{"id":"https://openalex.org/W2098380282","doi":"https://doi.org/10.1109/tit.2011.2112010","title":"Finite Dimensional Statistical Inference","display_name":"Finite Dimensional Statistical Inference","publication_year":2011,"publication_date":"2011-03-15","ids":{"openalex":"https://openalex.org/W2098380282","doi":"https://doi.org/10.1109/tit.2011.2112010","mag":"2098380282"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2011.2112010","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2112010","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0911.5515","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006855775","display_name":"\u00d8yvind Ryan","orcid":"https://orcid.org/0000-0003-3135-9916"},"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"]},{"id":"https://openalex.org/I184942183","display_name":"University of Oslo","ror":"https://ror.org/01xtthb56","country_code":"NO","type":"education","lineage":["https://openalex.org/I184942183"]}],"countries":["FR","NO"],"is_corresponding":false,"raw_author_name":"\u00d8yvind Ryan","raw_affiliation_strings":["Centre of Mathematics for Applications, University of Oslo, Oslo, Norway","SUPELEC, Gif-sur-Yvette, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre of Mathematics for Applications, University of Oslo, Oslo, Norway","institution_ids":["https://openalex.org/I184942183"]},{"raw_affiliation_string":"SUPELEC, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I102475099"]}]},{"author_position":"middle","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":false,"raw_author_name":"Antonia Masucci","raw_affiliation_strings":["SUPELEC, Gif-sur-Yvette, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SUPELEC, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I102475099"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102000358","display_name":"Sheng Yang","orcid":"https://orcid.org/0000-0002-5884-4893"},"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":["SUPELEC, Gif-sur-Yvette, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SUPELEC, Gif-sur-Yvette, France","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/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":"M\u00e9rouane Debbah","raw_affiliation_strings":["SUPELEC, Gif-sur-Yvette, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"SUPELEC, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I102475099"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2977,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.89063218,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"57","issue":"4","first_page":"2457","last_page":"2473"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9980000257492065,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9959999918937683,"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/wishart-distribution","display_name":"Wishart distribution","score":0.9318132400512695},{"id":"https://openalex.org/keywords/statistical-inference","display_name":"Statistical inference","score":0.6822366118431091},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6612864136695862},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.6250043511390686},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.5771079063415527},{"id":"https://openalex.org/keywords/free-probability","display_name":"Free probability","score":0.56684410572052},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5396525859832764},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5328372716903687},{"id":"https://openalex.org/keywords/deconvolution","display_name":"Deconvolution","score":0.5022892951965332},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.4728584289550781},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.43249940872192383},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34228962659835815},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3273610472679138},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.278949499130249},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21918338537216187},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.20381814241409302},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19273439049720764},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13939693570137024},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.08440279960632324}],"concepts":[{"id":"https://openalex.org/C33962027","wikidata":"https://www.wikidata.org/wiki/Q1930697","display_name":"Wishart distribution","level":3,"score":0.9318132400512695},{"id":"https://openalex.org/C134261354","wikidata":"https://www.wikidata.org/wiki/Q938438","display_name":"Statistical inference","level":2,"score":0.6822366118431091},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6612864136695862},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6250043511390686},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5771079063415527},{"id":"https://openalex.org/C70120467","wikidata":"https://www.wikidata.org/wiki/Q515893","display_name":"Free probability","level":2,"score":0.56684410572052},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5396525859832764},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5328372716903687},{"id":"https://openalex.org/C174576160","wikidata":"https://www.wikidata.org/wiki/Q1183700","display_name":"Deconvolution","level":2,"score":0.5022892951965332},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4728584289550781},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.43249940872192383},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34228962659835815},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3273610472679138},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.278949499130249},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21918338537216187},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.20381814241409302},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19273439049720764},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13939693570137024},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.08440279960632324},{"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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tit.2011.2112010","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2112010","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:0911.5515","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0911.5515","pdf_url":"https://arxiv.org/pdf/0911.5515","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.727.4249","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.727.4249","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.laneas.com/sites/default/files/publications/J1103.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.746.9565","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.746.9565","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0911.5515.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00632418v1","is_oa":false,"landing_page_url":"https://centralesupelec.hal.science/hal-00632418","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":"IEEE Transactions on Information Theory, 2011, 57 (4), pp.2457-2473. &#x27E8;10.1109/TIT.2011.2112010&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0911.5515","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0911.5515","pdf_url":"https://arxiv.org/pdf/0911.5515","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2098380282.pdf","grobid_xml":"https://content.openalex.org/works/W2098380282.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W591099569","https://openalex.org/W635389166","https://openalex.org/W1506954757","https://openalex.org/W1527520754","https://openalex.org/W1572777589","https://openalex.org/W1586554030","https://openalex.org/W1595463152","https://openalex.org/W1810267323","https://openalex.org/W1963596092","https://openalex.org/W1971210014","https://openalex.org/W1971565000","https://openalex.org/W1985398873","https://openalex.org/W1987288365","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/W2963616338","https://openalex.org/W2963916292","https://openalex.org/W2995459195","https://openalex.org/W3100693461","https://openalex.org/W4229746864","https://openalex.org/W4300285066","https://openalex.org/W4320830122","https://openalex.org/W6635474012","https://openalex.org/W6637196511","https://openalex.org/W6638558632"],"related_works":["https://openalex.org/W2146312983","https://openalex.org/W2389605595","https://openalex.org/W1586339758","https://openalex.org/W3131856045","https://openalex.org/W2364482911","https://openalex.org/W2078787338","https://openalex.org/W2116891586","https://openalex.org/W2098380282","https://openalex.org/W3184522547","https://openalex.org/W2106807552"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"derive":[4],"the":[5,10,17,37,52,55,69,79],"explicit":[6],"series":[7],"expansion":[8],"of":[9,13,19,36,54],"eigenvalue":[11],"distribution":[12],"various":[14],"models,":[15],"namely":[16],"case":[18,72],"noncentral":[20],"Wishart":[21,29],"distributions,":[22],"as":[23,25,62],"well":[24],"correlated":[26],"zero":[27],"mean":[28],"distributions.":[30],"The":[31],"tools":[32],"used":[33],"extend":[34],"those":[35],"free":[38,63],"probability":[39],"framework,":[40],"which":[41],"have":[42],"been":[43],"quite":[44],"successful":[45],"for":[46],"high":[47],"dimensional":[48],"statistical":[49],"inference":[50],"(when":[51],"size":[53],"matrices":[56],"tends":[57],"to":[58,77,86],"infinity),":[59],"also":[60,89],"known":[61],"deconvolution.":[64],"This":[65],"contribution":[66],"focuses":[67],"on":[68],"finite":[70],"Gaussian":[71],"and":[73],"proposes":[74],"algorithmic":[75],"methods":[76],"compute":[78],"moments.":[80],"Cases":[81],"where":[82],"asymptotic":[83],"results":[84],"fail":[85],"apply":[87],"are":[88],"discussed.":[90]},"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
