{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T13:09:32Z","timestamp":1772284172988,"version":"3.50.1"},"reference-count":8,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2018,9]]},"abstract":"<jats:p> By using biorthogonal wavelets, Reynaud-Bouret, Rivoirard and Tuleau-Malot provide the adaptive and optimal [Formula: see text]-risk estimation for density functions (not necessarily having compact support) in a Besov space [Formula: see text] [P. Reynaud-Bouret, V. Rivoirard and C. Tuleau-Malot, Adaptive density estimation: A curse of support?, J. Stat. Plan. Inference 141(1) (2011) 115\u2013139]. The authors pose an open problem: Can [Formula: see text]-risk ([Formula: see text]) estimation be given in their setting? In this paper, we try to solve that problem for [Formula: see text] by using wavelet estimators. <\/jats:p>","DOI":"10.1142\/s0219691318500388","type":"journal-article","created":{"date-parts":[[2018,4,23]],"date-time":"2018-04-23T08:54:58Z","timestamp":1524473698000},"page":"1850038","source":"Crossref","is-referenced-by-count":2,"title":["On the Reynaud-Bouret\u2013Rivoirard\u2013Tuleau-Malot problem"],"prefix":"10.1142","volume":"16","author":[{"given":"Kaikai","family":"Cao","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics, Beijing University of Technology, Pingle Yuan 100, Beijing 100124, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Youming","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Beijing University of Technology, Pingle Yuan 100, Beijing 100124, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2018,9,11]]},"reference":[{"key":"S0219691318500388BIB001","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970104"},{"key":"S0219691318500388BIB002","doi-asserted-by":"publisher","DOI":"10.1006\/jath.1996.3008"},{"key":"S0219691318500388BIB003","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1032894451"},{"key":"S0219691318500388BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/s00440-013-0512-1"},{"key":"S0219691318500388BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-2222-4"},{"key":"S0219691318500388BIB006","doi-asserted-by":"publisher","DOI":"10.3150\/bj\/1082380217"},{"key":"S0219691318500388BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/0167-7152(92)90231-S"},{"key":"S0219691318500388BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/j.jspi.2010.05.017"}],"container-title":["International Journal of Wavelets, Multiresolution and Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219691318500388","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T19:04:29Z","timestamp":1565118269000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219691318500388"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,9]]},"references-count":8,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2018,9,11]]},"published-print":{"date-parts":[[2018,9]]}},"alternative-id":["10.1142\/S0219691318500388"],"URL":"https:\/\/doi.org\/10.1142\/s0219691318500388","relation":{},"ISSN":["0219-6913","1793-690X"],"issn-type":[{"value":"0219-6913","type":"print"},{"value":"1793-690X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,9]]}}}