Nonlinear mixed effects modeling and warping for functional data using B-splines

DOI10.1214/21-EJS1917zbMath1493.62113OpenAlexW3207190387MaRDI QIDQ2074289

Emilie Devijver, Gerda Claeskens, Irène Gijbels

Publication date: 9 February 2022

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/electronic-journal-of-statistics/volume-15/issue-2/Nonlinear-mixed-effects-modeling-and-warping-for-functional-data-using/10.1214/21-EJS1917.full

zbMATH Keywords

random effectswarping functionB-spline approximationphase and amplitude variationnonlinear functional modeling

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Functional data analysis (62R10)

Uses Software

• fda (R)
• fdasrvf

Cites Work

• Generative models for functional data using phase and amplitude separation
• Analysis of spike train data: a multivariate mixed effects model for phase and amplitude
• Bayesian registration of functions and curves
• Non parametric estimation of the structural expectation of a stochastic increasing function
• \(k\)-mean alignment for curve clustering
• Statistical tools to analyze data representing a sample of curves
• Alignment of curves by dynamic time warping
• Applied functional data analysis. Methods and case studies
• Functional data analysis of amplitude and phase variation
• Identifiability of linear mixed effects models
• Functional registration and local variations: identifiability, rank, and tuning
• Nonparametric registration to low-dimensional function spaces
• Fréchet means of curves for signal averaging and application to ECG data analysis
• Functional data analysis.
• Nonparametric functional data analysis. Theory and practice.
• Warped functional analysis of variance
• Functional Mixed Effects Models
• A Penalized Spline Approach to Functional Mixed Effects Model Analysis
• Simultaneous Registration and Clustering for Multidimensional Functional Data
• A Multiresolution Approach to Time Warping Achieved by a Bayesian Prior–Posterior Transfer Fitting Strategy
• Self-Modelling Warping Functions
• A Functional Data Analysis of the Pinch Force of Human Fingers
• Registration for exponential family functional data
• Warped functional regression
• Clustering multivariate functional data with phase variation
• Asymptotic Properties of Non-Linear Least Squares Estimators
• Cross‐component registration for multivariate functional data, with application to growth curves