Network Structure Imputation Estimation with Missing Data Based on the Varying-Coefficient Partially Linear Spatial Error Models
In this paper,we adopt the spatial error model to describe the network structure relationship between individuals,and propose both estimation and imputa-tion methods of the varying-coefficient partially linear spatial error model with miss-ing responses.We firstly construct the estimator of the model parameter through profile maximum likelihood method and a matrix blocking technique.We prove the asymptotic normality of the parametric estimators and show the convergence rate of the nonparametric estimator.We then propose imputation estimators of missing response based on this model.Finally,we conduct Monte-Carlo simulation studies to detect the infinite sample performance of the estimator and analyze the QQ data set using the proposed method.
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