Detecting structural breaks in eigensystems of functional time series
From MaRDI portal
Publication:2044328
DOI10.1214/20-EJS1796zbMath1471.62558arXiv1911.07580MaRDI QIDQ2044328
Publication date: 9 August 2021
Published in: Electronic Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.07580
Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Functional data analysis (62R10) Applications of statistics to environmental and related topics (62P12) Eigenvalues, singular values, and eigenvectors (15A18) Asymptotic properties of parametric tests (62F05)
Related Items (4)
Quantifying deviations from separability in space-time functional processes ⋮ Consistency of binary segmentation for multiple change-point estimation with functional data ⋮ Change point analysis of covariance functions: a weighted cumulative sum approach ⋮ Statistical inference for the slope parameter in functional linear regression
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Functional data analysis with increasing number of projections
- Inference for functional data with applications
- Detecting and estimating changes in dependent functional data
- Detecting deviations from second-order stationarity in locally stationary functional time series
- Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference
- Estimation of a change-point in the mean function of functional data
- Linear processes in function spaces. Theory and applications
- Testing precise hypotheses. With comments and a rejoinder by the authors
- A survey of functional principal component analysis
- High-dimensional functional time series forecasting: an application to age-specific mortality rates
- Eigenvalue distribution of compact operators
- Weak convergence and empirical processes. With applications to statistics
- Weak invariance principles for sums of dependent random functions
- Functional data analysis in the Banach space of continuous functions
- Two sample inference for the second-order property of temporally dependent functional data
- Functional data analysis.
- A central limit theorem for m-dependent random variables with unbounded m
- Testing Statistical Hypotheses of Equivalence and Noninferiority
- Detecting and Dating Structural Breaks in Functional Data Without Dimension Reduction
- Inference for the Lagged Cross‐Covariance Operator Between Functional Time Series
- Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators
- Testing for Change Points in Time Series
- On the Prediction of Stationary Functional Time Series
- Detecting Relevant Changes in Time Series Models
- On Properties of Functional Principal Components Analysis
This page was built for publication: Detecting structural breaks in eigensystems of functional time series