{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,9]],"date-time":"2026-03-09T04:53:08Z","timestamp":1773031988926,"version":"3.50.1"},"reference-count":31,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2022,12,15]],"date-time":"2022-12-15T00:00:00Z","timestamp":1671062400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Natural Sciences and the Engineering Research Council (NSERC) of Canada"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>This study aims to propose modified semiparametric estimators based on six different penalty and shrinkage strategies for the estimation of a right-censored semiparametric regression model. In this context, the methods used to obtain the estimators are ridge, lasso, adaptive lasso, SCAD, MCP, and elasticnet penalty functions. The most important contribution that distinguishes this article from its peers is that it uses the local polynomial method as a smoothing method. The theoretical estimation procedures for the obtained estimators are explained. In addition, a simulation study is performed to see the behavior of the estimators and make a detailed comparison, and hepatocellular carcinoma data are estimated as a real data example. As a result of the study, the estimators based on adaptive lasso and SCAD were more resistant to censorship and outperformed the other four estimators.<\/jats:p>","DOI":"10.3390\/e24121833","type":"journal-article","created":{"date-parts":[[2022,12,16]],"date-time":"2022-12-16T01:46:51Z","timestamp":1671155211000},"page":"1833","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Penalty and Shrinkage Strategies Based on Local Polynomials for Right-Censored Partially Linear Regression"],"prefix":"10.3390","volume":"24","author":[{"given":"Syed Ejaz","family":"Ahmed","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, Brock University, St. Catharines, ON L2S 3A1, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8393-1270","authenticated-orcid":false,"given":"Dursun","family":"Ayd\u0131n","sequence":"additional","affiliation":[{"name":"Department of Statistics, Mugla S\u0131tk\u0131 Kocman University, 48000 Mugla, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ersin","family":"Y\u0131lmaz","sequence":"additional","affiliation":[{"name":"Department of Statistics, Mugla S\u0131tk\u0131 Kocman University, 48000 Mugla, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,12,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1111\/j.2517-6161.1988.tb01738.x","article-title":"Kernel smoothing in partial linear models","volume":"50","author":"Speckman","year":"1988","journal-title":"J. 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