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Methodology and Convergence Rates for Functional Time Series Regression

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Publication:4558598
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DOI10.5705/ss.202016.0536zbMath1406.62098arXiv1612.07197OpenAlexW2963818865MaRDI QIDQ4558598

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Publication date: 22 November 2018

Published in: Statistica Sinica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.07197


zbMATH Keywords

system identificationfrequency analysisfunctional linear modelspectral density operatorTikhonov regularisation


Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Generalized linear models (logistic models) (62J12) Inference from stochastic processes and spectral analysis (62M15)


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Finite sample theory for high-dimensional functional/scalar time series with applications ⋮ Frequency domain theory for functional time series: variance decomposition and an invariance principle ⋮ A note on Herglotz's theorem for time series on function spaces ⋮ A note on quadratic forms of stationary functional time series under mild conditions ⋮ Functional lagged regression with sparse noisy observations



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