{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,5,27]],"date-time":"2024-05-27T23:40:41Z","timestamp":1716853241824},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015,9,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>This paper is devoted to the estimation of the accuracy and reliability (in <jats:italic>L<jats:sub>p<\/jats:sub>\n                  <\/jats:italic>(<jats:italic>T<\/jats:italic>) metrics) for the calculation of improper integrals depending on a parameter <jats:italic>t<\/jats:italic> using the Monte Carlo method. For this estimates we use the theory of \ud835\udc05<jats:sub>\u03c8<\/jats:sub>(\u03a9) spaces.<\/jats:p>","DOI":"10.1515\/mcma-2015-0104","type":"journal-article","created":{"date-parts":[[2015,9,1]],"date-time":"2015-09-01T17:00:34Z","timestamp":1441126834000},"page":"233-244","source":"Crossref","is-referenced-by-count":2,"title":["Reliability and accuracy in the space <i>L<sub>p<\/sub>\n                  <\/i>(<i>T<\/i>) for the calculation of integrals depending on a parameter by the Monte Carlo method"],"prefix":"10.1515","volume":"21","author":[{"given":"Yuriy V.","family":"Kozachenko","sequence":"first","affiliation":[{"name":"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"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuriy Y.","family":"Mlavets","sequence":"additional","affiliation":[{"name":"Department of Cybernetics and Applied Mathematics, Faculty of Mathematics, Uzhhorod National University, University Str. 14, Uzghorod 88000, Ukraine"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2015,9,1]]},"container-title":["Monte Carlo Methods and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/mcma-2015-0104\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/mcma-2015-0104\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T22:39:56Z","timestamp":1680388796000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/mcma-2015-0104\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,9,1]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2015,9,1]]},"published-print":{"date-parts":[[2015,9,1]]}},"alternative-id":["10.1515\/mcma-2015-0104"],"URL":"https:\/\/doi.org\/10.1515\/mcma-2015-0104","relation":{},"ISSN":["0929-9629","1569-3961"],"issn-type":[{"value":"0929-9629","type":"print"},{"value":"1569-3961","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,9,1]]}}}