{"id":"https://openalex.org/W2950554765","doi":"https://doi.org/10.1080/03610918.2019.1627370","title":"Decrease of the mean of the quasi-random integration error","display_name":"Decrease of the mean of the quasi-random integration error","publication_year":2019,"publication_date":"2019-06-19","ids":{"openalex":"https://openalex.org/W2950554765","doi":"https://doi.org/10.1080/03610918.2019.1627370","mag":"2950554765"},"language":"en","primary_location":{"id":"doi:10.1080/03610918.2019.1627370","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2019.1627370","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-article"},"type":"article","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/A5103393632","display_name":"Sergej M. Ermakov","orcid":null},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Sergej M. Ermakov","raw_affiliation_strings":["The Faculty of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Faculty of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044604025","display_name":"S. N. Leora","orcid":"https://orcid.org/0000-0001-6641-663X"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Svetlana N. Leora","raw_affiliation_strings":["The Faculty of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Faculty of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5044604025"],"corresponding_institution_ids":["https://openalex.org/I172901346"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.09790875,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"50","issue":"11","first_page":"3581","last_page":"3589"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T13126","display_name":"Scientific Research and Discoveries","score":0.9391000270843506,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9305999875068665,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45342516899108887},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.4430202841758728},{"id":"https://openalex.org/keywords/random-error","display_name":"Random error","score":0.4334898293018341},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.33737364411354065}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45342516899108887},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.4430202841758728},{"id":"https://openalex.org/C73782692","wikidata":"https://www.wikidata.org/wiki/Q196372","display_name":"Random error","level":2,"score":0.4334898293018341},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.33737364411354065}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03610918.2019.1627370","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03610918.2019.1627370","pdf_url":null,"source":{"id":"https://openalex.org/S153329750","display_name":"Communications in Statistics - Simulation and Computation","issn_l":"0361-0918","issn":["0361-0918","1532-4141"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Statistics - Simulation and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.6100000143051147,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G8160034945","display_name":null,"funder_award_id":"17-01-00267-a","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"}],"funders":[{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W2017001763","https://openalex.org/W2804377813"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2006412828"],"abstract_inverted_index":{"The":[0,61],"article":[1,62],"is":[2],"devoted":[3],"to":[4,77,89],"the":[5,8,11,16,24,28,30,38,64,82,108,112,121],"study":[6],"of":[7,10,18,27,33,50,66,70,96,114],"behavior":[9,32],"quasi-random":[12],"integration":[13,51],"remainder":[14],"in":[15,23,111],"calculation":[17],"high-dimensional":[19],"integrals.":[20],"As":[21],"noted":[22],"previous":[25],"work":[26],"authors,":[29],"asymptotic":[31],"its":[34,79],"decrease,":[35],"determined":[36],"by":[37],"Koksma-Hlawka":[39],"inequality,":[40],"can":[41],"be":[42,56],"used":[43],"only":[44],"with":[45,81],"a":[46,67],"very":[47],"large":[48],"number":[49,95],"nodes":[52],"N,":[53],"which":[54,73],"cannot":[55],"implemented":[57],"on":[58],"modern":[59],"computers.":[60],"introduces":[63],"concept":[65],"mean":[68],"order":[69],"decreasing":[71],"remainder,":[72],"makes":[74],"it":[75,104],"possible":[76],"judge":[78],"properties":[80],"N":[83],"values":[84],"available":[85],"for":[86],"realization":[87],"and":[88],"compare":[90],"various":[91],"pseudo-random":[92],"sequences.":[93,123],"A":[94],"numerical":[97],"examples":[98],"are":[99,117],"given.":[100],"In":[101],"all":[102],"cases,":[103],"turned":[105],"out":[106],"that":[107],"Sobol\u2019":[109],"sequences":[110],"sense":[113],"this":[115],"criterion":[116],"somewhat":[118],"better":[119],"than":[120],"Holton":[122]},"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
