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Shrinkage estimation of partially linear single-index models
Authors:Qin Wang  Rongning Wu
Institution:1. Department of Statistical Sciences and Operations Research, Virginia Commonwealth University, Richmond, VA 23284, USA;2. Department of Statistics and Computer Information Systems, Baruch College, The City University of New York, New York, NY 10010, USA
Abstract:In this paper, we propose shrinkage estimation for partially linear single-index models. A profile least squares approximation is used to estimate the model parameters and select informative variables simultaneously. The resulting estimator is shown to be consistent and to enjoy the oracle properties.
Keywords:Adaptive Lasso  Partially linear model  Semiparametric estimation
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