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Principal Investigator  
Principal Investigator's Name: Lixia Hu
Institution: Shanghai Lixin University of Accounting and Finance
Department: 统计和数学学院
Country:
Proposed Analysis: Zhang and Wang proposed a novel flexible nonparametric regression method, called varying-coefficient additive models (VCAMs) in the analysis of functional data.In this paper, we consider a mixed-effect semi-VCAM, which accommodates categorical covariates and accounts for the within subject correlation for sparse or dense longitudinal data. An iterative local linear smoothing method is proposed to estimate the varying-coefficient component functions and additive component functions, respectively. To avoid the subjective choice between sparse and dense case, we establish the asymptotic theorems of the newly-proposed estimators in a unified framework of sparse and dense longitudinal data. Furthermore, we construct consistent tests to justify whether an additive model or a varying coefficient model is enough for the real application at hand. Extensive simulation studies investigating the finite-sample performance of the proposed method further confirms our asymptotic results.We also illustrate our method via ANDI real-life examples http://ida.loni.ucla.edu/.
Additional Investigators