An extension of Fisher's discriminant analysis for stochastic processes
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Publication:928855
DOI10.1016/j.jmva.2007.08.001zbMath1141.62053OpenAlexW2038083329MaRDI QIDQ928855
Publication date: 11 June 2008
Published in: Journal of Multivariate Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmva.2007.08.001
Classification and discrimination; cluster analysis (statistical aspects) (62H30) Inference from stochastic processes (62M99) Applications of functional analysis in probability theory and statistics (46N30)
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Cites Work
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- Measures of association for Hilbertian subspaces and some applications
- Some properties of canonical correlations and variates in infinite dimensions
- Canonical correlation for stochastic processes
- Curves discrimination: a nonparametric functional approach
- Functional data analysis
- The functional nonparametric model and applications to spectrometric data
- Some theory for Fisher's linear discriminant function, `naive Bayes', and some alternatives when there are many more variables than observations
- Functional canonical analysis for square integrable stochastic processes
- Canonical analysis relative to a closed subspace
- Discriminant analysis for locally stationary processes
- Penalized discriminant analysis
- Smoothed functional principal components analysis by choice of norm
- Generalized functional linear models
- Estimation in generalized linear models for functional data via penalized likelihood
- Nonparametric functional data analysis. Theory and practice.
- Functional Linear Discriminant Analysis for Irregularly Sampled Curves
- Nonparametric estimation of large covariance matrices of longitudinal data
- Biased discriminant analysis: Evaluation of the optimum probability of misclassification
- The Non-Central Multivariate Beta Distribution
- An Approach to Time Series Analysis
- Discrimination and Clustering for Multivariate Time Series
- The application of bias to discriminant analysis
- Shrunken Estimators in Discriminant and Canonical Variate Analysis
- Canonical Variate Analysis of High-Dimensional Spectral Data
- Linear Discriminant Functions for Stationary Time Series
- A Functional Data—Analytic Approach to Signal Discrimination
- Analysis of Longitudinal Data Unbalanced Over Time
- Extraction and Detection Problems and Reproducing Kernel Hilbert Spaces
- THE STATISTICAL UTILIZATION OF MULTIPLE MEASUREMENTS
- Theory of Reproducing Kernels
- The elements of statistical learning. Data mining, inference, and prediction
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