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Properties of design-based functional principal components analysis [PDF]

open access: yesJournal of Statistical Planning and Inference, 2010
Revised version for J. of Statistical Planning and Inference (January 2009)
Cardot, Hervé   +3 more
openaire   +6 more sources

Multilevel functional principal component analysis

open access: yesThe Annals of Applied Statistics, 2009
Published in at http://dx.doi.org/10.1214/08-AOAS206 the Annals of Applied Statistics (http://www.imstat.org/aoas/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Di, Chong-Zhi   +3 more
openaire   +7 more sources

Adaptive functional principal components analysis

open access: yesJournal of the Royal Statistical Society Series B: Statistical Methodology, 2023
Abstract Functional data analysis almost always involves smoothing discrete observations into curves, because they are never observed in continuous time and rarely without error. Although smoothing parameters affect the subsequent inference, data-driven methods for selecting these parameters are not well-developed, frustrated by the ...
Wang, Sunny   +2 more
openaire   +4 more sources

COVID-19 Data Imputation by Multiple Function-on-Function Principal Component Regression

open access: yesMathematics, 2021
The aim of this paper is the imputation of missing data of COVID-19 hospitalized and intensive care curves in several Spanish regions. Taking into account that the curves of cases, deceases and recovered people are completely observed, a function-on ...
Christian Acal   +3 more
doaj   +1 more source

Localized Functional Principal Component Analysis [PDF]

open access: yesJournal of the American Statistical Association, 2015
We propose localized functional principal component analysis (LFPCA), looking for orthogonal basis functions with localized support regions that explain most of the variability of a random process. The LFPCA is formulated as a convex optimization problem through a novel deflated Fantope localization method and is implemented through an efficient ...
Chen, Kehui, Lei, Jing
openaire   +3 more sources

New Modeling Approaches Based on Varimax Rotation of Functional Principal Components

open access: yesMathematics, 2020
Functional Principal Component Analysis (FPCA) is an important dimension reduction technique to interpret the main modes of functional data variation in terms of a small set of uncorrelated variables.
Christian Acal   +2 more
doaj   +1 more source

Disjoint and Functional Principal Component Analysis for Infected Cases and Deaths Due to COVID-19 in South American Countries with Sensor-Related Data

open access: yesSensors, 2021
In this paper, we group South American countries based on the number of infected cases and deaths due to COVID-19. The countries considered are: Argentina, Bolivia, Brazil, Chile, Colombia, Ecuador, Peru, Paraguay, Uruguay, and Venezuela.
Carlos Martin-Barreiro   +4 more
doaj   +1 more source

Multi-dimensional functional principal component analysis [PDF]

open access: yesStatistics and Computing, 2016
Functional principal component analysis is one of the most commonly employed approaches in functional and longitudinal data analysis and we extend it to analyze functional/longitudinal data observed on a general $d$-dimensional domain. The computational issues emerging in the extension are fully addressed with our proposed solutions.
Chen, Lu-Hung, Jiang, Ci-Ren
openaire   +2 more sources

Interpretable Functional Principal Component Analysis

open access: yesBiometrics, 2015
SummaryFunctional principal component analysis (FPCA) is a popular approach to explore major sources of variation in a sample of random curves. These major sources of variation are represented by functional principal components (FPCs). The intervals where the values of FPCs are significant are interpreted as where sample curves have major variations ...
Lin, Zhenhua   +2 more
openaire   +2 more sources

Parametric Functional Principal Component Analysis

open access: yesBiometrics, 2017
Summary Functional principal component analysis (FPCA) is a popular approach in functional data analysis to explore major sources of variation in a sample of random curves. These major sources of variation are represented by functional principal components (FPCs).
Sang, Peijun   +2 more
openaire   +3 more sources

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