Functional data analysis
From MaRDI portal
Publication:1362464
zbMath0882.62002MaRDI QIDQ1362464
Bernhard W. Silverman, James O. Ramsay
Publication date: 4 August 1997
Published in: Springer Series in Statistics (Search for Journal in Brave)
smoothinglinear differential operatorscanonical correlationcurve registrationfunctional principal components analysis
Factor analysis and principal components; correspondence analysis (62H25) Research exposition (monographs, survey articles) pertaining to statistics (62-02)
Related Items
Weak convergence of discretely observed functional data with applications, Consistent variable selection for functional regression models, On the asymptotics of random forests, A Bayesian approach for determining the optimal semi-metric and bandwidth in scalar-on-function quantile regression with unknown error density and dependent functional data, Plug-in prediction intervals for a special class of standard ARH(1) processes, A semiparametric factor model for CDO surfaces dynamics, Shape classification based on interpoint distance distributions, Gap between orthogonal projectors -- application to stationary processes, On local asymptotic normality for functional autoregressive processes, Air quality parameters outliers detection using functional data analysis in the Langreo urban area (northern Spain), Principal points and elliptical distributions from the multivariate setting to the functional case, Influence of forecasting electricity prices in the optimization of complex hydrothermal systems, Consistency of the plug-in functional predictor of the Ornstein-Uhlenbeck process in Hilbert and Banach spaces, Polynomial spline estimation for partial functional linear regression models, Modeling and testing differential item functioning in unidimensional binary item response models with a single continuous covariate: a functional data analysis approach, On the kernel rule for function classification, The ARHD model, Regression models for functional data by reproducing kernel Hilbert spaces methods, Prediction in functional linear regression, Nonparametric kernel regression estimation for functional stationary ergodic data: Asymptotic properties, On the structure of the stochastic processes of mortgages in Spain, Supervised classification of diffusion paths, Pointwise and uniform moderate deviations for nonparametric regression function estimator on functional data, Spatial autoregressive and moving average Hilbertian processes, Analysis of multiple sclerosis lesions via spatially varying coefficients, On the optimal choice of the number of empirical Fourier coefficients for comparison of regression curves, Functional statistical techniques applied to vine leaf water content determination, Functional sufficient dimension reduction: convergence rates and multiple functional case, Local polynomial modelling of the conditional quantile for functional data, Quantiles for finite and infinite dimensional data, Continuous generalized Proceustes analysis, On properties of percentile bootstrap confidence intervals for prediction in functional linear regression, Empirical likelihood confidence intervals for nonparametric functional data analysis, Functional regression with repeated eigenvalues, On the asymptotic normality of kernel estimators of the long run covariance of functional time series, Structural test in regression on functional variables, Sieve M-estimator for a semi-functional linear model, Some theoretical properties of Silverman's method for smoothed functional principal component analysis, Testing model assumptions in functional regression models, Fuzzy data treated as functional data: a one-way ANOVA test approach, Spline confidence bands for functional derivatives, Degradation modeling applied to residual lifetime prediction using functional data analysis, Automated analysis of quantitative image data using isomorphic functional mixed models, with application to proteomics data, On prediction rate in partial functional linear regression, On spatial conditional mode estimation for a functional regressor, Support vector machines with applications, Weak consistency of the support vector machine quantile regression approach when covariates are functions, Local linear regression for functional data, Dimensionality reduction when data are density functions, Bayesian nonparametric modeling for functional analysis of variance, Nonparametric maximum likelihood estimation of randomly time-transformed curves, Analysis of spike train data: a multivariate mixed effects model for phase and amplitude, Automatic estimation procedure in partial linear model with functional data, An extension of Fisher's discriminant analysis for stochastic processes, Consistency of the regression estimator with functional data under long memory conditions, A Bayesian calibration approach to the thermal problem, Computational modeling issues and methods for the ``regulatory problem in engineering - solution to the thermal problem, Computational modeling issues and methods for the ``regulatory problem in engineering - solutions to the structural dynamics and static frame problems, Explaining functional principal component analysis to actuarial science with an example on vehicle insurance, Estimation in mixed-effects functional ANOVA models, \(L_1\)-penalization in functional linear regression with subgaussian design, Kernels, regularization and differential equations, Minimax prediction for functional linear regression with functional responses in reproducing kernel Hilbert spaces, Canonical correlation for stochastic processes, Integrated depth for measurable functions and sets, Asymptotic properties of a component-wise ARH(1) plug-in predictor, Some asymptotic theory for Silverman's smoothed functional principal components in an abstract Hilbert space, Rate of uniform consistency for a class of mode regression on functional stationary ergodic data, Curves discrimination: a nonparametric functional approach, An ANOVA test for functional data, PLS regression on a stochastic process, A visual display device for significant features in complicated signals, Clusterwise PLS regression on a stochastic process, Curve forecasting by functional autoregression, An improved method for generalized constrained canonical correlation analysis, Free Pick functions: representations, asymptotic behavior and matrix monotonicity in several noncommuting variables, Sparse clustering of functional data, Agnostic science. Towards a philosophy of data analysis, Nonparametric time series forecasting with dynamic updating, Functional data analysis for clients segmentation tasks, Functional experiment design for the analysis of colour changes in granite using new functional colour coordinates, Evaluation of reproducibility for paired functional data, Rates of strong consistencies of the regression function estimator for functional stationary ergodic data, Bootstrap in functional linear regression, Functional linear regression analysis for longitudinal data, Bandwidth-based nonparametric inference, On the decay rate of Chebyshev coefficients, Gaussian tree constraints applied to acoustic linguistic functional data, On the CLT for discrete Fourier transforms of functional time series, Rank test for heteroscedastic functional data, Purchase timing models in marketing: a review, Functional data analysis for volatility, Functional regression of continuous state distributions, An angle-based multivariate functional pseudo-depth for shape outlier detection, Penalized estimation in additive varying coefficient models using grouped regularization, The structured elastic net for quantile regression and support vector classification, Spline estimator for simultaneous variable selection and constant coefficient identification in high-dimensional generalized varying-coefficient models, Nonparametric and semiparametric compound estimation in multiple covariates, Sparse estimation in functional linear regression, General linear mixed model and signal extraction problem with constraint, Trimmed means for functional data, Three-way component analysis with smoothness constraints., Spline estimation of conditional quantities for functional covariates, A canonical correlation neural network for multicollinearity and functional data, A survey of functional principal component analysis, Matrices with special reference to applications in psychometrics, Multivariate local fitting with general basic functions, Regression operator estimation by delta-sequences method for functional data and its applications, Multivariate functional response regression, with application to fluorescence spectroscopy in a cervical pre-cancer study, Robust shrinkage estimation and selection for functional multiple linear model through LAD loss, Editorial: The third special issue on advances in mixture models, Mixtures of spatial spline regressions for clustering and classification, Validation of community robustness, The impact of special days in call arrivals forecasting: a neural network approach to modelling special days, New asymptotic results in principal component analysis, Kernel spatial density estimation in infinite dimension space, Repeated measures analysis for functional data, Modèle à indice fonctionnel simple. (Single functional index model), Computer experiments with functional inputs and scalar outputs by a norm-based approach, Segmental dynamic factor analysis for time series of curves, Curse of dimensionality and related issues in nonparametric functional regression, Modeling temporal gradients in regionally aggregated California asthma hospitalization data, Wavelet methods for continuous-time prediction using Hilbert-valued autoregressive processes, The functional nonparametric model and applications to spectrometric data, Adaptive linear and normalized combination of radial basis function networks for function approximation and regression, Large and moderate deviations for infinite-dimensional autoregressive processes., Automatic variable selection for partially linear functional additive model and its application to the Tecator data set, Construction of three-dimensional orthogonal surface basis functions and well-conditioned boundary traction vector estimation., Methods of canonical analysis for functional data., A general projection framework for constrained smoothing., Improving time series similarity measures by integrating preprocessing steps, Simultaneous inference for the mean of repeated functional data, Dimension reduction in functional regression with applications, Modelling the mean of a doubly stochastic Poisson process by functional data analysis, Estimation in covariate-adjusted regression, Simultaneous curve registration and clustering for functional data, Bayesian inference for the hazard term structure with functional predictors using Bayesian predictive information criteria, Functional modelling of volatility in the Swedish limit order book, Structural components in functional data, Local smoothing regression with functional data, Functional \(k\)-sample problem when data are density functions, Functional estimation incorporating prior correlation information, Functional data analytic approach of modeling ECG T-wave shape to measure cardiovascular behavior, Functional multi-layer perceptron: A nonlinear tool for functional data analysis, Consistent estimation of the parameters of a nonlinear model for randomly discretized functional samples., Kernel density estimator in an infinite-dimensional space with a rate of convergence in the case of diffusion process., Functional classification of ornamental stone using machine learning techniques, Some laws of the iterated logarithm in Hilbertian autoregressive models, Weak convergence for the covariance operators of a Hilbertian linear process., Shape functional optimization with restrictions boosted with machine learning techniques, Application of the empirical characteristic function to compare and estimate densities by pooling information, Testing for lack of dependence between functional variables, Fractals with point impact in functional linear regression, Quantization and clustering with Bregman divergences, High-throughput data analysis in behavior genetics, Wavelet modeling of functional random effects with application to human vision data, Estimating some characteristics of the conditional distribution in nonparametric functional models, Methodology and convergence rates for functional linear regression, Kernel regression estimation in a Banach space, On depth measures and dual statistics. A methodology for dealing with general data, Optimal classification for time-course gene expression data using functional data analysis, Efficient estimation of the mode of continuous multivariate data, On the use of the bootstrap for estimating functions with functional data, Functional linear model, A generalized \(L^1\)-approach for a kernel estimator of conditional quantile with functional regressors: consistency and asymptotic normality, Nonlinear measures of association with kernel canonical correlation analysis and applications, Functional principal component analysis via regularized Gaussian basis expansions and its application to unbalanced data, Functional canonical analysis for square integrable stochastic processes, The computational order of a DACE dynamical model, Modeling dichotomous item responses with free-knot splines, Statistics for functional data, Estimation and inference in functional mixed-effects models, Smoothing splines estimators in functional linear regression with errors-in-variables, On the using of modal curves for radar waveforms classification, Penalized solutions to functional regression problems, Classifying densities using functional regression trees: applications in oceanology, Model-based clustering for longitudinal data, Bootstrap confidence intervals for principal response curves, Classification of gene functions using support vector machine for time-course gene expression data, Selection of components and degrees of smoothing via Lasso in high dimensional nonparametric additive models, Kriging by local polynomials., Properties of design-based functional principal components analysis, Estimation of a change-point in the mean function of functional data, Kernel-based functional principal components, Rate of uniform consistency for nonparametric estimates with functional variables, Optimal tests for the general two-sample problem, Measures of influence for the functional linear model with scalar response, Testing the stability of the functional autoregressive process, Cokriging for spatial functional data, Functional nonparametric estimation of conditional extreme quantiles, Inference under functional proportional and common principal component models, Estimation of the regression operator from functional fixed-design with correlated errors, Robust principal component analysis for functional data. (With comments), Forecasting with unequally spaced data by a functional principal component approach, Semi-parametric classification of noisy curves, Density estimation in an infinite dimensional space: Application to diffusion processes, Nonparametric regression for mixing functional random variables, Functional data analysis of the dynamics of the monthly index of nondurable goods production., Perturbation of functional tensors with applications to covariance operators., Kernel regression estimation when the regressor takes values in metric space, Differential equation models for statistical functions, Functional Linear Regression Analysis Based on Partial Least Squares and Its Application, A clustering approach to detect multiple outliers in linear functional relationship model for circular data, Statistical regression analysis of functional and shape data, Inference from heteroscedastic functional data, Using Image and Curve Registration for Measuring the Goodness of Fit of Spatial and Temporal Predictions, Linear functional regression: The case of fixed design and functional response, A similarity analysis of curves, Projection-based curve clustering, Large sample properties and confidence bands for component-wise varying-coefficient regression with longitudinal dependent variable, Monte Carlo Simulation on the Stiefel Manifold via Polar Expansion, Nonparametric models for functional data, with application in regression, time series prediction and curve discrimination, Density estimation by orthogonal series in an infinite dimensional space: Application to processes of diffusion type I, Estimation for a hybrid model of functional and linear measurement errors regression with missing response, The k nearest neighbors smoothing of the relative-error regression with functional regressor, Test for the parametric part in partial functional linear regression based on B-spline, On nonparametric classification for weakly dependent functional processes, The investigation of temperature data in Turkey’s Black Sea Region using functional data analysis, Bayesian Analysis of Mass Spectrometry Proteomic Data Using Wavelet-Based Functional Mixed Models, Unnamed Item, Alternative Penalty Functions for Penalized Likelihood Principal Components, Comments on «Wavelets in statistics: A review» by A. Antoniadis, Spatio-temporal functional regression on paleoecological data, Hierarchical Bayesian models for predicting spatially correlated curves, Order‐Preserving Dimension Reduction Procedure for the Dominance of Two Mean Curves with Application to Tidal Volume Curves, Classification of biomedical signals for differential diagnosis of Raynaud's phenomenon, Statistical models for disaggregation and reaggregation of natural gas consumption data, Smoothed functional canonical correlation analysis of humidity and temperature data, Uncertainty in functional principal component analysis, Multicovariate-adjusted regression models, Anticipated and Adaptive Prediction in Functional Discriminant Analysis, Discrete functional data analysis, Forecasting PC-ARIMA Models for Functional Data, Varying Coefficient Model with Unknown Within‐Subject Covariance for Analysis of Tumor Growth Curves, Incorporating Marginal Covariate Information in a Nonparametric Regression Model for a Sample of R×C Tables, Functional Principal Component Modelling of the Intensity of a Doubly Stochastic Poisson Process, Empirical likelihood inference for partial functional linear model with missing responses, Two Samples Tests for Functional Data, Quantile regression when the covariates are functions, Using semiparametric‐mixed model and functional linear model to detect vulnerable prenatal window to carcinogenic polycyclic aromatic hydrocarbons on fetal growth, A Bayesian Hierarchical Model for Classification with Selection of Functional Predictors, Functional Quasi-Likelihood Regression Models with Smooth Random Effects, Generalized Linear Models with Functional Predictors, Discriminant Analysis of Event‐Related Potential Curves Using Smoothed Principal Components, Nonparametric Density Estimation for Functional Data via Wavelets, Finite-sample consistency of combination-based permutation tests with application to repeated measures designs, Self-Modelling Warping Functions, A scale-space approach with wavelets to singularity estimation, A Semiparametric Binary Regression Model Involving Monotonicity Constraints, Multilayer Perceptron with Functional Inputs: an Inverse Regression Approach, Functional approaches for predicting land use with the temporal evolution of coarse resolution remote sensing data, A functional data-analytic approach to the classification of species according to their spatial dispersion. Application to a marine macrobenthic community from the Bay of Morlaix (Western English Channel), Adaptive Varying-Coefficient Linear Models, Estimation of torsion, Penalized Spline Models for Functional Principal Component Analysis, On Properties of Functional Principal Components Analysis, Gaussian Process Functional Regression Modeling for Batch Data, Nonparametric Estimation and Testing in Panels of Intercorrelated Time Series, An optimal linear time algorithm for quasi-monotonic segmentation1, Functional support vector machines and generalized linear models for glacier geomorphology analysis, Functional linear regression with derivatives, Independent Component Analysis of Functional Magnetic Resonance Imaging Data Using Wavelet Dictionaries, A Bayesian Model for Sparse Functional Data, Bayesian Hierarchical Spatially Correlated Functional Data Analysis with Application to Colon Carcinogenesis, Unnamed Item, Unnamed Item, The effect of pre-smoothing functional data on cluster analysis, Two‐Stage Functional Mixed Models for Evaluating the Effect of Longitudinal Covariate Profiles on a Scalar Outcome, The permutation testing approach: a review, Time-Varying Functional Regression for Predicting Remaining Lifetime Distributions from Longitudinal Trajectories, k-Nearest Neighbour method in functional nonparametric regression, Functional Modelling and Classification of Longitudinal Data*, PCA-based dimension reduction for splines, Principal differential analysis with a continuous covariate: low-dimensional approximations for functional data, Estimating life expectancy of demented and institutionalized subjects from interval-censored observations of a multi-state model, Functional sliced inverse regression analysis, Longitudinal functional models with structured penalties, Multi-class classification of biomechanical data: A functional LDA approach based on multi-class penalized functional PLS, Panel Data Analysis via Mechanistic Models, Empirical likelihood for high-dimensional partially functional linear model, On clustering shape data, The historical functional linear model, Testing for No Effect in Functional Linear Regression Models, Some Computational Approaches, Re-weighting estimation of the coefficients in the varying coefficient model with heteroscedastic errors, Testing Hypotheses in the Functional Linear Model, Unsupervised Curve Clustering using B‐Splines, Block empirical likelihood for longitudinal partially linear regression models, Generalized Monotonic Functional Mixed Models with Application to Modelling Normal Tissue Complications, Cross-validated estimations in the single-functional index model, Advances on asymptotic normality in non-parametric functional time series analysis, The Analysis of Longitudinal Data Using Mixed Model L‐Splines, The Clustering of Regression Models Method with Applications in Gene Expression Data, Functional Hierarchical Models for Identifying Genes with Different Time‐Course Expression Profiles, Wavelet-based Functional Mixed Models, Free-Knot Spline Smoothing for Functional Data, Assessing the Finite Dimensionality of Functional Data, Aspects of prediction, Nonlinear preservers problem of complex symmetric operators, On rank distribution classifiers for high-dimensional data, Nonparametric regression method with functional covariates and multivariate response, Sparse estimation within Pearson's system, with an application to financial market risk, Functional additive models for optimizing individualized treatment rules, Modern nonlinear function-on-function regression, Quasiaffine transforms of Hilbert space operators, Functional data analysis of the relationship between electricity consumption and climate change drivers, Statistical inference of varying-coefficient partial functional spatial autoregressive model, Approximation of nonlinear functionals using deep ReLU networks, Nonlinear Functional Modeling Using Neural Networks, A spectral dichotomy for commuting \(m\)-isometries with negative core operator, Optimal control, statistics and path planning, Extended Gauss-Markov theorem for nonparametric mixed-effects models, Smoothed average variance estimation for dimension reduction with functional data, Simultaneous Selection of Features and Metric for Optimal Nearest Neighbor Classification, Description length and dimensionality reduction in functional data analysis, Comparison of GPS observations made in a forestry setting using functional data analysis, Deep coregionalization for the emulation of simulation-based spatial-temporal fields, A NEW PANEL DATA TREATMENT FOR HETEROGENEITY IN TIME TRENDS, Consistency of modified kernel regression estimation for functional data, SiZer Inference for Varying Coefficient Models, Ordinal probit functional outcome regression with application to computer-use behavior in rhesus monkeys, Prediction theory for stationary functional time series, Multivariate nonparametric test of independence, Uniform in bandwidth rate of convergence of the conditional mode estimate on functional stationary ergodic data, Parameter Estimation in Stochastic Differential Equations, Functional data analysis in electronic commerce research, Modeling on-line art auction dynamics using functional data analysis, Regularized Posteriors in Linear Ill-Posed Inverse Problems, Semiparametric factor analysis for item-level response time data, Statistical inferences for functional data, Generalized functional linear models, Nonparametric regression for functional data: automatic smoothing parameter selection, Minimax estimation of linear functionals under squared error loss, OODA of graph and tree-structured data, A pathway EM-algorithm for estimating vaccine efficacy with a non-monotone validation set, Varying-coefficient partially functional linear quantile regression models, Regularized partially functional quantile regression, A class of functional partially linear single-index models, Point separation in logistic regression on Hilbert space-valued variables, Asymptotic properties of principal component projections with repeated eigenvalues, A note on repeated measures analysis for functional data, Functional data clustering via hypothesis testing \(k\)-means, Rank dynamics for functional data, Classification rules based on distribution functions of functional depth, Contributions of spatial point process modelling to biodiversity theory, Computing functional estimators of spatiotemporal long-range dependence parameters in the spectral-wavelet domain, Statistical inference for the functional quadratic quantile regression model, Parameter estimation of ODE's via nonparametric estimators, Semiparametric regression during 2003--2007, A note on exponential inequalities in Hilbert spaces for spatial processes with applications to the functional kernel regression model, Functional principal components analysis by choice of norm, Analysis of non-stationary dynamics in the financial system, Synchronizing sample curves nonparametrically, The M-estimator for functional linear regression model, Nonparametric estimation of correlation functions in longitudinal and spatial data, with application to colon carcinogenesis experiments, Clustering of time-course gene expression data using functional data analysis, Functional data analysis for cash flow and transactions intensity continuous-time prediction using Hilbert-valued autoregressive processes, Determining vine leaf water stress by functional data analysis, A tutorial on kernel methods for categorization, Evaluating fit in functional data analysis using model embeddings, Functional Analysis of Variance, Discriminant Analysis, and Clustering in a Manifold of Elastic Curves, On rates of convergence in functional linear regression, Estimation in multiple linear regression Berkson model for processes with uncorrelated incre\-ments, Functional approach of flexibly modelling generalized longitudinal data and survival time, Adaptive spline fitting with particle swarm optimization, No effect tests in regression on functional variable and some applications to spectrometric studies, Nonparametric regression estimation for dependent functional data: asymptotic normality, Estimation in generalized linear models for functional data via penalized likelihood, A multivariate reduced-rank growth curve model with unbalanced data, Sensitivity analysis in functional principal component analysis, Sieves estimator of the operator of a functional autoregressive process, Varying coefficient functional autoregressive model with application to the U.S. treasuries, A note on the cross-covariance operator and on congruence relations for Hilbert space valued stochastic processes, Crisp and fuzzy k-means clustering algorithms for multivariate functional data, A parametric \(k\)-means algorithm, Partial functional linear regression, A novel Bayesian framework for relevance feedback in image content-based retrieval systems, Nonparametric M-estimation for functional stationary ergodic data, Nonparametric regression estimation onto a Poisson point process covariate, Nonparametric Statistics and High/Infinite Dimensional Data, Statistical issues in studies of the long-term effects of air pollution: the Southern California Children's Health Study (with comments and rejoinder), Kernel smoothers: an overview of curve estimators for the first graduate course in nonparametric statistics, Admissibility results under some balanced loss functions for a functional regression model, Testing in mixed-effects FANOVA models, Strong uniform consistency rates of conditional quantile estimation in the single functional index model under random censorship, Discussion: Forecasting functional time series, Complex symmetric operators and additive preservers problem, Functional linear regression for functional response via sparse basis selection, Fourier analysis associated to a vector measure on a compact group, Estimation of the autoregressive operator by wavelet packets, Nonparametric Mixed Effects Models for Unequally Sampled Noisy Curves, Functional Mixed Effects Models, Dynamic Conditionally Linear Mixed Models for Longitudinal Data, Shrinkage Estimation for Functional Principal Component Scores with Application to the Population Kinetics of Plasma Folate, On principal components regression with Hilbertian predictors, Local Weighted Average Estimation of the Regression Operator for Functional Data, A group comparison in fMRI data using a semiparametric model under shape invariance, A comparison of testing methods in scalar-on-function regression, Tangent functional canonical correlation analysis for densities and shapes, with applications to multimodal imaging data, Bayesian multivariate sparse functional principal components analysis with application to longitudinal microbiome multiomics data, Arens regularity and point Arens regularity of semigroup algebras, Automatic smoothing parameter selection for the nonparametric regression estimation of functional data., Estimation and simulation of autoregressive Hilbertian processes with exogenous variables, Integral least-squares inferences for semiparametric models with functional data, Time-varying functional principal components for non-stationary \(\text{EpCO}_2\) in freshwater systems, Statistical analysis on high-dimensional spheres and shape spaces, Valuation of large variable annuity portfolios under nested simulation: a functional data approach, Statistical inference for the slope parameter in functional linear regression, Nonparametric regression estimation for functional stationary ergodic data with missing at random, Generalized functional extended redundancy analysis, A conformal prediction approach to explore functional data, Structurally stable families of periodic solutions in sweeping processes of networks of elastoplastic springs, Vector-on-function quantile regression for stationary ergodic processes
Uses Software