{"id":"https://openalex.org/W2562700675","doi":"https://doi.org/10.1109/tsp.2016.2645538","title":"On Lower Bounds for Nonstandard Deterministic Estimation","display_name":"On Lower Bounds for Nonstandard Deterministic Estimation","publication_year":2016,"publication_date":"2016-12-28","ids":{"openalex":"https://openalex.org/W2562700675","doi":"https://doi.org/10.1109/tsp.2016.2645538","mag":"2562700675"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2016.2645538","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2016.2645538","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":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://oatao.univ-toulouse.fr/17557/1/Kbayer_17557.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086656441","display_name":"Nabil Kbayer","orcid":"https://orcid.org/0000-0002-8344-4867"},"institutions":[{"id":"https://openalex.org/I193033237","display_name":"Institut Sup\u00e9rieur de l'A\u00e9ronautique et de l'Espace (ISAE-SUPAERO)","ror":"https://ror.org/04gyj6s21","country_code":"FR","type":"education","lineage":["https://openalex.org/I193033237"]},{"id":"https://openalex.org/I4210139096","display_name":"National Higher French Institute of Aeronautics and Space","ror":null,"country_code":"FR","type":null,"lineage":["https://openalex.org/I4210139096"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nabil Kbayer","raw_affiliation_strings":["T\u00e9sa/Isae-Supa\u00e9ro, University of Toulouse, Toulouse, France","ISAE-SUPAERO - Institut Sup\u00e9rieur de l'A\u00e9ronautique et de l'Espace (ISAE - 10 av. Edouard Belin - BP 54032 - 31055 TOULOUSE Cedex 4 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"T\u00e9sa/Isae-Supa\u00e9ro, University of Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I4210139096"]},{"raw_affiliation_string":"ISAE-SUPAERO - Institut Sup\u00e9rieur de l'A\u00e9ronautique et de l'Espace (ISAE - 10 av. Edouard Belin - BP 54032 - 31055 TOULOUSE Cedex 4 - France)","institution_ids":["https://openalex.org/I193033237"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019667083","display_name":"J\u00e9r\u00f4me Galy","orcid":null},"institutions":[{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]},{"id":"https://openalex.org/I4210101743","display_name":"Laboratoire d'Informatique, de Robotique et de Micro\u00e9lectronique de Montpellier","ror":"https://ror.org/013yean28","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I151295451","https://openalex.org/I19894307","https://openalex.org/I4210101743","https://openalex.org/I4210159245","https://openalex.org/I4405261681"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jerome Galy","raw_affiliation_strings":["Laboratoire d\u2019Informatique, Universit\u00e9 de Montpellier, Montpellier, France","LIRMM - Laboratoire d'Informatique de Robotique et de Micro\u00e9lectronique de Montpellier (161 rue Ada - 34095 Montpellier - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Informatique, Universit\u00e9 de Montpellier, Montpellier, France","institution_ids":["https://openalex.org/I19894307"]},{"raw_affiliation_string":"LIRMM - Laboratoire d'Informatique de Robotique et de Micro\u00e9lectronique de Montpellier (161 rue Ada - 34095 Montpellier - France)","institution_ids":["https://openalex.org/I4210101743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051195246","display_name":"\u00c9ric Chaumette","orcid":"https://orcid.org/0000-0002-7029-3019"},"institutions":[{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I193033237","display_name":"Institut Sup\u00e9rieur de l'A\u00e9ronautique et de l'Espace (ISAE-SUPAERO)","ror":"https://ror.org/04gyj6s21","country_code":"FR","type":"education","lineage":["https://openalex.org/I193033237"]},{"id":"https://openalex.org/I4210098964","display_name":"Toulouse Mathematics Institute","ror":null,"country_code":"FR","type":null,"lineage":["https://openalex.org/I4210098964"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Eric Chaumette","raw_affiliation_strings":["Le d\u00e9partement Electronique, University of Toulouse, Toulouse, France","ISAE-SUPAERO - Institut Sup\u00e9rieur de l'A\u00e9ronautique et de l'Espace (ISAE - 10 av. Edouard Belin - BP 54032 - 31055 TOULOUSE Cedex 4 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Le d\u00e9partement Electronique, University of Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I17866349","https://openalex.org/I4210098964"]},{"raw_affiliation_string":"ISAE-SUPAERO - Institut Sup\u00e9rieur de l'A\u00e9ronautique et de l'Espace (ISAE - 10 av. Edouard Belin - BP 54032 - 31055 TOULOUSE Cedex 4 - France)","institution_ids":["https://openalex.org/I193033237"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103066847","display_name":"Fran\u00e7ois Vincent","orcid":"https://orcid.org/0000-0002-7774-5428"},"institutions":[{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I193033237","display_name":"Institut Sup\u00e9rieur de l'A\u00e9ronautique et de l'Espace (ISAE-SUPAERO)","ror":"https://ror.org/04gyj6s21","country_code":"FR","type":"education","lineage":["https://openalex.org/I193033237"]},{"id":"https://openalex.org/I4210098964","display_name":"Toulouse Mathematics Institute","ror":null,"country_code":"FR","type":null,"lineage":["https://openalex.org/I4210098964"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Francois Vincent","raw_affiliation_strings":["Le d\u00e9partement Electronique, University of Toulouse, Toulouse, France","ISAE-SUPAERO - Institut Sup\u00e9rieur de l'A\u00e9ronautique et de l'Espace (ISAE - 10 av. Edouard Belin - BP 54032 - 31055 TOULOUSE Cedex 4 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Le d\u00e9partement Electronique, University of Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I17866349","https://openalex.org/I4210098964"]},{"raw_affiliation_string":"ISAE-SUPAERO - Institut Sup\u00e9rieur de l'A\u00e9ronautique et de l'Espace (ISAE - 10 av. Edouard Belin - BP 54032 - 31055 TOULOUSE Cedex 4 - France)","institution_ids":["https://openalex.org/I193033237"]}]},{"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/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alexandre Renaux","raw_affiliation_strings":["Universite Paris-Sud/LSS 3, 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":"Universite Paris-Sud/LSS 3, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I277688954"]},{"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/A5106486124","display_name":"Pascal Larzabal","orcid":null},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"id":"https://openalex.org/I4210136613","display_name":"Laboratoire des syst\u00e8mes et applications des technologies de l'information et de l'\u00e9nergie","ror":"https://ror.org/03vam5b06","country_code":"FR","type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I124158823","https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210134562","https://openalex.org/I4210136613","https://openalex.org/I4210142324","https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pascal Larzabal","raw_affiliation_strings":["Universit\u00e9 Paris-Sud/SATIE, Cachan, France","SATIE - Syst\u00e8mes et Applications des Technologies de l'Information et de l'Energie (61 av du President Wilson 94235 CACHAN Cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Sud/SATIE, Cachan, France","institution_ids":["https://openalex.org/I102197404","https://openalex.org/I4210136613"]},{"raw_affiliation_string":"SATIE - Syst\u00e8mes et Applications des Technologies de l'Information et de l'Energie (61 av du President Wilson 94235 CACHAN Cedex - France)","institution_ids":["https://openalex.org/I4210136613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":10,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.078,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.80628931,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"65","issue":"6","first_page":"1538","last_page":"1553"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10931","display_name":"Direction-of-Arrival Estimation Techniques","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10711","display_name":"Target Tracking and Data Fusion in Sensor Networks","score":0.9980999827384949,"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/mathematics","display_name":"Mathematics","score":0.7454599142074585},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.7050507664680481},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.6282038688659668},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.5958513021469116},{"id":"https://openalex.org/keywords/mean-squared-error","display_name":"Mean squared error","score":0.46803975105285645},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.4626420736312866},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.46103525161743164},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45375606417655945},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4471658170223236},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4424092173576355},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.42757248878479004},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4269797205924988},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3966388404369354},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30272555351257324},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23931360244750977}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7454599142074585},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7050507664680481},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.6282038688659668},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.5958513021469116},{"id":"https://openalex.org/C139945424","wikidata":"https://www.wikidata.org/wiki/Q1940696","display_name":"Mean squared error","level":2,"score":0.46803975105285645},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4626420736312866},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.46103525161743164},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45375606417655945},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4471658170223236},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4424092173576355},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.42757248878479004},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4269797205924988},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3966388404369354},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30272555351257324},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23931360244750977},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tsp.2016.2645538","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2016.2645538","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:oatao.univ-toulouse.fr:17557","is_oa":true,"landing_page_url":null,"pdf_url":"https://oatao.univ-toulouse.fr/17557/1/Kbayer_17557.pdf","source":{"id":"https://openalex.org/S4306401987","display_name":"Open Archive Toulouse Archive Ouverte (University of Toulouse)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I17866349","host_organization_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","host_organization_lineage":["https://openalex.org/I17866349"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-01525498v1","is_oa":true,"landing_page_url":"https://centralesupelec.hal.science/hal-01525498","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, 2017, 65 (6), pp.1538-1553. ⟨10.1109/TSP.2016.2645538⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:oatao.univ-toulouse.fr:17557","is_oa":true,"landing_page_url":null,"pdf_url":"https://oatao.univ-toulouse.fr/17557/1/Kbayer_17557.pdf","source":{"id":"https://openalex.org/S4306401987","display_name":"Open Archive Toulouse Archive Ouverte (University of Toulouse)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I17866349","host_organization_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","host_organization_lineage":["https://openalex.org/I17866349"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.800000011920929,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320321519","display_name":"Centre National d\u2019Etudes Spatiales","ror":"https://ror.org/04h1h0y33"},{"id":"https://openalex.org/F4320322983","display_name":"Direction G\u00e9n\u00e9rale de la Comp\u00e9titivit\u00e9, de l\u2019Industrie et des Services","ror":"https://ror.org/01d2prf79"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2562700675.pdf","grobid_xml":"https://content.openalex.org/works/W2562700675.grobid-xml"},"referenced_works_count":78,"referenced_works":["https://openalex.org/W171918163","https://openalex.org/W653761051","https://openalex.org/W1479979375","https://openalex.org/W1500551892","https://openalex.org/W1514863945","https://openalex.org/W1534416612","https://openalex.org/W1584444527","https://openalex.org/W1965392255","https://openalex.org/W1968200936","https://openalex.org/W1974086818","https://openalex.org/W1976659183","https://openalex.org/W1981286291","https://openalex.org/W2001188690","https://openalex.org/W2017434913","https://openalex.org/W2018637760","https://openalex.org/W2020955597","https://openalex.org/W2023794851","https://openalex.org/W2032691773","https://openalex.org/W2040552823","https://openalex.org/W2040832208","https://openalex.org/W2049633694","https://openalex.org/W2053742104","https://openalex.org/W2071896649","https://openalex.org/W2080172640","https://openalex.org/W2083430920","https://openalex.org/W2090461052","https://openalex.org/W2091242385","https://openalex.org/W2094775216","https://openalex.org/W2100642855","https://openalex.org/W2100841352","https://openalex.org/W2102746688","https://openalex.org/W2107189492","https://openalex.org/W2110395783","https://openalex.org/W2111540686","https://openalex.org/W2116414176","https://openalex.org/W2117853077","https://openalex.org/W2120746275","https://openalex.org/W2122555105","https://openalex.org/W2122759946","https://openalex.org/W2124448837","https://openalex.org/W2126016642","https://openalex.org/W2127766747","https://openalex.org/W2129198018","https://openalex.org/W2131443211","https://openalex.org/W2133301970","https://openalex.org/W2133349285","https://openalex.org/W2138442823","https://openalex.org/W2141784624","https://openalex.org/W2142024259","https://openalex.org/W2147855704","https://openalex.org/W2148486596","https://openalex.org/W2149032657","https://openalex.org/W2149442879","https://openalex.org/W2149885020","https://openalex.org/W2151517138","https://openalex.org/W2151529858","https://openalex.org/W2152516833","https://openalex.org/W2156077606","https://openalex.org/W2167683733","https://openalex.org/W2167933251","https://openalex.org/W2171750915","https://openalex.org/W2172277024","https://openalex.org/W2201039975","https://openalex.org/W2257179440","https://openalex.org/W2296814610","https://openalex.org/W2509017912","https://openalex.org/W2520094886","https://openalex.org/W2565753657","https://openalex.org/W2796947869","https://openalex.org/W2798239553","https://openalex.org/W2905382656","https://openalex.org/W3129711340","https://openalex.org/W3143031901","https://openalex.org/W4246841922","https://openalex.org/W4255783720","https://openalex.org/W6628836592","https://openalex.org/W6685307988","https://openalex.org/W6697660247"],"related_works":["https://openalex.org/W2355760814","https://openalex.org/W2028225975","https://openalex.org/W2373670823","https://openalex.org/W2391213251","https://openalex.org/W2076078510","https://openalex.org/W2365843888","https://openalex.org/W2242259016","https://openalex.org/W2364639542","https://openalex.org/W2103565019","https://openalex.org/W2363158203"],"abstract_inverted_index":{"We":[0,145,166],"consider":[1],"deterministic":[2,17,50,91,118],"parameter":[3],"estimation":[4,190],"and":[5],"the":[6,9,21,35,47,55,61,69,94,107,117,123,152,162,171,175,183,193,207],"situation":[7],"where":[8,77],"probability":[10],"density":[11],"function":[12],"(p.d.f.)":[13],"parameterized":[14],"by":[15,67],"unknown":[16],"parameters":[18],"results":[19],"from":[20,45],"marginalization":[22,39],"of":[23,96,109,154,164,170,174,189],"a":[24,74,85,143,157,180,186,203],"joint":[25],"p.d.f.":[26],"depending":[27],"on":[28,54,151],"random":[29],"variables":[30],"as":[31,141,177,179],"well.":[32],"Unfortunately,":[33],"in":[34,73,122],"general":[36,62,194],"case,":[37],"this":[38],"is":[40,113,197],"mathematically":[41],"intractable,":[42],"which":[43,112],"prevents":[44],"using":[46],"known":[48],"standard":[49,79,149],"lower":[51,160],"bounds":[52],"(LBs)":[53],"mean":[56],"squared":[57],"error":[58],"(MSE).":[59],"Actually":[60],"case":[63],"can":[64,81,130],"be":[65,82,131],"tackled":[66],"embedding":[68],"initial":[70],"observation":[71,211],"space":[72],"hybrid":[75,110],"one":[76,87],"any":[78,148],"LB":[80,115,150],"transformed":[83],"into":[84],"modified":[86,101],"fitted":[88],"to":[89,105],"nonstandard":[90,124,136,158],"estimation,":[92,125],"at":[93,206],"expense":[95],"tightness":[97],"however.":[98],"Furthermore,":[99],"these":[100],"LBs":[102,111],"(MLBs)":[103],"appears":[104],"include":[106],"submatrix":[108],"an":[114,168],"for":[116,185],"parameters.":[119],"Moreover,":[120],"since":[121],"maximum":[126],"likelihood":[127],"estimators":[128],"(MLEs)":[129],"no":[132],"longer":[133],"derived,":[134],"suboptimal":[135],"MLEs":[137,155],"(NSMLEs)":[138],"are":[139],"proposed":[140],"being":[142],"substitute.":[144],"show":[146],"that":[147],"MSE":[153,163],"has":[156],"version":[159],"bounding":[161],"NSMLEs.":[165],"provide":[167],"analysis":[169],"relative":[172],"performance":[173],"NSMLEs,":[176],"well":[178],"comparison":[181],"with":[182,202],"MLBs":[184],"large":[187],"class":[188],"problems.":[191],"Last,":[192],"approach":[195],"introduced":[196],"exemplified,":[198],"among":[199],"other":[200],"things,":[201],"new":[204],"look":[205],"well-known":[208],"Gaussian":[209],"complex":[210],"models.":[212]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}