Locally stationary functional time series
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Publication:1697469
DOI10.1214/17-EJS1384zbMath1473.62317arXiv1602.05125MaRDI QIDQ1697469
Anne van Delft, Michael Eichler
Publication date: 20 February 2018
Published in: Electronic Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.05125
Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Functional data analysis (62R10) Inference from stochastic processes and spectral analysis (62M15)
Related Items (16)
White noise testing for functional time series ⋮ Nonparametric regression for locally stationary functional time series ⋮ 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 ⋮ Pivotal tests for relevant differences in the second order dynamics of functional time series ⋮ Factor models for high‐dimensional functional time series I: Representation results ⋮ A portmanteau-type test for detecting serial correlation in locally stationary functional time series ⋮ Locally stationary functional time series ⋮ Weakly stationary stochastic processes valued in a separable Hilbert space: Gramian-cramér representations and applications ⋮ A similarity measure for second order properties of non-stationary functional time series with applications to clustering and testing ⋮ Testing for stationarity of functional time series in the frequency domain ⋮ Functional GARCH models: the quasi-likelihood approach and its applications ⋮ A nonparametric test for stationarity in functional time series ⋮ Monitoring procedures for strict stationarity based on the multivariate characteristic function ⋮ Detecting deviations from second-order stationarity in locally stationary functional time series ⋮ Lagged covariance and cross-covariance operators of processes in Cartesian products of abstract Hilbert spaces
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Cites Work
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- Functional linear regression analysis for longitudinal data
- Fourier analysis of stationary time series in function space
- Functional dynamic factor models with application to yield curve forecasting
- Nonparametric regression for locally stationary time series
- Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference
- A frequency-domain based test for non-correlation between stationary time series
- Weakly dependent functional data
- Common functional principal components
- Robust forecasting of mortality and fertility rates: a functional data approach
- Estimation of a change-point in the mean function of functional data
- Testing the stability of the functional autoregressive process
- On weak convergence of integral functionals of stochastic processes with applications to processes taking paths in \(L^ E_ p\)
- Principal components analysis of sampled functions
- Small sample effects in time series analysis: A new asymptotic theory and a new estimate
- Time series: theory and methods.
- Fitting time series models to nonstationary processes
- Wavelet methods for continuous-time prediction using Hilbert-valued autoregressive processes
- Linear processes in function spaces. Theory and applications
- Monitoring the intraday volatility pattern
- Locally stationary functional time series
- Estimation of mean and covariance operator of autoregressive processes in Banach spaces
- On the Kullback-Leibler information divergence of locally stationary processes
- Testing for stationarity of functional time series in the frequency domain
- Cramér-Karhunen-Loève representation and harmonic principal component analysis of functional time series
- Functional data analysis.
- Nonparametric functional data analysis. Theory and practice.
- Statistical inference for time-varying ARCH processes
- Estimation of mean and covariance operator for Banach space valued autoregressive processes with dependent innovations
- A FUNCTIONAL VERSION OF THE ARCH MODEL
- SPECTRAL ANALYSIS WITH TAPERED DATA
- Data-Adaptive Estimation of Time-Varying Spectral Densities
- A Functional Wavelet–Kernel Approach for Time Series Prediction
- A limit theorem for measurable random processes and its applications
- Detecting Changes in the Mean of Functional Observations
- Principal components of random variables with values in a seperable hilbert space
- Linear Regression Models for Functional Data
- On the Prediction of Stationary Functional Time Series
- Dynamic Functional Principal Components
- The Dynamics of Economic Functions: Modeling and Forecasting the Yield Curve
- Functional Additive Models
- Inference and Prediction in Large Dimensions
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