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We investigate a new nonparametric curve estimator and convergence ratio of given estimator by using cross-validation method to choice of wavelet threshold when the observations are taken on the regular grid. At the end we used simulation study to examine our proposed estimator. We survey the theoretical outcomes with numerical computation by using [Formula: see text] software to compare purpose estimator with another estimators.<\/jats:p>","DOI":"10.1142\/s0219691317500576","type":"journal-article","created":{"date-parts":[[2017,9,7]],"date-time":"2017-09-07T07:12:03Z","timestamp":1504768323000},"page":"1750057","source":"Crossref","is-referenced-by-count":2,"title":["Nonlinear wavelet shrinkage estimator of nonparametric regularity regression function via cross-validation with simulation study"],"prefix":"10.1142","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2814-7496","authenticated-orcid":false,"given":"Mahmoud","family":"Afshari","sequence":"first","affiliation":[{"name":"Department of Statistics, Faculty of Sciences, Persian Gulf University, Bushehr 75168, Iran"}]}],"member":"219","published-online":{"date-parts":[[2017,11,29]]},"reference":[{"key":"S0219691317500576BIB001","doi-asserted-by":"publisher","DOI":"10.1111\/1467-9868.00151"},{"key":"S0219691317500576BIB002","doi-asserted-by":"publisher","DOI":"10.1080\/03610926.2011.642917"},{"key":"S0219691317500576BIB003","doi-asserted-by":"publisher","DOI":"10.4236\/am.2014.513200"},{"key":"S0219691317500576BIB004","doi-asserted-by":"publisher","DOI":"10.4236\/jdaip.2014.21001"},{"key":"S0219691317500576BIB005","doi-asserted-by":"publisher","DOI":"10.1214\/07-SS014"},{"key":"S0219691317500576BIB006","first-page":"937","volume":"96","author":"Antoniadis A.","year":"2011","journal-title":"J. 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