The affine equivariant sign covariance matrix: asymptotic behavior and efficiencies

Name: Work Video:
Duration: 3 min 30 s
Esa Ollila; Hannu Oja; Christophe Croux
{'id': 'https://openalex.org/W2001295697', 'doi': 'https://doi.org/10.1016/s0047-259x(03)00045-9', 'title': 'The affine equivariant sign covariance matrix: asymptotic behavior and efficiencies', 'display_name': 'The affine equivariant sign covariance matrix: asymptotic behavior and efficiencies', 'publication_year': 2003, 'publication_date': '2003-05-19', 'ids': {'openalex': 'https://openalex.org/W2001295697', 'doi': 'https://doi.org/10.1016/s0047-259x(03)00045-9', 'mag': '2001295697'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1016/s0047-259x(03)00045-9', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S133905466', 'display_name': 'Journal of Multivariate Analysis', 'issn_l': '0047-259X', 'issn': ['0047-259X', '1095-7243'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'bronze', 'oa_url': 'https://doi.org/10.1016/s0047-259x(03)00045-9', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5031785324', 'display_name': 'Esa Ollila', 'orcid': 'https://orcid.org/0000-0002-0898-5313'}, 'institutions': [], 'countries': ['FI'], 'is_corresponding': False, 'raw_author_name': 'Esa Ollila', 'raw_affiliation_strings': ['Signal Processing Laboratory, Helsinki University of Technology, P.O. Box 3000, Espoo FIN-02015, Finland#TAB#'], 'affiliations': [{'raw_affiliation_string': 'Signal Processing Laboratory, Helsinki University of Technology, P.O. Box 3000, Espoo FIN-02015, Finland#TAB#', 'institution_ids': []}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5020994740', 'display_name': 'Hannu Oja', 'orcid': 'https://orcid.org/0000-0002-4945-5976'}, 'institutions': [{'id': 'https://openalex.org/I94722563', 'display_name': 'University of Jyväskylä', 'ror': 'https://ror.org/05n3dz165', 'country_code': 'FI', 'type': 'education', 'lineage': ['https://openalex.org/I94722563']}], 'countries': ['FI'], 'is_corresponding': False, 'raw_author_name': 'Hannu Oja', 'raw_affiliation_strings': ['University of Jyväskylä Jyväskylä Finland'], 'affiliations': [{'raw_affiliation_string': 'University of Jyväskylä Jyväskylä Finland', 'institution_ids': ['https://openalex.org/I94722563']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5025083815', 'display_name': 'Christophe Croux', 'orcid': 'https://orcid.org/0000-0003-2912-3437'}, 'institutions': [{'id': 'https://openalex.org/I99464096', 'display_name': 'KU Leuven', 'ror': 'https://ror.org/05f950310', 'country_code': 'BE', 'type': 'education', 'lineage': ['https://openalex.org/I99464096']}], 'countries': ['BE'], 'is_corresponding': False, 'raw_author_name': 'Christophe Croux', 'raw_affiliation_strings': ['University of Leuven, LEUVEN, Belgium'], 'affiliations': [{'raw_affiliation_string': 'University of Leuven, LEUVEN, Belgium', 'institution_ids': ['https://openalex.org/I99464096']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 3060, 'currency': 'USD', 'value_usd': 3060, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 3.258, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 50, 'citation_normalized_percentile': {'value': 0.852189, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 92, 'max': 93}, 'biblio': {'volume': '87', 'issue': '2', 'first_page': '328', 'last_page': '355'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11871', 'display_name': 'Advanced Statistical Methods and Models', 'score': 0.9993, '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': 0.9993, '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': 0.9912, '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/T13141', 'display_name': 'Statistical Methods and Applications', 'score': 0.951, '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/scatter-matrix', 'display_name': 'Scatter matrix', 'score': 0.62811804}, {'id': 'https://openalex.org/keywords/matrix-t-distribution', 'display_name': 'Matrix t-distribution', 'score': 0.57989}, {'id': 'https://openalex.org/keywords/equivariant-map', 'display_name': 'Equivariant map', 'score': 0.52262}, {'id': 'https://openalex.org/keywords/elliptical-distribution', 'display_name': 'Elliptical distribution', 'score': 0.4746364}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.90039945}, {'id': 'https://openalex.org/C180877172', 'wikidata': 'https://www.wikidata.org/wiki/Q5401390', 'display_name': 'Estimation of covariance matrices', 'level': 3, 'score': 0.7051214}, {'id': 'https://openalex.org/C185142706', 'wikidata': 'https://www.wikidata.org/wiki/Q1134404', 'display_name': 'Covariance matrix', 'level': 2, 'score': 0.6543598}, {'id': 'https://openalex.org/C176917957', 'wikidata': 'https://www.wikidata.org/wiki/Q7430596', 'display_name': 'Scatter matrix', 'level': 4, 'score': 0.62811804}, {'id': 'https://openalex.org/C158693339', 'wikidata': 'https://www.wikidata.org/wiki/Q190524', 'display_name': 'Eigenvalues and eigenvectors', 'level': 2, 'score': 0.6067872}, {'id': 'https://openalex.org/C177384507', 'wikidata': 'https://www.wikidata.org/wiki/Q1149000', 'display_name': 'Multivariate normal distribution', 'level': 3, 'score': 0.60434145}, {'id': 'https://openalex.org/C43514536', 'wikidata': 'https://www.wikidata.org/wiki/Q17098779', 'display_name': 'Matrix t-distribution', 'level': 4, 'score': 0.57989}, {'id': 'https://openalex.org/C178650346', 'wikidata': 'https://www.wikidata.org/wiki/Q201984', 'display_name': 'Covariance', 'level': 2, 'score': 0.57063746}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.5374179}, {'id': 'https://openalex.org/C171036898', 'wikidata': 'https://www.wikidata.org/wiki/Q256355', 'display_name': 'Equivariant map', 'level': 2, 'score': 0.52262}, {'id': 'https://openalex.org/C65778772', 'wikidata': 'https://www.wikidata.org/wiki/Q12345341', 'display_name': 'Asymptotic distribution', 'level': 3, 'score': 0.516027}, {'id': 'https://openalex.org/C148893098', 'wikidata': 'https://www.wikidata.org/wiki/Q7295778', 'display_name': 'Rational quadratic covariance function', 'level': 5, 'score': 0.5127133}, {'id': 'https://openalex.org/C92757383', 'wikidata': 'https://www.wikidata.org/wiki/Q382497', 'display_name': 'Affine transformation', 'level': 2, 'score': 0.49361145}, {'id': 'https://openalex.org/C130545031', 'wikidata': 'https://www.wikidata.org/wiki/Q5365806', 'display_name': 'Elliptical distribution', 'level': 4, 'score': 0.4746364}, {'id': 'https://openalex.org/C126372606', 'wikidata': 'https://www.wikidata.org/wiki/Q6503511', 'display_name': 'Law of total covariance', 'level': 5, 'score': 0.45542023}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.4405285}, {'id': 'https://openalex.org/C137250428', 'wikidata': 'https://www.wikidata.org/wiki/Q5178897', 'display_name': 'Covariance function', 'level': 3, 'score': 0.41677535}, {'id': 'https://openalex.org/C161584116', 'wikidata': 'https://www.wikidata.org/wiki/Q1952580', 'display_name': 'Multivariate statistics', 'level': 2, 'score': 0.30327922}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.20440623}, {'id': 'https://openalex.org/C83042196', 'wikidata': 'https://www.wikidata.org/wiki/Q5178898', 'display_name': 'Covariance intersection', 'level': 4, 'score': 0.15358204}, {'id': 'https://openalex.org/C185429906', 'wikidata': 'https://www.wikidata.org/wiki/Q1130160', 'display_name': 'Estimator', 'level': 2, 'score': 0.10317537}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, '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': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1016/s0047-259x(03)00045-9', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S133905466', 'display_name': 'Journal of Multivariate Analysis', 'issn_l': '0047-259X', 'issn': ['0047-259X', '1095-7243'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': True, 'landing_page_url': 'https://lirias.kuleuven.be/handle/123456789/101238', 'pdf_url': 'https://lirias.kuleuven.be/bitstream/123456789/101238/1/scm.pdf', 'source': {'id': 'https://openalex.org/S4306401954', 'display_name': 'Lirias (KU Leuven)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I99464096', 'host_organization_name': 'KU Leuven', 'host_organization_lineage': ['https://openalex.org/I99464096'], 'host_organization_lineage_names': ['KU Leuven'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'acceptedVersion', 'is_accepted': True, 'is_published': False}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1016/s0047-259x(03)00045-9', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S133905466', 'display_name': 'Journal of Multivariate Analysis', 'issn_l': '0047-259X', 'issn': ['0047-259X', '1095-7243'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 33, 'referenced_works': ['https://openalex.org/W1716364890', 'https://openalex.org/W1740754459', 'https://openalex.org/W1968088661', 'https://openalex.org/W1978042554', 'https://openalex.org/W1981469185', 'https://openalex.org/W1989847992', 'https://openalex.org/W2005363197', 'https://openalex.org/W2006022387', 'https://openalex.org/W2006879073', 'https://openalex.org/W2010849103', 'https://openalex.org/W2010951077', 'https://openalex.org/W2012712694', 'https://openalex.org/W2036843111', 'https://openalex.org/W2052740976', 'https://openalex.org/W2055894834', 'https://openalex.org/W2063698478', 'https://openalex.org/W2091507279', 'https://openalex.org/W2111131733', 'https://openalex.org/W2129249398', 'https://openalex.org/W2146225536', 'https://openalex.org/W2161686623', 'https://openalex.org/W2475153272', 'https://openalex.org/W2480243050', 'https://openalex.org/W2498631646', 'https://openalex.org/W2524909368', 'https://openalex.org/W2795431618', 'https://openalex.org/W2797333853', 'https://openalex.org/W2797638056', 'https://openalex.org/W3200009295', 'https://openalex.org/W4230727635', 'https://openalex.org/W4252331841', 'https://openalex.org/W4300905261', 'https://openalex.org/W4302078450'], 'related_works': ['https://openalex.org/W4299315921', 'https://openalex.org/W341081156', 'https://openalex.org/W3208495656', 'https://openalex.org/W2964111541', 'https://openalex.org/W2955292144', 'https://openalex.org/W2887132723', 'https://openalex.org/W2272717746', 'https://openalex.org/W2060816402', 'https://openalex.org/W2001295697', 'https://openalex.org/W1968000959'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2001295697', 'counts_by_year': [{'year': 2024, 'cited_by_count': 1}, {'year': 2023, 'cited_by_count': 1}, {'year': 2022, 'cited_by_count': 1}, {'year': 2020, 'cited_by_count': 3}, {'year': 2018, 'cited_by_count': 17}, {'year': 2017, 'cited_by_count': 1}, {'year': 2016, 'cited_by_count': 3}, {'year': 2015, 'cited_by_count': 3}, {'year': 2014, 'cited_by_count': 2}], 'updated_date': '2024-12-09T14:49:08.231248', 'created_date': '2016-06-24'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
