Alcatel Lucent (Germany)","ror":"https://ror.org/00c5mwp75","country_code":"DE","type":"company","lineage":["https://openalex.org/I1322087612"]},{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]}],"countries":["DE","FR"],"is_corresponding":false,"raw_author_name":"Merouane Debbah","raw_affiliation_strings":["Sup\u00e9lec, Gif-sur-Yvette, France","Chaire Radio Flexible Alcatel-Lucent/Sup\u00e9lec"],"affiliations":[{"raw_affiliation_string":"Sup\u00e9lec, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I102475099"]},{"raw_affiliation_string":"Chaire Radio Flexible Alcatel-Lucent/Sup\u00e9lec","institution_ids":["https://openalex.org/I102475099","https://openalex.org/I1322087612"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5057232647"],"corresponding_institution_ids":["https://openalex.org/I102475099"],"apc_list":null,"apc_paid":null,"fwci":0.5862,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.71910112,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9997000098228455,"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/T11716","display_name":"Random Matrices and Applications","score":0.9997000098228455,"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":0.9983000159263611,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/wishart-distribution","display_name":"Wishart distribution","score":0.9508305788040161},{"id":"https://openalex.org/keywords/statistical-inference","display_name":"Statistical inference","score":0.6881343126296997},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.6133595705032349},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5902340412139893},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5714408159255981},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5567596554756165},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5398603677749634},{"id":"https://openalex.org/keywords/deconvolution","display_name":"Deconvolution","score":0.4991569519042969},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.472545862197876},{"id":"https://openalex.org/keywords/free-probability","display_name":"Free probability","score":0.4724859595298767},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.4628523886203766},{"id":"https://openalex.org/keywords/inverse-wishart-distribution","display_name":"Inverse-Wishart distribution","score":0.45133620500564575},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.4166047275066376},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.36649298667907715},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3612545132637024},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35637426376342773},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1892355978488922},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.18753212690353394},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17524811625480652},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16060861945152283},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.09043082594871521}],"concepts":[{"id":"https://openalex.org/C33962027","wikidata":"https://www.wikidata.org/wiki/Q1930697","display_name":"Wishart distribution","level":3,"score":0.9508305788040161},{"id":"https://openalex.org/C134261354","wikidata":"https://www.wikidata.org/wiki/Q938438","display_name":"Statistical inference","level":2,"score":0.6881343126296997},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.6133595705032349},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5902340412139893},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5714408159255981},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5567596554756165},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5398603677749634},{"id":"https://openalex.org/C174576160","wikidata":"https://www.wikidata.org/wiki/Q1183700","display_name":"Deconvolution","level":2,"score":0.4991569519042969},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.472545862197876},{"id":"https://openalex.org/C70120467","wikidata":"https://www.wikidata.org/wiki/Q515893","display_name":"Free probability","level":2,"score":0.4724859595298767},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4628523886203766},{"id":"https://openalex.org/C40851411","wikidata":"https://www.wikidata.org/wiki/Q3258368","display_name":"Inverse-Wishart distribution","level":4,"score":0.45133620500564575},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.4166047275066376},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.36649298667907715},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3612545132637024},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35637426376342773},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1892355978488922},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.18753212690353394},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17524811625480652},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16060861945152283},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.09043082594871521},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"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":2,"locations":[{"id":"doi:10.1109/icumt.2009.5345347","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icumt.2009.5345347","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 International Conference on Ultra Modern Telecommunications &amp; Workshops","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-00426658v1","is_oa":false,"landing_page_url":"https://centralesupelec.hal.science/hal-00426658","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2009 International Conference on Ultra Modern Telecommunications & Workshops, Oct 2009, St Petersburg, Russia. pp.1 - 6, &#x27E8;10.1109/ICUMT.2009.5345347&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320308943","display_name":"Microsoft Research","ror":"https://ror.org/00d0nc645"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W635389166","https://openalex.org/W1506954757","https://openalex.org/W1572777589","https://openalex.org/W1586554030","https://openalex.org/W1810267323","https://openalex.org/W1963596092","https://openalex.org/W1971210014","https://openalex.org/W1971565000","https://openalex.org/W1985398873","https://openalex.org/W1995946241","https://openalex.org/W2009179566","https://openalex.org/W2022432807","https://openalex.org/W2036707841","https://openalex.org/W2051302879","https://openalex.org/W2072184935","https://openalex.org/W2075136665","https://openalex.org/W2101513535","https://openalex.org/W2105413182","https://openalex.org/W2130509920","https://openalex.org/W2135355720","https://openalex.org/W2148664799","https://openalex.org/W2148778522","https://openalex.org/W2150976716","https://openalex.org/W2162531195","https://openalex.org/W2169561902","https://openalex.org/W2326812357","https://openalex.org/W2543997214","https://openalex.org/W2952052090","https://openalex.org/W2963616338","https://openalex.org/W2995459195","https://openalex.org/W3100693461","https://openalex.org/W4300285066","https://openalex.org/W4320830122"],"related_works":["https://openalex.org/W2389605595","https://openalex.org/W2072145805","https://openalex.org/W2385446126","https://openalex.org/W3145918735","https://openalex.org/W2093973660","https://openalex.org/W1971850883","https://openalex.org/W1586339758","https://openalex.org/W3119492335","https://openalex.org/W2131668296","https://openalex.org/W3184522547"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"derive":[4],"the":[5,10,17,39,54,57,71,81],"explicit":[6],"series":[7],"expansion":[8],"of":[9,13,19,56],"eigenvalue":[11],"distribution":[12],"various":[14],"models,":[15],"namely":[16],"case":[18,74],"non-central":[20],"Wishart":[21,31],"distributions":[22],"as":[23,25,64],"well":[24],"one":[26],"sided":[27],"correlated":[28],"zero":[29],"mean":[30],"distributions.":[32],"The":[33],"tools":[34],"used":[35],"are":[36],"borrowed":[37],"from":[38],"free":[40,65],"probability":[41],"framework":[42],"which":[43],"have":[44],"been":[45],"quite":[46],"successful":[47],"for":[48],"high":[49],"dimensional":[50],"statistical":[51],"inference":[52],"(when":[53],"size":[55],"matrices":[58],"tends":[59],"to":[60,79],"infinity),":[61],"also":[62],"known":[63],"deconvolution.":[66],"This":[67],"contribution":[68],"focuses":[69],"on":[70],"finite":[72],"Gaussian":[73],"and":[75],"proposes":[76],"algorithmic":[77],"methods":[78],"compute":[80],"moments.":[82]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
