Best estimation of functional linear models

DOI10.1016/j.jmva.2016.07.005zbMath1347.62087arXiv1412.7332OpenAlexW1557007051MaRDI QIDQ311804

Chiara Tommasi, Caterina May, Giacomo Aletti

Publication date: 13 September 2016

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.7332

zbMATH Keywords

Sobolev spacesRiesz representation theoremlinear modelsGauss-Markov theorembest linear unbiased estimatorrepeated measurementsfunctional data analysis

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Inference from stochastic processes and spectral analysis (62M15) Inference from stochastic processes (62M99) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06)

Uses Software

• fda (R)

Cites Work

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• A universal kriging predictor for spatially dependent functional data of a Hilbert space
• Karhunen-Loève expansion revisited for vector-valued random fields: scaling, errors and optimal basis.
• Inference for functional data with applications
• Wavelets in functional data analysis: estimation of multidimensional curves and their derivatives
• Estimation of functional derivatives
• Linear processes in function spaces. Theory and applications
• Functional data analysis.
• Nonparametric functional data analysis. Theory and practice.
• Outcome Prediction for Heart Failure Telemonitoring Via Generalized Linear Models with Functional Covariates

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