From multivariate to functional data analysis: fundamentals, recent developments, and emerging areas

DOI10.1016/j.jmva.2021.104806zbMath1493.62643OpenAlexW3195215700MaRDI QIDQ2062763

Yuhang Xu, Yehua Li, Yumou Qiu

Publication date: 3 January 2022

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2021.104806

zbMATH Keywords

spatial dependencefunctional data analysishigh-dimensional statisticsmulti-level modeling

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Functional data analysis (62R10)

Related Items (1)

Functional classification of bitcoin addresses

Uses Software

• fda (R)
• SemiPar
• glmnet
• spBayes
• flm

Cites Work

• Feature screening for time-varying coefficient models with ultrahigh-dimensional longitudinal data
• Nearly unbiased variable selection under minimax concave penalty
• Fréchet regression for random objects with Euclidean predictors
• The Adaptive Lasso and Its Oracle Properties
• Kriging for Hilbert-space valued random fields: the operatorial point of view
• From sparse to dense functional data and beyond
• Inference for functional data with applications
• Estimation and testing for spatially indexed curves with application to ionospheric and magnetic field trends
• The function-on-scalar LASSO with applications to longitudinal GWAS
• Statistics for high-dimensional data. Methods, theory and applications.
• Uniform convergence rates for nonparametric regression and principal component analysis in functional/longitudinal data
• Empirical dynamics for longitudinal data
• Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference
• Prediction in functional linear regression
• Weakly dependent functional data
• Multilevel functional principal component analysis
• Cokriging for spatial functional data
• Asymptotic maximal deviation of M-smoothers
• What factors drive the price-rent ratio for the housing market? A modified present-value analysis
• Simultaneous variable selection and smoothing for high-dimensional function-on-scalar regression
• Simultaneous inference for the mean of repeated functional data
• Functional canonical analysis for square integrable stochastic processes
• Generalized likelihood ratio statistics and Wilks phenomenon
• Least angle regression. (With discussion)
• Principal component analysis for functional data on Riemannian manifolds and spheres
• Adaptive function-on-scalar regression with a smoothing elastic net
• Nonlinear functional canonical correlation analysis via distance covariance
• Canonical correlation analysis for irregularly and sparsely observed functional data
• Simultaneous confidence band for stationary covariance function of dense functional data
• A simultaneous confidence corridor for varying coefficient regression with sparse functional data
• Nonstationary multivariate process modeling through spatially varying coregionalization
• Regularized partially functional quantile regression
• A functional data analysis approach for genetic association studies
• Nonparametric estimation of correlation functions in longitudinal and spatial data, with application to colon carcinogenesis experiments
• On rates of convergence in functional linear regression
• Functional data analysis.
• Estimation in generalized linear models for functional data via penalized likelihood
• Properties of principal component methods for functional and longitudinal data analysis
• Nonlinear and additive principal component analysis for functional data
• Space-time Multi Type Log Gaussian Cox Processes with a View to Modelling Weeds
• Spatiotemporal Prediction for Log-Gaussian Cox Processes
• A unified variable selection approach for varying coefficient models
• Modeling Functional Data with Spatially Heterogeneous Shape Characteristics
• Generalized Multilevel Functional Regression
• Optimal Penalized Function-on-Function Regression Under a Reproducing Kernel Hilbert Space Framework
• Joint modelling of paired sparse functional data using principal components
• Fast methods for spatially correlated multilevel functional data
• Wavelet-based Functional Mixed Models
• Generalized multilevel function‐on‐scalar regression and principal component analysis
• Oracle-Efficient Confidence Envelopes for Covariance Functions in Dense Functional Data
• Hierarchical functional data with mixed continuous and binary measurements
• Structured functional principal component analysis
• Modelling Sparse Generalized Longitudinal Observations with Latent Gaussian Processes
• Log Gaussian Cox Processes
• The ECME algorithm: A simple extension of EM and ECM with faster monotone convergence
• Non‐ and semi‐parametric estimation of interaction in inhomogeneous point patterns
• Semiparametric Regression
• Wavelet-Based Nonparametric Modeling of Hierarchical Functions in Colon Carcinogenesis
• Smoothing Spline Models for the Analysis of Nested and Crossed Samples of Curves
• Derivative Principal Components for Representing the Time Dynamics of Longitudinal and Functional Data
• Unified Empirical Likelihood Ratio Tests for Functional Concurrent Linear Models and the Phase Transition from Sparse to Dense Functional Data
• Introduction to Functional Data Analysis
• Multilevel Functional Clustering Analysis
• On a Principal Varying Coefficient Model
• Nested Hierarchical Functional Data Modeling and Inference for the Analysis of Functional Plant Phenotypes
• Feature Selection for Varying Coefficient Models With Ultrahigh-Dimensional Covariates
• Spatially Varying Coefficient Model for Neuroimaging Data With Jump Discontinuities
• Functional Principal Component Analysis of Spatiotemporal Point Processes With Applications in Disease Surveillance
• Joint models for grid point and response processes in longitudinal and functional data
• Estimation and Inference for Generalized Geoadditive Models
• Functional Graphical Models
• Partially Linear Functional Additive Models for Multivariate Functional Data
• Bayesian Semiparametric Functional Mixed Models for Serially Correlated Functional Data, With Application to Glaucoma Data
• Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators
• Statistics for Spatial Data
• Estimating Derivatives for Samples of Sparsely Observed Functions, With Application to Online Auction Dynamics
• On the Prediction of Stationary Functional Time Series
• Selecting the Number of Principal Components in Functional Data
• Multilevel Cross‐Dependent Binary Longitudinal Data
• Penalized Spline Models for Functional Principal Component Analysis
• On Properties of Functional Principal Components Analysis
• Spatio-temporal point processes, partial likelihood, foot and mouth disease
• Functional Data Analysis for Sparse Longitudinal Data
• Modeling and Regionalization of China’s PM_2.5 Using Spatial-Functional Mixture Models
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: From multivariate to functional data analysis: fundamentals, recent developments, and emerging areas