Some asymptotic theory for functional regression and classification

DOI10.1155/2011/485974zbMath1233.62028OpenAlexW2048163400WikidataQ58653862 ScholiaQ58653862MaRDI QIDQ764787

Shih-Hsuan Wei, Li Yu, Jing Wang, Frits H. Ruymgaart

Publication date: 14 March 2012

Published in: Advances in Decision Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/485974

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Linear regression; mixed models (62J05)

Related Items (1)

A note on random perturbations of a multiple eigenvalue of a Hermitian operator

Uses Software

• fda (R)

Cites Work

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• Equivalence and perpendicularity of Gaussian processes
• Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference
• CLT in functional linear regression models
• Canonical correlation for stochastic processes
• Methodology and convergence rates for functional linear regression
• The Fréchet derivative of an analytic function of a bounded operator with some applications
• Functional linear model
• Validation of linear regression models
• Functional canonical analysis for square integrable stochastic processes
• Penalized discriminant analysis
• Linear models. Least squares and alternatives
• The delta method for analytic functions of random operators with application to functional data
• Functional data analysis.
• Nonparametric functional data analysis. Theory and practice.
• On a property of normal distributions of any stochastic process
• Functional linear regression with derivatives
• Testing Hypotheses in the Functional Linear Model
• A family of minimax rates for density estimators in continuous time
• Linear Statistical Inference and its Applications
• The elements of statistical learning. Data mining, inference, and prediction

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