{"id":"https://openalex.org/W3004435768","doi":"https://doi.org/10.1109/tsp.2020.3019110","title":"Robust Semiparametric Efficient Estimators in Complex Elliptically Symmetric Distributions","display_name":"Robust Semiparametric Efficient Estimators in Complex Elliptically Symmetric Distributions","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3004435768","doi":"https://doi.org/10.1109/tsp.2020.3019110","mag":"3004435768"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2020.3019110","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2020.3019110","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2002.02239","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023036636","display_name":"Stefano Fortunati","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Stefano Fortunati","raw_affiliation_strings":["CNRS, CentraleSupel\u00e9c, Laboratoire des signaux et syst\u00e8mes, Universite Paris-Saclay, Gif-sur-Yvette, France","L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)"],"raw_orcid":"https://orcid.org/0000-0003-0273-4510","affiliations":[{"raw_affiliation_string":"CNRS, CentraleSupel\u00e9c, Laboratoire des signaux et syst\u00e8mes, Universite Paris-Saclay, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210107720"]},{"raw_affiliation_string":"L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I4210097418"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044736586","display_name":"Alexandre Renaux","orcid":"https://orcid.org/0000-0003-3413-1765"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alexandre Renaux","raw_affiliation_strings":["CNRS, CentraleSupel\u00e9c, Laboratoire des signaux et syst\u00e8mes, Universite Paris-Saclay, Gif-sur-Yvette, France","L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, CentraleSupel\u00e9c, Laboratoire des signaux et syst\u00e8mes, Universite Paris-Saclay, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210107720"]},{"raw_affiliation_string":"L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I4210097418"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089919393","display_name":"Fr\u00e9d\u00e9ric Pascal","orcid":"https://orcid.org/0000-0003-0196-6395"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Frederic Pascal","raw_affiliation_strings":["CNRS, CentraleSupel\u00e9c, Laboratoire des signaux et syst\u00e8mes, Universite Paris-Saclay, Gif-sur-Yvette, France","L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)"],"raw_orcid":"https://orcid.org/0000-0003-0196-6395","affiliations":[{"raw_affiliation_string":"CNRS, CentraleSupel\u00e9c, Laboratoire des signaux et syst\u00e8mes, Universite Paris-Saclay, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210107720"]},{"raw_affiliation_string":"L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I4210097418"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7986,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.85941408,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"68","issue":null,"first_page":"5003","last_page":"5015"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9988999962806702,"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9988999962806702,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9919999837875366,"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":0.9761000275611877,"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/estimator","display_name":"Estimator","score":0.7926152944564819},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.649658739566803},{"id":"https://openalex.org/keywords/outlier","display_name":"Outlier","score":0.6274747252464294},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.5650990605354309},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.558144748210907},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5116403698921204},{"id":"https://openalex.org/keywords/elliptical-distribution","display_name":"Elliptical distribution","score":0.5018014907836914},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.4816652536392212},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39769259095191956},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3808066248893738},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21196794509887695},{"id":"https://openalex.org/keywords/multivariate-normal-distribution","display_name":"Multivariate normal distribution","score":0.1160811185836792},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.08505189418792725}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7926152944564819},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.649658739566803},{"id":"https://openalex.org/C79337645","wikidata":"https://www.wikidata.org/wiki/Q779824","display_name":"Outlier","level":2,"score":0.6274747252464294},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.5650990605354309},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.558144748210907},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5116403698921204},{"id":"https://openalex.org/C130545031","wikidata":"https://www.wikidata.org/wiki/Q5365806","display_name":"Elliptical distribution","level":4,"score":0.5018014907836914},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.4816652536392212},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39769259095191956},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3808066248893738},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21196794509887695},{"id":"https://openalex.org/C177384507","wikidata":"https://www.wikidata.org/wiki/Q1149000","display_name":"Multivariate normal distribution","level":3,"score":0.1160811185836792},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.08505189418792725},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tsp.2020.3019110","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2020.3019110","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"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 Signal Processing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2002.02239","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2002.02239","pdf_url":"https://arxiv.org/pdf/2002.02239","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":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-02976900v1","is_oa":true,"landing_page_url":"https://hal.science/hal-02976900","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Signal Processing, 2020, 68, pp.5003-5015. ⟨10.1109/TSP.2020.3019110⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2002.02239","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2002.02239","pdf_url":"https://arxiv.org/pdf/2002.02239","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5027824404","display_name":"Modern Adaptive Radar: Great Advances in Robust and Inference Techniques and Application","funder_award_id":"ANR-17-ASTR-0015","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":63,"referenced_works":["https://openalex.org/W25259522","https://openalex.org/W1460189015","https://openalex.org/W1491109205","https://openalex.org/W1572403558","https://openalex.org/W1578700070","https://openalex.org/W1963509555","https://openalex.org/W1963874316","https://openalex.org/W1967387482","https://openalex.org/W1968593861","https://openalex.org/W1968698987","https://openalex.org/W1972553384","https://openalex.org/W1984614739","https://openalex.org/W1991567646","https://openalex.org/W1992511687","https://openalex.org/W1996309066","https://openalex.org/W1998416944","https://openalex.org/W1999538654","https://openalex.org/W2008418230","https://openalex.org/W2015374677","https://openalex.org/W2016130389","https://openalex.org/W2029643397","https://openalex.org/W2031398712","https://openalex.org/W2064191652","https://openalex.org/W2082446279","https://openalex.org/W2082542187","https://openalex.org/W2082906466","https://openalex.org/W2103286460","https://openalex.org/W2120953602","https://openalex.org/W2122861691","https://openalex.org/W2128203095","https://openalex.org/W2129187399","https://openalex.org/W2142582388","https://openalex.org/W2154865683","https://openalex.org/W2161503240","https://openalex.org/W2163678127","https://openalex.org/W2167430018","https://openalex.org/W2183213045","https://openalex.org/W2759547991","https://openalex.org/W2765358207","https://openalex.org/W2790491621","https://openalex.org/W2795663299","https://openalex.org/W2796930163","https://openalex.org/W2809185615","https://openalex.org/W2884244916","https://openalex.org/W2889696859","https://openalex.org/W2963885613","https://openalex.org/W2977943766","https://openalex.org/W3021167987","https://openalex.org/W3093964180","https://openalex.org/W3094722809","https://openalex.org/W3098929426","https://openalex.org/W3100410537","https://openalex.org/W3100788021","https://openalex.org/W4211079158","https://openalex.org/W4241319329","https://openalex.org/W4254139551","https://openalex.org/W4285719527","https://openalex.org/W4297913868","https://openalex.org/W4300246981","https://openalex.org/W4302561155","https://openalex.org/W6773946965","https://openalex.org/W6776218955","https://openalex.org/W6784698176"],"related_works":["https://openalex.org/W4210897550","https://openalex.org/W2886934452","https://openalex.org/W1489099099","https://openalex.org/W2415965224","https://openalex.org/W2024369332","https://openalex.org/W4298839086","https://openalex.org/W2953045816","https://openalex.org/W1964410470","https://openalex.org/W3208495656","https://openalex.org/W2950524002"],"abstract_inverted_index":{"Covariance":[0],"matrices":[1],"play":[2],"a":[3,36,165],"major":[4],"role":[5],"in":[6,24,164],"statistics,":[7],"signal":[8],"processing":[9],"and":[10,51,92,107,123,158],"machine":[11],"learning":[12],"applications.":[13],"This":[14],"paper":[15],"focuses":[16],"on":[17],"the":[18,40,48,53,58,79,86,115,124,133,137],"semi-parametric":[19],"covariance/scatter":[20,55],"matrix":[21],"estimation":[22,156],"problem":[23],"elliptical":[25,30,111],"distributions.":[26],"The":[27,66],"class":[28],"of":[29,43,69,78,90,119,139],"distributions":[31],"can":[32],"be":[33],"seen":[34],"as":[35],"semiparametric":[37],"model":[38],"where":[39],"finite-dimensional":[41,80],"vector":[42,50,82],"interest":[44],"is":[45,72,149],"given":[46],"by":[47,52,104,113],"location":[49],"(vectorized)":[54],"matrix,":[56],"while":[57],"density":[59],"generator":[60],"represents":[61],"an":[62],"infinite-dimensional":[63],"nuisance":[64],"function.":[65],"main":[67],"aim":[68],"this":[70,128],"work":[71],"then":[73,143],"to":[74,84,146,160],"provide":[75],"possible":[76],"estimators":[77,122],"parameter":[81],"able":[83],"reconcile":[85],"two":[87],"dichotomic":[88],"concepts":[89],"robustness":[91,159],"(semiparametric)":[93],"efficiency.":[94],"An":[95],"R-estimator":[96],"satisfying":[97],"these":[98],"requirements":[99],"has":[100],"been":[101],"recently":[102],"proposed":[103],"Hallin,":[105],"Oja":[106],"Paindaveine":[108],"for":[109],"real-valued":[110,141],"data":[112,148],"exploiting":[114],"Le":[116],"Cam's":[117],"theory":[118],"one-step":[120],"efficient":[121],"rank-based":[125],"statistics.":[126],"In":[127],"paper,":[129],"we":[130],"firstly":[131],"recall":[132],"building":[134],"blocks":[135],"underlying":[136],"derivation":[138],"such":[140],"R-estimator,":[142],"its":[144,155],"extension":[145],"complex-valued":[147],"proposed.":[150],"Moreover,":[151],"through":[152],"numerical":[153],"simulations,":[154],"performance":[157],"outliers":[161],"are":[162],"investigated":[163],"finite-sample":[166],"regime.":[167]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2020-02-14T00:00:00"}