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BMC Medical Research Methodology, 2016 Background Wastewater-based epidemiology (WBE) is a novel approach in drug use epidemiology which aims to monitor the extent of use of various drugs in a community.
Stefania Salvatore +2 more
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Forecasting Canadian Age-Specific Mortality Rates: Application of Functional Time Series Analysis
Mathematics, 2023 In the insurance and pension industries, as well as in designing social security systems, forecasted mortality rates are of major interest. The current research provides statistical methods based on functional time series analysis to improve mortality ...
Azizur Rahman, Depeng Jiang
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Conditional Functional Principal Components Analysis [PDF]
Scandinavian Journal of Statistics, 2006 Abstract. This work proposes an extension of the functional principal components analysis (FPCA) or Karhunen–Loève expansion, which can take into account non‐parametrically the effects of an additional covariate. Such models can also be interpreted as non‐parametric mixed effect models for functional data.
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Functional principal component analysis of fMRI data [PDF]
Human Brain Mapping, 2004 AbstractWe describe a principal component analysis (PCA) method for functional magnetic resonance imaging (fMRI) data based on functional data analysis, an advanced nonparametric approach. The data delivered by the fMRI scans are viewed as continuous functions of time sampled at the interscan interval and subject to observational noise, and are used ...
Roberto, Viviani +2 more
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On Properties of Functional Principal Components Analysis [PDF]
Journal of the Royal Statistical Society Series B: Statistical Methodology, 2005 SummaryFunctional data analysis is intrinsically infinite dimensional; functional principal component analysis reduces dimension to a finite level, and points to the most significant components of the data. However, although this technique is often discussed, its properties are not as well understood as they might be.
Hall, Peter, Hosseini-Nasab, Seyed
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Adaptive Functional Principal Component Analysis
, 2023 We introduce Adaptive Functional Principal Component Analysis, a novel method to capture directions of variation in functional data that exhibit sharp changes in smoothness. We first propose a new adaptive scatterplot smoothing technique that is fast and scalable, and then integrate this technique into a probabilistic FPCA framework to adaptively ...
de la Garza, Angel Garcia +3 more
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Properties of design-based functional principal components analysis [PDF]
Journal of Statistical Planning and Inference, 2010 Revised version for J. of Statistical Planning and Inference (January 2009)
Cardot, Hervé +3 more
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Functional Linear Mixed Models for Irregularly or Sparsely Sampled Data [PDF]
, 2015 We propose an estimation approach to analyse correlated functional data which are observed on unequal grids or even sparsely. The model we use is a functional linear mixed model, a functional analogue of the linear mixed model.
Cederbaum, Jona +3 more
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Eigen-Adjusted Functional Principal Component Analysis
Journal of Computational and Graphical Statistics, 2022 Functional Principal Component Analysis (FPCA) has become a widely-used dimension reduction tool for functional data analysis. When additional covariates are available, existing FPCA models integrate them either in the mean function or in both the mean function and the covariance function.
Ci-Ren Jiang +3 more
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An Advanced Hybrid Logistic Regression Model for Static and Dynamic Mixed Data Classification
IEEE Access, 2022 We consider the binary classification problem of static and dynamic mixed data in this paper. Different from mixed categorical and numerical data, the dynamic variables in the new type of data vary with time and are recorded at discrete time points. This
Mingxue Quan
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