Model estimation and selection for partial linear varying coefficient EV models with longitudinal data

Mingtao Zhao, Xiaoli Xu, Yanling Zhu, Kongsheng Zhang and Yan Zhou

Journal of Applied Statistics, 2023, vol. 50, issue 3, 512-534

Abstract: In this paper, we consider the estimation and model selection for longitudinal partial linear varying coefficient errors-in-variables (EV) models when the covariates are measured with some additive errors. Bias-corrected penalized quadratic inference functions method is proposed based on quadratic inference functions with two penalty function terms. The proposed method can not only handle the measurement errors of covariates and within-subject correlations but also estimate and select significant non-zero parametric and nonparametric components simultaneously. With some regularization conditions, the resulting estimators of parameters are asymptotically normal and the estimators of nonparametric varying coefficient achieves the optimal convergence rate. Furthermore, we present simulation studies and a real example analysis to evaluate the finite sample performance of the proposed method.

Date: 2023
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DOI: 10.1080/02664763.2021.1904847

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