Volume 43 Issue 2
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JOURNAL OF MECHANICAL ENGINEERING  > 2017  >  43(2): 313-319.
GUO Donglin, XUE Liugen, HU Yuqin. Robust Estimation of Mean in Partially Linear Model With Missing Responses[J]. JOURNAL OF MECHANICAL ENGINEERING, 2017, 43(2): 313-319. doi: 10.11936/bjutxb2016040017
Citation: GUO Donglin, XUE Liugen, HU Yuqin. Robust Estimation of Mean in Partially Linear Model With Missing Responses[J]. JOURNAL OF MECHANICAL ENGINEERING, 2017, 43(2): 313-319. doi: 10.11936/bjutxb2016040017
shu

Robust Estimation of Mean in Partially Linear Model With Missing Responses

doi: 10.11936/bjutxb2016040017
  • 1.

    College of Applied Sciences, Beijing University of Technology, Beijing 100124, China

  • 2.

    School of Mathematics and Information Science, Shangqiu Normal University, Shangqiu 476000, Henan, China

  • 3.

    School of data science, Zhejiang University of Finance and Economics, Hangzhou 310018, China

  • Received Date: 07 Apr 2016
    Available Online: 13 Sep 2022
  • Issue Publish Date: 01 Feb 2017
    Abstract
  • To improve the robustness of an estimator, based on the covariate balancing propensity score and the augmented inverse probability weighted methods, a robust estimator of the population mean was obtained for the partially linear model, when the responses were missing at random. It is proved that the proposed estimator is asymptotically normal, and hence it can be applied to constructing the confidence region of the population mean.

     

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