Latent deformation models for multivariate functional data and time‐warping separability

• Published in: Biometrics Vol. 79; no. 4; pp. 3345 - 3358
• Main Authors: Carroll, Cody, Müller, Hans‐Georg
• Format: Journal Article
• Language: English
• Published: United States Blackwell Publishing Ltd 01.12.2023
• Subjects: component processes; cross‐component registration; Deformation; Error analysis; functional data analysis; Functionals; Growth curves; Human growth; Humans; longitudinal studies; Multivariate analysis; multivariate functional data; Phase variations; pollution; Time; time warping; Trajectory analysis; vector data; Warping; functional data analysis; cross-component registration; time warping; component processes; multivariate functional data; longitudinal studies

Multivariate functional data present theoretical and practical complications that are not found in univariate functional data. One of these is a situation where the component functions of multivariate functional data are positive and are subject to mutual time warping. That is, the component process...