{"id":"https://openalex.org/W2159605142","doi":"https://doi.org/10.1016/s0169-7161(84)04022-0","title":"20 Invariance principles for empirical processes","display_name":"20 Invariance principles for empirical processes","publication_year":1984,"publication_date":"1984-01-01","ids":{"openalex":"https://openalex.org/W2159605142","doi":"https://doi.org/10.1016/s0169-7161(84)04022-0","mag":"2159605142"},"language":"en","primary_location":{"id":"doi:10.1016/s0169-7161(84)04022-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0169-7161(84)04022-0","pdf_url":null,"source":{"id":"https://openalex.org/S44500590","display_name":"Handbook of statistics","issn_l":"0169-7161","issn":["0169-7161","1875-7448"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Handbook of Statistics","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060014152","display_name":"Mikl\u00f3s Cs\u00f6rg\u0151","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mikl\u00f3s Cs\u00f6rg\u0151","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5060014152"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.31282051,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"431","last_page":"462"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9973999857902527,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9973999857902527,"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":0.9944999814033508,"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/T10067","display_name":"Stochastic processes and financial applications","score":0.9941999912261963,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quantile","display_name":"Quantile","score":0.6893433928489685},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6359038949012756},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.6055929064750671},{"id":"https://openalex.org/keywords/weak-convergence","display_name":"Weak convergence","score":0.5300535559654236},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.519573450088501},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.49418309330940247},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.46041446924209595},{"id":"https://openalex.org/keywords/von-mises-yield-criterion","display_name":"von Mises yield criterion","score":0.4503431022167206},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4351913630962372},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4314534068107605},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.339740127325058},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.29175156354904175},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2453916370868683},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.09486094117164612},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06504249572753906},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.05881568789482117}],"concepts":[{"id":"https://openalex.org/C118671147","wikidata":"https://www.wikidata.org/wiki/Q578714","display_name":"Quantile","level":2,"score":0.6893433928489685},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6359038949012756},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.6055929064750671},{"id":"https://openalex.org/C57945734","wikidata":"https://www.wikidata.org/wiki/Q7977941","display_name":"Weak convergence","level":3,"score":0.5300535559654236},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.519573450088501},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.49418309330940247},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.46041446924209595},{"id":"https://openalex.org/C155165730","wikidata":"https://www.wikidata.org/wiki/Q1319519","display_name":"von Mises yield criterion","level":3,"score":0.4503431022167206},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4351913630962372},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4314534068107605},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.339740127325058},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.29175156354904175},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2453916370868683},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.09486094117164612},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06504249572753906},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.05881568789482117},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C76178495","wikidata":"https://www.wikidata.org/wiki/Q4808784","display_name":"Asset (computer security)","level":2,"score":0.0},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0169-7161(84)04022-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0169-7161(84)04022-0","pdf_url":null,"source":{"id":"https://openalex.org/S44500590","display_name":"Handbook of statistics","issn_l":"0169-7161","issn":["0169-7161","1875-7448"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Handbook of Statistics","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":106,"referenced_works":["https://openalex.org/W19154017","https://openalex.org/W59186131","https://openalex.org/W92485838","https://openalex.org/W102450895","https://openalex.org/W152709406","https://openalex.org/W160004025","https://openalex.org/W173615888","https://openalex.org/W598554475","https://openalex.org/W627954411","https://openalex.org/W628393128","https://openalex.org/W1500484812","https://openalex.org/W1506122436","https://openalex.org/W1509727679","https://openalex.org/W1575468084","https://openalex.org/W1605730011","https://openalex.org/W1614609926","https://openalex.org/W1969176878","https://openalex.org/W1969971345","https://openalex.org/W1975114970","https://openalex.org/W1976119770","https://openalex.org/W1979635023","https://openalex.org/W1981151897","https://openalex.org/W1988208145","https://openalex.org/W1988987700","https://openalex.org/W1992441472","https://openalex.org/W2000475131","https://openalex.org/W2000861790","https://openalex.org/W2005249365","https://openalex.org/W2005388202","https://openalex.org/W2007579985","https://openalex.org/W2008173531","https://openalex.org/W2010060258","https://openalex.org/W2010731048","https://openalex.org/W2011592102","https://openalex.org/W2013657529","https://openalex.org/W2018156497","https://openalex.org/W2022112684","https://openalex.org/W2023626126","https://openalex.org/W2024839364","https://openalex.org/W2025215390","https://openalex.org/W2026324311","https://openalex.org/W2029078670","https://openalex.org/W2030279168","https://openalex.org/W2034398085","https://openalex.org/W2034832183","https://openalex.org/W2035619074","https://openalex.org/W2042132284","https://openalex.org/W2043686894","https://openalex.org/W2053013517","https://openalex.org/W2060567708","https://openalex.org/W2070221807","https://openalex.org/W2070803806","https://openalex.org/W2073707526","https://openalex.org/W2074071318","https://openalex.org/W2074926504","https://openalex.org/W2078686459","https://openalex.org/W2085168030","https://openalex.org/W2086891822","https://openalex.org/W2091311158","https://openalex.org/W2091429326","https://openalex.org/W2094081378","https://openalex.org/W2103012681","https://openalex.org/W2106730112","https://openalex.org/W2121118174","https://openalex.org/W2129706714","https://openalex.org/W2136603527","https://openalex.org/W2136726214","https://openalex.org/W2206025634","https://openalex.org/W2242577810","https://openalex.org/W2335195323","https://openalex.org/W2365998760","https://openalex.org/W2477253895","https://openalex.org/W2487349482","https://openalex.org/W2487893106","https://openalex.org/W2751862591","https://openalex.org/W2800067118","https://openalex.org/W2802739963","https://openalex.org/W2903778746","https://openalex.org/W4213124581","https://openalex.org/W4214734294","https://openalex.org/W4231487892","https://openalex.org/W4236019471","https://openalex.org/W4243142402","https://openalex.org/W4243831779","https://openalex.org/W4245557262","https://openalex.org/W4247547347","https://openalex.org/W4248421629","https://openalex.org/W4249211041","https://openalex.org/W4249882818","https://openalex.org/W4254147770","https://openalex.org/W4255327597","https://openalex.org/W4256650910","https://openalex.org/W4291439952","https://openalex.org/W4299533062","https://openalex.org/W4372053461","https://openalex.org/W6604261069","https://openalex.org/W6606213862","https://openalex.org/W6607056631","https://openalex.org/W6618231806","https://openalex.org/W6619959403","https://openalex.org/W6630148421","https://openalex.org/W6659549071","https://openalex.org/W6688499617","https://openalex.org/W6702312171","https://openalex.org/W6722250980","https://openalex.org/W6722541999"],"related_works":["https://openalex.org/W1488761988","https://openalex.org/W2044551864","https://openalex.org/W2047938026","https://openalex.org/W1572557500","https://openalex.org/W3124946120","https://openalex.org/W2585269888","https://openalex.org/W3132003399","https://openalex.org/W2909697207","https://openalex.org/W2005776175","https://openalex.org/W4293365552"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
