Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2136644106', 'doi': 'https://doi.org/10.1002/cjs.5550340104', 'title': 'On the bootstrap in cube root asymptotics', 'display_name': 'On the bootstrap in cube root asymptotics', 'publication_year': 2006, 'publication_date': '2006-03-01', 'ids': {'openalex': 'https://openalex.org/W2136644106', 'doi': 'https://doi.org/10.1002/cjs.5550340104', 'mag': '2136644106'}, 'language': 'fr', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1002/cjs.5550340104', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210224318', 'display_name': 'Canadian Journal of Statistics', 'issn_l': '0319-5724', 'issn': ['0319-5724', '1708-945X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320595', 'host_organization_name': 'Wiley', 'host_organization_lineage': ['https://openalex.org/P4310320595'], 'host_organization_lineage_names': ['Wiley'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5040026739', 'display_name': 'Christian Léger', 'orcid': 'https://orcid.org/0000-0003-3359-5285'}, 'institutions': [{'id': 'https://openalex.org/I70931966', 'display_name': 'Université de Montréal', 'ror': 'https://ror.org/0161xgx34', 'country_code': 'CA', 'type': 'education', 'lineage': ['https://openalex.org/I70931966']}], 'countries': ['CA'], 'is_corresponding': False, 'raw_author_name': 'Christian Léger', 'raw_affiliation_strings': ['Département de mathématiques et de statistique Université de Montréal, C. P. 6128, succursale Centre‐ville Montréal (Québec) Canada H3C 3J7'], 'affiliations': [{'raw_affiliation_string': 'Département de mathématiques et de statistique Université de Montréal, C. P. 6128, succursale Centre‐ville Montréal (Québec) Canada H3C 3J7', 'institution_ids': ['https://openalex.org/I70931966']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5050859350', 'display_name': 'Brenda MacGibbon', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I159129438', 'display_name': 'Université du Québec à Montréal', 'ror': 'https://ror.org/002rjbv21', 'country_code': 'CA', 'type': 'education', 'lineage': ['https://openalex.org/I159129438', 'https://openalex.org/I49663120']}], 'countries': ['CA'], 'is_corresponding': False, 'raw_author_name': 'Brenda Macgibbon', 'raw_affiliation_strings': ['Département de mathématiques, Université du Quebec à Montréal C. P. 8888, Succursale centre‐ville, Montréal (Québec), Canada H3C 3P8'], 'affiliations': [{'raw_affiliation_string': 'Département de mathématiques, Université du Quebec à Montréal C. P. 8888, Succursale centre‐ville, Montréal (Québec), Canada H3C 3P8', 'institution_ids': ['https://openalex.org/I159129438']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 2830, 'currency': 'USD', 'value_usd': 2830, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.938, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 23, 'citation_normalized_percentile': {'value': 0.77837, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 88, 'max': 89}, 'biblio': {'volume': '34', 'issue': '1', 'first_page': '29', 'last_page': '44'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11871', 'display_name': 'Advanced Statistical Methods and Models', 'score': 0.9967, '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': 0.9967, '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/T10282', 'display_name': 'Financial Risk and Volatility Modeling', 'score': 0.9934, 'subfield': {'id': 'https://openalex.org/subfields/2003', 'display_name': 'Finance'}, 'field': {'id': 'https://openalex.org/fields/20', 'display_name': 'Economics, Econometrics and Finance'}, 'domain': {'id': 'https://openalex.org/domains/2', 'display_name': 'Social Sciences'}}, {'id': 'https://openalex.org/T10136', 'display_name': 'Statistical Methods and Inference', 'score': 0.9885, '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/root', 'display_name': 'Root (linguistics)', 'score': 0.60519356}, {'id': 'https://openalex.org/keywords/cube-root', 'display_name': 'Cube root', 'score': 0.55247086}, {'id': 'https://openalex.org/keywords/cube', 'display_name': 'Cube (algebra)', 'score': 0.4310324}], 'concepts': [{'id': 'https://openalex.org/C171078966', 'wikidata': 'https://www.wikidata.org/wiki/Q111029', 'display_name': 'Root (linguistics)', 'level': 2, 'score': 0.60519356}, {'id': 'https://openalex.org/C201661490', 'wikidata': 'https://www.wikidata.org/wiki/Q1774143', 'display_name': 'Cube root', 'level': 2, 'score': 0.55247086}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.43630373}, {'id': 'https://openalex.org/C149782125', 'wikidata': 'https://www.wikidata.org/wiki/Q160039', 'display_name': 'Econometrics', 'level': 1, 'score': 0.4354253}, {'id': 'https://openalex.org/C53051483', 'wikidata': 'https://www.wikidata.org/wiki/Q861555', 'display_name': 'Cube (algebra)', 'level': 2, 'score': 0.4310324}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.3914866}, {'id': 'https://openalex.org/C121864883', 'wikidata': 'https://www.wikidata.org/wiki/Q677916', 'display_name': 'Statistical physics', 'level': 1, 'score': 0.35302514}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.17108068}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.16958469}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.1570853}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.14182398}, {'id': 'https://openalex.org/C41895202', 'wikidata': 'https://www.wikidata.org/wiki/Q8162', 'display_name': 'Linguistics', 'level': 1, 'score': 0.056108743}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1002/cjs.5550340104', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210224318', 'display_name': 'Canadian Journal of Statistics', 'issn_l': '0319-5724', 'issn': ['0319-5724', '1708-945X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320595', 'host_organization_name': 'Wiley', 'host_organization_lineage': ['https://openalex.org/P4310320595'], 'host_organization_lineage_names': ['Wiley'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 24, 'referenced_works': ['https://openalex.org/W1966800765', 'https://openalex.org/W1995642533', 'https://openalex.org/W1995945562', 'https://openalex.org/W2007521907', 'https://openalex.org/W2009209064', 'https://openalex.org/W2035142174', 'https://openalex.org/W2043415670', 'https://openalex.org/W2044654734', 'https://openalex.org/W2059259564', 'https://openalex.org/W2064555382', 'https://openalex.org/W2067707835', 'https://openalex.org/W2067848592', 'https://openalex.org/W2069057356', 'https://openalex.org/W2097879961', 'https://openalex.org/W2113575907', 'https://openalex.org/W2136644106', 'https://openalex.org/W2150170096', 'https://openalex.org/W2152701363', 'https://openalex.org/W2327088997', 'https://openalex.org/W2330622735', 'https://openalex.org/W3106889297', 'https://openalex.org/W402368901', 'https://openalex.org/W4230173782', 'https://openalex.org/W4298872162'], 'related_works': ['https://openalex.org/W844236517', 'https://openalex.org/W4248628478', 'https://openalex.org/W4224309456', 'https://openalex.org/W3169616122', 'https://openalex.org/W3137064143', 'https://openalex.org/W3120369575', 'https://openalex.org/W2626542362', 'https://openalex.org/W2361782453', 'https://openalex.org/W2036963646', 'https://openalex.org/W1983726627'], 'abstract_inverted_index': {'The': [0], 'authors': [1], 'study': [2, 29, 35], 'the': [3, 6, 39, 49, 52, 60, 79, 89, 95, 110, 114, 121, 126], 'application': [4], 'of': [5, 11, 41, 48, 91, 109, 135], 'bootstrap': [7, 54, 62, 103, 116, 128, 140, 155, 203, 263, 279], 'to': [8, 19, 28, 102], 'a': [9, 16, 20, 25, 67, 84, 105, 145], 'class': [10], 'estimators': [12], 'which': [13, 76, 113], 'converge': [14], 'at': [15], 'nonstandard': [17, 21], 'rate': [18], 'distribution.': [22], 'They': [23], 'provide': [24], 'theoretical': [26], 'framework': [27], 'its': [30], 'asymptotic': [31, 133], 'behaviour.': [32], 'A': [33, 137], 'simulation': [34, 183], 'shows': [36], 'that': [37], 'in': [38, 83], 'case': [40, 90], 'an': [42, 132], 'estimator': [43, 47, 108], 'such': [44], 'as': [45], "Chernoff's": [46, 92], 'mode,': [50], 'usually': [51], 'basic': [53, 71, 115], 'confidence': [55, 74, 117], 'intervals': [56, 63, 118], 'drastically': [57], 'undercover': [58], 'while': [59, 125], 'percentile': [61, 73, 127, 219, 236, 296], 'overcover.': [64], 'This': [65], 'is': [66, 97, 100], 'rare': [68, 226], 'instance': [69], 'where': [70], 'and': [72], 'intervals,': [75], 'have': [77, 120, 131], 'exactly': [78], 'same': [80], 'length,': [81], 'behave': [82], 'very': [85], 'different': [86], 'way.': [87], 'In': [88], 'estimator,': [93], 'if': [94], 'distribution': [96, 111, 255, 273], 'symmetric,': [98], 'it': [99], 'possible': [101, 260], 'from': [104], 'smooth': [106], 'symmetric': [107], 'for': [112], 'will': [119, 130], 'claimed': [122], 'coverage': [123, 134], 'probability': [124], 'interval': [129], '1!': [136, 299], 'propos': [138], 'du': [139, 154, 191], 'pour': [141, 176], 'des': [142, 215, 243, 277], 'estimateurs': [143], 'convergeant': [144], 'la': [146, 195, 254, 272, 283, 289], 'vitesse': [147, 164], 'racine': [148], 'cubique': [149], 'Les': [150], 'auteurs': [151], 'étudient': [152], "l'application": [153], 'à': [156, 162, 264, 276], 'une': [157, 163, 167], 'classe': [158], "d'estimateurs": [159], 'qui': [160, 274], 'convergent': [161], 'et': [165, 235, 269], 'vers': [166, 298], 'loi': [168], 'non': [169], 'standard.': [170], 'Ils': [171], 'présentent': [172], 'un': [173, 225, 238], 'cadre': [174], 'théorique': [175], "l'étude": [177], 'de': [178, 193, 197, 199, 201, 204, 217, 231, 233, 249, 251, 271, 280, 285, 294], 'son': [179], 'comportement': [180, 239], 'asymptotique.': [181], 'Une': [182], 'démontre': [184], 'que': [185, 213, 292], 'dans': [186], 'le': [187, 221, 247, 262], 'cas': [188, 227, 248], "d'un": [189, 266], 'estimateur': [190, 267], 'mode': [192], 'Chernoff,': [194, 252], 'probabilité': [196, 284], 'couverture': [198, 286], "l'intervalle": [200, 295], 'confiance': [202, 232], 'base': [205, 234, 281], 'est': [206, 256, 259], 'grandement': [207], 'inférieure': [208], 'au': [209], 'niveau': [210, 222], 'prescrit,': [211], 'alors': [212, 291], 'celle': [214, 293], 'intervalles': [216, 230, 278], 'type': [218], 'dépasse': [220], 'prescrit.': [223], "C'est": [224], 'où': [228], 'les': [229], 'ont': [237], 'si': [240, 253], 'différent': [241], 'malgré': [242], 'longueurs': [244], 'identiques.': [245], 'Dans': [246], "l'estimateur": [250], 'symétrique,': [257], 'il': [258], "d'appliquer": [261], 'partir': [265], 'lisse': [268], 'symétrique': [270], 'mènera': [275], 'dont': [282], 'asymptotique': [287], 'sera': [288], 'bonne,': [290], 'convergera': [297]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2136644106', 'counts_by_year': [{'year': 2022, 'cited_by_count': 1}, {'year': 2021, 'cited_by_count': 1}, {'year': 2020, 'cited_by_count': 5}, {'year': 2019, 'cited_by_count': 3}, {'year': 2018, 'cited_by_count': 2}, {'year': 2015, 'cited_by_count': 1}, {'year': 2014, 'cited_by_count': 2}, {'year': 2012, 'cited_by_count': 1}], 'updated_date': '2025-01-09T15:47:19.946996', 'created_date': '2016-06-24'}