{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T12:07:09Z","timestamp":1740139629544,"version":"3.37.3"},"reference-count":0,"publisher":"Walter de Gruyter GmbH","issue":"3","funder":[{"DOI":"10.13039\/501100002261","name":"RFBR","doi-asserted-by":"crossref","award":["14-01-00271"],"award-info":[{"award-number":["14-01-00271"]}],"id":[{"id":"10.13039\/501100002261","id-type":"DOI","asserted-by":"crossref"}]}],"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>We establish and examine the deep connection between highly stratified random cubature formulas and quasi-Monte Carlo methods.\nA class of such formulas, designed to exactly integrate the introduced generalized <jats:italic>s<\/jats:italic>-dimensional Haar system, is shown to have additional variance reduction compared to the known theoretical upper bound. We propose several equivalent expressions for the variance within the standard quasi-Monte Carlo setting. The theory of random cubatures is supplemented with both refined versions of known results and completely new facts.<\/jats:p>","DOI":"10.1515\/mcma-2015-0102","type":"journal-article","created":{"date-parts":[[2015,5,5]],"date-time":"2015-05-05T08:57:24Z","timestamp":1430816244000},"page":"179-187","source":"Crossref","is-referenced-by-count":0,"title":["Random cubatures and quasi-Monte Carlo methods"],"prefix":"10.1515","volume":"21","author":[{"given":"Anton A.","family":"Antonov","sequence":"first","affiliation":[{"name":"Saint Petersburg State University 7\u20139, Universitetskaya nab., 199034, St.Petersburg, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sergej M.","family":"Ermakov","sequence":"additional","affiliation":[{"name":"Saint Petersburg State University 7\u20139, Universitetskaya nab., 199034, St.Petersburg, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2015,5,5]]},"container-title":["Monte Carlo Methods and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/mcma-2015-0102\/xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/mcma-2015-0102\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T22:39:54Z","timestamp":1680388794000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/mcma-2015-0102\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,5,5]]},"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-2015-0102"],"URL":"https:\/\/doi.org\/10.1515\/mcma-2015-0102","relation":{},"ISSN":["0929-9629","1569-3961"],"issn-type":[{"type":"print","value":"0929-9629"},{"type":"electronic","value":"1569-3961"}],"subject":[],"published":{"date-parts":[[2015,5,5]]}}}