Liu-type estimator in semiparametric partially linear additive models |
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Authors: | Chuanhua Wei Xiaonan Wang |
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Institution: | 1. Department of Statistics, School of Science, Minzu University of China, Beijing 100081, People's Republic of China;2. School of Statistics, Renmin University of China, Beijing 100871, People's Republic of China |
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Abstract: | Partially linear additive model is useful in statistical modelling as a multivariate nonparametric fitting technique. This paper considers statistical inference for the semiparametric model in the presence of multicollinearity. Based on the profile least-squares (PL) approach and Liu estimation method, we propose a PL Liu estimator for the parametric component. When some additional linear restrictions on the parametric component are available, the corresponding restricted Liu estimator for the parametric component is constructed. The properties of the proposed estimators are derived. Some simulations are conducted to assess the performance of the proposed procedures and the results are satisfactory. Finally, a real data example is analysed. |
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Keywords: | Liu estimator partially linear additive model profile least-squares approach restricted estimation |
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