ArticleAnnals of statistics2012
MULTIVARIATE VARYING COEFFICIENT MODEL FOR FUNCTIONAL RESPONSES.
Article in Annals of statistics, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 35 papers.
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Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
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Who cites it
35 citing papers in PubMed.
- Computation and resource efficient genome-wide association analysis for large-scale imaging studies.Nature communications · 2026Article
- Computation and resource efficient genome-wide association analysis for large-scale imaging studies.medRxiv : the preprint server for health sciences · 2025Article
- STATISTICAL INFERENCE FOR MEAN FUNCTIONS OF COMPLEX 3D OBJECTS.Statistica Sinica · 2025Article
- Multivariate varying coefficient spatiotemporal model.Statistics in biosciences · 2024Article
- Article
- Competing Risk Modeling with Bivariate Varying Coefficients to Understand the Dynamic Impact of COVID-19.Journal of computational and graphical statistics : a joint publication of American Statistical Association, Institute of Mathematical Statistics, Interface Foundation of North America · 2024Article
- A nonparametric test of group distributional differences for hierarchically clustered functional data.Biometrics · 2023Article
- Statistical Learning Methods for Neuroimaging Data Analysis with Applications.Annual review of biomedical data science · 2023Review
- Semiparametric function-on-function quantile regression model with dynamic single-index interactions.Computational statistics & data analysis · 2023Article
- Estimation for the bivariate quantile varying coefficient model with application to diffusion tensor imaging data analysis.Biostatistics (Oxford, England) · 2023Article
- Testing Linear Operator Constraints in Functional Response Regression with Incomplete Response Functions.Electronic journal of statistics · 2023Article
- Functional hybrid factor regression model for handling heterogeneity in imaging studies.Biometrika · 2022Article
- DADP: Dynamic abnormality detection and progression for longitudinal knee magnetic resonance images from the Osteoarthritis Initiative.Medical image analysis · 2022Article
- REGION-REFERENCED SPECTRAL POWER DYNAMICS OF EEG SIGNALS: A HIERARCHICAL MODELING APPROACH.The annals of applied statistics · 2020Article
- Surface Functional Models.Journal of multivariate analysis · 2020Article
- Simultaneous confidence corridors for mean functions in functional data analysis of imaging data.Biometrics · 2020Article
- Fast Covariance Estimation for Multivariate Sparse Functional Data.Stat (International Statistical Institute) · 2020Article
- Incorporating spatial-anatomical similarity into the VGWAS framework for AD biomarker detection.Bioinformatics (Oxford, England) · 2019Article
- Minimally Invasive Approach for Diagnosing TMJ Osteoarthritis.Journal of dental research · 2019Article
- FMEM: Functional Mixed Effects Models for Longitudinal Functional Responses.Statistica Sinica · 2019Article
Corrections and comments
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Authors and funding
3 authors.
Funding
Abstract
Motivated by recent work studying massive imaging data in the neuroimaging literature, we propose multivariate varying coefficient models (MVCM) for modeling the relation between multiple functional responses and a set of covariates. We develop several statistical inference procedures for MVCM and systematically study their theoretical properties. We first establish the weak convergence of the local linear estimate of coefficient functions, as well as its asymptotic bias and variance, and then we derive asymptotic bias and mean integrated squared error of smoothed individual functions and their uniform convergence rate. We establish the uniform convergence rate of the estimated covariance function of the individual functions and its associated eigenvalue and eigenfunctions. We propose a global test for linear hypotheses of varying coefficient functions, and derive its asymptotic distribution under the null hypothesis. We also propose a simultaneous confidence band for each individual effect curve. We conduct Monte Carlo simulation to examine the finite-sample performance of the proposed procedures. We apply MVCM to investigate the development of white matter diffusivities along the genu tract of the corpus callosum in a clinical study of neurodevelopment.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.