Model estimation and selection for partial linear varying coefficient EV models with longitudinal data. Issue 3 (17th February 2023)

• Record Type: Journal Article
• Authors: Zhao, Mingtao; Xu, Xiaoli; Zhu, Yanling; Zhang, Kongsheng; Zhou, Yan
• Is Part Of: Journal of applied statistics. Volume 50:Issue 3(2023)
• Page Start: 512
• Page End: 534
• Publication Date: 2023-02-17
• Subjects: Longitudinal data -- variable selection -- partial linear varying coefficient EV models -- quadratic inference function; Statistics -- Periodicals; 519.5
• DOI: 10.1080/02664763.2021.1904847
• Languages: English
• ISSNs: 0266-4763

Abstract

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.