Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (2): 270-274.

Previous Articles     Next Articles

Some Asymptotic Properties for Multivariate Partially Linear Models

  

  1. 1. Department of Mathematics and Computer Science, Tongling University2. Department of Mathematics, Anhui University

  • Received:2008-04-01 Online:2011-06-30 Published:2023-05-05
  • About author:ZHUO Xing-cai(1974-), male, native of Dangtu, Anhui, M.S.D., engages in nonparametric statistics; HU Shu-he(1954-), male, native of Shucheng, Anhui, a professor and tutor of doctor student of Anhui University, engages in nonparametric statistics.
  • Supported by:
    Supported by the Anhui Provincial Natural Science Foundation(11040606M04); Supported by the National Natural Science Foundation of China(10871001,10971097);

Abstract: The paper considers a multivariate partially linear model under independent errors, and investigates the asymptotic bias and variance-covariance for parametric component βand nonparametric component F(·) by the GJS estimator and Kernel estimation.

Key words: multivariate partially linear models, GJS estimator, asymptotic properties

CLC Number: