Functional principal component analysis estimator for non-Gaussian data. Issue 13 (2nd September 2022)

• Record Type: Journal Article
• Authors: Zhong, Rou; Liu, Shishi; Li, Haocheng; Zhang, Jingxiao
• Is Part Of: Journal of statistical computation and simulation. Volume 92:Issue 13(2022)
• Page Start: 2788
• Page End: 2801
• Publication Date: 2022-09-02
• Subjects: Functional data analysis -- functional principal component analysis -- non-Gaussian data -- Kendall's τ function; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5028505
• DOI: 10.1080/00949655.2022.2048302
• Languages: English
• ISSNs: 0094-9655

Abstract

Abstract : Functional principal component analysis (FPCA) could become invalid when data involve non-Gaussian features. Therefore, we aim to develop a general FPCA method that can adapt to such non-Gaussian cases. A Kendall's τ function, which possesses identical eigenfunctions as covariance function, is constructed. The particular formulation of Kendall's τ function makes it less sensitive to data distribution. We further apply it to the estimation of FPCA and study the corresponding asymptotic consistency. Moreover, the effectiveness of the proposed method is demonstrated through a comprehensive simulation study and an application to the physical activity data that collected by a wearable accelerometer monitor.