title: Cook's Distance Measures for Varying Coefficient Models with Functional Responses.
abstract: The aim of this paper is to develop Cook's distance measures for assessing the influence of both atypical curves and observations under varying coefficient model for functional responses. Our Cook's distance measures include Cook's distances for deleting multiple curves and for deleting multiple grid points, and their scaled Cook's distances. We systematically investigate some theoretical properties of these diagnostic measures. Simulation studies are conducted to evaluate the finite sample properties of these Cook's distances under different scenarios. A real diffusion tensor tract data set is analyzed to illustrate the use of our diagnostic measures.
authors.affiliation: Department of Statistics Nanjing Normal University Nanjing 210023, China.
authors.forename: Qibing
authors.initials: Q
authors.lastname: Gao
authors.affiliation: Department of Biostatistics and Biomedical Research Imaging Center University of North Carolina at Chapel Hill Chapel Hill, NC 27599, USA.
authors.forename: Mihye
authors.initials: M
authors.lastname: Ahn
authors.affiliation: Department of Biostatistics and Biomedical Research Imaging Center University of North Carolina at Chapel Hill Chapel Hill, NC 27599, USA.
authors.forename: Hongtu
authors.initials: H
authors.lastname: Zhu
keywords: Cook's distance; Scaled Cook's distance; Varying coefficient models