Journal of Advanced Statistics

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DOI: 10.22606/jas.2017.21001

• Jian Wu
  College of Science, Northeastern University, Shenyang 110189, China
• Junhua Zhang
  
  College of Mechanical Engineering, Beijing Information Science and Technology University, Beijing 100192, China
• Gaorong Li^*
  
  Beijing Institute for Scientific and Engineering Computing, Beijing University of Technology, Beijing 100124, China

This paper studies the problems of variable selection and estimation in the additive models with missing response at random. Based on the centered spline basis function approximation, we propose two new imputed estimating equation methods to implement the variable selection for the additive models with missing response at random by using the smooth-threshold estimating equation. Two new imputed methods can select the significant variables and estimate the unknown functions simultaneously. The proposed methods not only avoid the problem of solving a convex optimization, but also reduce the burden of computation. With the proper choices of the regularization parameter, we show that the resulting estimators enjoy the oracle property. The data driven method is used to choose the tuning parameter. A numerical study is analyzed to confirm the performance of the proposed methods.

Additive model, smooth-threshold estimating equations, variable selection, missing data, oracle property.

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