{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,25]],"date-time":"2026-01-25T15:44:27Z","timestamp":1769355867751,"version":"3.49.0"},"reference-count":25,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2022,3]]},"abstract":"<jats:p> In this paper, we introduce a wavelet-based method for estimating the effective dimension reduction (EDR) space in the semiparametric regression model introduced by Li [Sliced inverse regression for dimension reduction, J. Amer. Statist. Assoc.\u00a086 (1991) 316\u2013327]. This method is obtained by using linear wavelet estimators of the density and regression functions that are involved in the covariance matrix of conditional expectation whose eigenvectors span the EDR space. Then, consistency of the proposed estimators is proved. A simulation study that allows one to evaluate the performance of the proposal with comparison to existing methods is presented. <\/jats:p>","DOI":"10.1142\/s0219691321500569","type":"journal-article","created":{"date-parts":[[2021,10,11]],"date-time":"2021-10-11T06:24:48Z","timestamp":1633933488000},"source":"Crossref","is-referenced-by-count":1,"title":["Wavelet-based estimation in a semiparametric regression model"],"prefix":"10.1142","volume":"20","author":[{"given":"Emmanuel","family":"de Dieu Nkou","sequence":"first","affiliation":[{"name":"Universit\u00e9 des Sciences et Techniques de Masuku, BP 943 Franceville, Gabon"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guy Martial","family":"Nkiet","sequence":"additional","affiliation":[{"name":"Universit\u00e9 des Sciences et Techniques de Masuku, BP 943 Franceville, Gabon"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2021,12,2]]},"reference":[{"key":"S0219691321500569BIB001","first-page":"109","volume":"12","author":"Aragon Y.","year":"1997","journal-title":"Comput. Statist."},{"key":"S0219691321500569BIB002","doi-asserted-by":"publisher","DOI":"10.1198\/016214501753208979"},{"key":"S0219691321500569BIB003","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970104"},{"key":"S0219691321500569BIB004","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176348109"},{"key":"S0219691321500569BIB005","first-page":"132","volume":"93","author":"Ferr\u00e9 L.","year":"1998","journal-title":"J. Amer. Statist. Assoc."},{"key":"S0219691321500569BIB006","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1022874828"},{"key":"S0219691321500569BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/S0246-0203(01)01081-0"},{"key":"S0219691321500569BIB008","doi-asserted-by":"publisher","DOI":"10.1214\/08-AOP447"},{"key":"S0219691321500569BIB009","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-2222-4"},{"key":"S0219691321500569BIB010","first-page":"986","volume":"84","author":"H\u00e4rdle W.","year":"1989","journal-title":"J. Amer. Statist. Assoc."},{"key":"S0219691321500569BIB011","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176348669"},{"key":"S0219691321500569BIB012","doi-asserted-by":"publisher","DOI":"10.1016\/0167-7152(92)90231-S"},{"key":"S0219691321500569BIB013","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1991.10475035"},{"key":"S0219691321500569BIB014","volume-title":"Wavelets and Operators","author":"Meyer Y.","year":"1992"},{"key":"S0219691321500569BIB015","doi-asserted-by":"publisher","DOI":"10.1007\/s10463-006-0106-0"},{"key":"S0219691321500569BIB016","doi-asserted-by":"publisher","DOI":"10.1080\/02331888.2019.1656723"},{"key":"S0219691321500569BIB017","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176350374"},{"key":"S0219691321500569BIB018","doi-asserted-by":"publisher","DOI":"10.2307\/1913713"},{"key":"S0219691321500569BIB019","doi-asserted-by":"publisher","DOI":"10.1080\/03610929708832039"},{"key":"S0219691321500569BIB020","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1994.10476455"},{"key":"S0219691321500569BIB021","first-page":"595","volume":"54","author":"Stone C. J.","year":"1977","journal-title":"Ann. Statist."},{"key":"S0219691321500569BIB022","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1176988847"},{"key":"S0219691321500569BIB023","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1998.10473770"},{"key":"S0219691321500569BIB024","doi-asserted-by":"publisher","DOI":"10.1002\/9780470317020"},{"key":"S0219691321500569BIB025","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1032526955"}],"container-title":["International Journal of Wavelets, Multiresolution and Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219691321500569","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,4,7]],"date-time":"2022-04-07T13:11:18Z","timestamp":1649337078000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219691321500569"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,12,2]]},"references-count":25,"journal-issue":{"issue":"02","published-print":{"date-parts":[[2022,3]]}},"alternative-id":["10.1142\/S0219691321500569"],"URL":"https:\/\/doi.org\/10.1142\/s0219691321500569","relation":{},"ISSN":["0219-6913","1793-690X"],"issn-type":[{"value":"0219-6913","type":"print"},{"value":"1793-690X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,12,2]]},"article-number":"2150056"}}