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We propose a semiparametric pursuit method to simultaneously identify and estimate linear and nonparametric covariate effects based on B-spline expansions through a penalized group selection method with concave penalties. We show that the estimators of the linear effects and the nonparametric component are consistent. Furthermore, we establish the asymptotic normality of the estimator of the linear effects. To compute the proposed estimators, we develop a modified blockwise majorization descent algorithm that is efficient and easy to implement. Simulation studies demonstrate that the proposed method performs well in finite sample situations. We also use the primary biliary cirrhosis data to illustrate its application.<\/jats:p>","DOI":"10.1111\/biom.12529","type":"journal-article","created":{"date-parts":[[2016,7,6]],"date-time":"2016-07-06T17:03:19Z","timestamp":1467824599000},"page":"1086-1097","source":"Crossref","is-referenced-by-count":11,"title":["Sieve Estimation of Cox Models with Latent Structures"],"prefix":"10.1093","volume":"72","author":[{"given":"Yongxiu","family":"Cao","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Wuhan University , Wuhan , China"},{"name":"School of Statistics and Mathematics, Zhongnan University of Economics and Law , Wuhan , China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jian","family":"Huang","sequence":"additional","affiliation":[{"name":"Department of Statistics and Actuarial Science, University of Iowa , Iowa City, Iowa , U.S.A."},{"name":"School of Statistics and Management, Shanghai University of Finance and Economics , 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