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Optimal Model Averaging Estimation for the Varying-Coefficient Partially Linear Models with Missing Responses

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… Click to show full abstract

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.

Keywords: model averaging; coefficient partially; averaging estimation; varying coefficient; estimation varying; model

Journal Title: Mathematics
Year Published: 2023

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