Mathematics, Vol. 11, Pages 1883: Optimal Model Averaging Estimation for the Varying-Coefficient Partially Linear Models with Missing Responses

Mathematics, Vol. 11, Pages 1883: Optimal Model Averaging Estimation for the Varying-Coefficient Partially Linear Models with Missing Responses

Mathematics doi: 10.3390/math11081883

Authors: Jie Zeng Weihu Cheng Guozhi Hu

In this paper, we propose a model averaging estimation for the varying-coefficient partially linear models with missing responses. Within this context, we construct a HRCp weight choice criterion that exhibits asymptotic optimality under certain assumptions. Our model averaging procedure can simultaneously address the uncertainty on which covariates to include and the uncertainty on whether a covariate should enter the linear or nonlinear component of the model. The simulation results in comparison with some related strategies strongly favor our proposal. A real dataset is analyzed to illustrate the practical application as well.