{"id":"https://openalex.org/W2246474777","doi":"https://doi.org/10.1515/mcma-2015-0104","title":"Reliability and accuracy in the space <i>L<sub>p</sub> </i>(<i>T</i>) for the calculation of integrals depending on a parameter by the Monte Carlo method","display_name":"Reliability and accuracy in the space <i>L<sub>p</sub> </i>(<i>T</i>) for the calculation of integrals depending on a parameter by the Monte Carlo method","publication_year":2015,"publication_date":"2015-09-01","ids":{"openalex":"https://openalex.org/W2246474777","doi":"https://doi.org/10.1515/mcma-2015-0104","mag":"2246474777"},"language":"en","primary_location":{"id":"doi:10.1515/mcma-2015-0104","is_oa":false,"landing_page_url":"http://doi.org/10.1515/mcma-2015-0104","pdf_url":null,"source":{"id":"https://openalex.org/S142132501","display_name":"Monte Carlo Methods and Applications","issn_l":"0929-9629","issn":["0929-9629","1569-3961"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Monte Carlo Methods and Applications","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/A5080733027","display_name":"Yuriy Kozachenko","orcid":"https://orcid.org/0000-0001-6996-8368"},"institutions":[{"id":"https://openalex.org/I189238007","display_name":"Taras Shevchenko National University of Kyiv","ror":"https://ror.org/02aaqv166","country_code":"UA","type":"education","lineage":["https://openalex.org/I189238007"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Yuriy V. Kozachenko","raw_affiliation_strings":["Department of Probability Theory, Statistics and Actuarial Mathematics, Faculty of Mechanics and Mathematics, Taras Shevchenko National University of Kyiv, Volodymyrska Str. 64, Kyiv 01601, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Probability Theory, Statistics and Actuarial Mathematics, Faculty of Mechanics and Mathematics, Taras Shevchenko National University of Kyiv, Volodymyrska Str. 64, Kyiv 01601, Ukraine","institution_ids":["https://openalex.org/I189238007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008219749","display_name":"\u042e. \u042e. \u041c\u043b\u0430\u0432\u0435\u0446\u044c","orcid":"https://orcid.org/0000-0002-1480-9017"},"institutions":[{"id":"https://openalex.org/I77443782","display_name":"Uzhhorod National University","ror":"https://ror.org/01x3jjv63","country_code":"UA","type":"education","lineage":["https://openalex.org/I77443782"]}],"countries":["UA"],"is_corresponding":true,"raw_author_name":"Yuriy Y. Mlavets","raw_affiliation_strings":["Department of Cybernetics and Applied Mathematics, Faculty of Mathematics, Uzhhorod National University, University Str. 14, Uzghorod 88000, Ukraine"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Cybernetics and Applied Mathematics, Faculty of Mathematics, Uzhhorod National University, University Str. 14, Uzghorod 88000, Ukraine","institution_ids":["https://openalex.org/I77443782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008219749"],"corresponding_institution_ids":["https://openalex.org/I77443782"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.14591096,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"21","issue":"3","first_page":"233","last_page":"244"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9750000238418579,"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":0.9750000238418579,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.8097326755523682},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.7045640349388123},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5821509957313538},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.580460250377655},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4792613983154297},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.4146490693092346},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3810250163078308},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.27744144201278687},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2684914767742157},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1919320523738861},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07617875933647156}],"concepts":[{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.8097326755523682},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.7045640349388123},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5821509957313538},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.580460250377655},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4792613983154297},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.4146490693092346},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3810250163078308},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.27744144201278687},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2684914767742157},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1919320523738861},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07617875933647156},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1515/mcma-2015-0104","is_oa":false,"landing_page_url":"http://doi.org/10.1515/mcma-2015-0104","pdf_url":null,"source":{"id":"https://openalex.org/S142132501","display_name":"Monte Carlo Methods and Applications","issn_l":"0929-9629","issn":["0929-9629","1569-3961"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Monte Carlo Methods and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:bpj:mcmeap:v:21:y:2015:i:3:p:233-244:n:4","is_oa":false,"landing_page_url":"https://doi.org/10.1515/mcma-2015-0104","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2393870460","https://openalex.org/W4284894156","https://openalex.org/W2161803855","https://openalex.org/W1968537504","https://openalex.org/W2134539662","https://openalex.org/W3110774753","https://openalex.org/W2254578859","https://openalex.org/W2394523273","https://openalex.org/W2084842408","https://openalex.org/W2005266888"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"is":[3],"devoted":[4],"to":[5],"the":[6,9,21,32,41],"estimation":[7],"of":[8,23,43],"accuracy":[10],"and":[11],"reliability":[12],"(in":[13],"L":[14],"p":[15],"(":[16],"T":[17],")":[18],"metrics)":[19],"for":[20],"calculation":[22],"improper":[24],"integrals":[25],"depending":[26],"on":[27],"a":[28],"parameter":[29],"t":[30],"using":[31],"Monte":[33],"Carlo":[34],"method.":[35],"For":[36],"this":[37],"estimates":[38],"we":[39],"use":[40],"theory":[42],"\ud835\udc05":[44],"\u03c8":[45],"(\u03a9)":[46],"spaces.":[47]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2016-06-24T00:00:00"}