{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T12:07:15Z","timestamp":1740139635299,"version":"3.37.3"},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"4","funder":[{"DOI":"10.13039\/501100004801","name":"Shota Rustaveli National Science Foundation","doi-asserted-by":"crossref","award":["FR\/116\/5-100\/14"],"award-info":[{"award-number":["FR\/116\/5-100\/14"]}],"id":[{"id":"10.13039\/501100004801","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015,12,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>By using main properties of\nuniformly distributed sequences of increasing finite\nsets in infinite-dimensional rectangles in \u211d<jats:sup>\u221e<\/jats:sup> described in\n[Real Anal. Exchange 36 (2010\/2011), no. 2,\n325\u2013340], a new approach for an infinite-dimensional Monte-Carlo integration is introduced and the validity of some infinite-dimensional strong law type theorems are obtained in this paper. In addition, by using properties of uniformly distributed sequences in the unit interval, a new proof of Kolmogorov's strong law of large numbers is obtained which essentially differs from its original proof.<\/jats:p>","DOI":"10.1515\/mcma-2015-0108","type":"journal-article","created":{"date-parts":[[2015,12,13]],"date-time":"2015-12-13T04:13:46Z","timestamp":1449980026000},"page":"283-299","source":"Crossref","is-referenced-by-count":2,"title":["Infinite-dimensional Monte-Carlo integration"],"prefix":"10.1515","volume":"21","author":[{"given":"Gogi R.","family":"Pantsulaia","sequence":"first","affiliation":[{"name":"Department of Mathematics, Georgian Technical University, 0175 Tbilisi, Georgia; and I. Vekua Institute of Applied Mathematics, Tbilisi State University, 0143 Tbilisi, Georgia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2015,10,24]]},"container-title":["Monte Carlo Methods and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/mcma-2015-0108\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/mcma-2015-0108\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T15:02:07Z","timestamp":1680361327000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/mcma-2015-0108\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,10,24]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2015,12,1]]},"published-print":{"date-parts":[[2015,12,1]]}},"alternative-id":["10.1515\/mcma-2015-0108"],"URL":"https:\/\/doi.org\/10.1515\/mcma-2015-0108","relation":{},"ISSN":["0929-9629","1569-3961"],"issn-type":[{"type":"print","value":"0929-9629"},{"type":"electronic","value":"1569-3961"}],"subject":[],"published":{"date-parts":[[2015,10,24]]}}}