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Liu Estimator in Semiparametric Partially Linear Varying Coefficient Models

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  • Jing Li
  • Xueyan Li

Abstract

This paper considers biased estimation for partially linear varying coefficient model to overcome the problem of multicollinearity. By the Liu estimation approach, we construct a profile Liu estimator for the constant coefficients. Furthermore, a restricted profile-Liu estimator is proposed for the situation that some additional linear restrictions are available. The properties of the proposed estimators are investigated.

Suggested Citation

  • Jing Li & Xueyan Li, 2019. "Liu Estimator in Semiparametric Partially Linear Varying Coefficient Models," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 8(6), pages 1-69, November.
    • Handle: RePEc:ibn:ijspjl:v:8:y:2019:i:6:p:69
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    References listed on IDEAS

    as
    1. Chuanhua Wei & Xiaonan Wang, 2016. "Liu-type estimator in semiparametric partially linear additive models," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 28(3), pages 459-468, September.
    2. Roozbeh, M. & Arashi, M., 2013. "Feasible ridge estimator in partially linear models," Journal of Multivariate Analysis, Elsevier, vol. 116(C), pages 35-44.
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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