Functional Additive Mixed Models
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Summary
An extensive framework for additive regression models for correlated functional responses, allowing for multiple partially nested or crossed functional random effects with flexible correlation structures for, for example, spatial, temporal, or longitudinal functional data is proposed.
- Type
- article
- Published
- 2012-07-25
- Cited by
- 259
- References
- 83
- Access
- Open access
- OpenAlex
- https://openalex.org/W2013365346
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:30260992
Keywords
Functional principal component analysis, Interpretability, Functional data analysis, Computer science, Flexibility (engineering)
References
- refund: Regression with Functional Data
- Spline Estimator for the Functional Linear Regression with Functional Response
- Recent Advances in Functional Data Analysis and Related Topics
- Nonparametric Functional Data Analysis: Theory and Practice
- Longitudinal Penalized Functional Regression for Cognitive Outcomes on Neuronal Tract Measurements
- Statistical Computing in Functional Data Analysis: The R Package fda.usc
- Identifiability in penalized function-on-function regression models
- parfm: Parametric Frailty Models in R
- Estimation and testing for spatially indexed curves with application to ionospheric and magnetic field trends
- Low‐Rank Scale‐Invariant Tensor Product Smooths for Generalized Additive Mixed Models
- Bayesian Adaptive Regression Splines for Hierarchical Data
- Robust, Adaptive Functional Regression in Functional Mixed Model Framework
- Longitudinal functional principal component analysis
- Functional Generalized Additive Models
- Generalized Additive Models: An Introduction With R
- MULTILEVEL FUNCTIONAL PRINCIPAL COMPONENT ANALYSIS
- Statistics for spatial functional data: some recent contributions
- Continuous Time-Varying Kriging for Spatial Prediction of Functional Data: An Environmental Application
- Stable and Efficient Multiple Smoothing Parameter Estimation for Generalized Additive Models
- Fiber Tracking from DTI Using Linear State Space Models: Detectability of the Pyramidal Tract
Cited by
- The Use of Functional Data Analysis to Evaluate Activity in a Spontaneous Model of Degenerative Joint Disease Associated Pain in Cats
- Additive Function-on-Function Regression
- Generalized Functional Additive Mixed Models
- Bootstrap based uncertainty bands for prediction in functional kriging
- Functional CAR models for large spatially correlated functional datasets
- Longitudinal Functional Data Analysis
- Identifiability in penalized function-on-function regression models
- Assessing systematic effects of stroke on motorcontrol by using hierarchical function-on-scalar regression
- Estimator selection and combination in scalar-on-function regression
- Penalized function-on-function regression
- The functional linear array model
- Estimating Variance Components in Functional Linear Models With Applications to Genetic Heritability
- Nonparametric inference in hidden Markov models using P‐splines
- Bayesian Function-on-Function Regression for Multilevel Functional Data
- An introduction to recent advances in high/infinite dimensional statistics
- Functional linear mixed models for irregularly or sparsely sampled data
- Twenty years of P-splines
- Minimax wavelet estimation for multisample heteroscedastic nonparametric regression
- Interactive graphics for functional data analyses
- Estimating functional linear mixed-effects regression models
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