{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,21]],"date-time":"2025-10-21T15:26:23Z","timestamp":1761060383392,"version":"3.37.3"},"reference-count":12,"publisher":"World Scientific Pub Co Pte Ltd","issue":"06","funder":[{"DOI":"10.13039\/501100005089","name":"Beijing Municipal Natural Science Foundation","doi-asserted-by":"publisher","award":["1172001"],"award-info":[{"award-number":["1172001"]}],"id":[{"id":"10.13039\/501100005089","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11271038"],"award-info":[{"award-number":["11271038"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2017,11]]},"abstract":"<jats:p> This paper discusses the uniformly strong convergence of multivariate density estimation with moderately ill-posed noise over a bounded set. We provide a convergence rate over Besov spaces by using a compactly supported wavelet. When the model degenerates to one-dimensional noise-free case, the convergence rate coincides with that of Gin\u00e9 and Nickl\u2019s (Ann. Probab., 2009 or Bernoulli, 2010). Our result can also be considered as an extension of Masry\u2019s theorem (Stoch. Process. Appl., 1997) to some extent. <\/jats:p>","DOI":"10.1142\/s0219691317500552","type":"journal-article","created":{"date-parts":[[2017,7,10]],"date-time":"2017-07-10T22:15:51Z","timestamp":1499724951000},"page":"1750055","source":"Crossref","is-referenced-by-count":8,"title":["A note on wavelet deconvolution density estimation"],"prefix":"10.1142","volume":"15","author":[{"given":"Xiaochen","family":"Zeng","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics, Beijing University of Technology, Pingle Yuan 100, Beijing 100124, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2017,11,29]]},"reference":[{"key":"S0219691317500552BIB001","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970104"},{"key":"S0219691317500552BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/S0246-0203(02)01128-7"},{"key":"S0219691317500552BIB003","doi-asserted-by":"publisher","DOI":"10.1214\/08-AOP447"},{"key":"S0219691317500552BIB004","doi-asserted-by":"publisher","DOI":"10.3150\/09-BEJ239"},{"key":"S0219691317500552BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-2222-4"},{"key":"S0219691317500552BIB006","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2013.07.002"},{"key":"S0219691317500552BIB007","doi-asserted-by":"publisher","DOI":"10.1214\/10-AOS836"},{"key":"S0219691317500552BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/0304-4149(93)90094-K"},{"key":"S0219691317500552BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-4149(96)00005-1"},{"key":"S0219691317500552BIB010","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-87557-4"},{"volume-title":"Wavelets and Operators","year":"1992","author":"Meyer Y.","key":"S0219691317500552BIB011"},{"key":"S0219691317500552BIB012","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176344076"}],"container-title":["International Journal of Wavelets, Multiresolution and Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219691317500552","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,20]],"date-time":"2019-09-20T04:43:01Z","timestamp":1568954581000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219691317500552"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,11]]},"references-count":12,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2017,11,29]]},"published-print":{"date-parts":[[2017,11]]}},"alternative-id":["10.1142\/S0219691317500552"],"URL":"https:\/\/doi.org\/10.1142\/s0219691317500552","relation":{},"ISSN":["0219-6913","1793-690X"],"issn-type":[{"type":"print","value":"0219-6913"},{"type":"electronic","value":"1793-690X"}],"subject":[],"published":{"date-parts":[[2017,11]]}}}