Gaussian approximation for nonstationary time series with optimal rate and explicit construction
From MaRDI portal
Publication:6656621
DOI10.1214/24-aos2436MaRDI QIDQ6656621
Sayar Karmakar, Wei Biao Wu, Soham Bonnerjee
Publication date: 3 January 2025
Published in: The Annals of Statistics (Search for Journal in Brave)
Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Inference from stochastic processes and spectral analysis (62M15) Approximations to statistical distributions (nonasymptotic) (62E17)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sieve bootstrap for smoothing in nonstationary time series
- Trending time-varying coefficient time series models with serially correlated errors
- Covariance matrix estimation for stationary time series
- Inference of time-varying regression models
- Local polynomial fitting in semivarying coefficient model
- Hanson-Wright inequality and sub-Gaussian concentration
- An MDL approach to the climate segmentation problem
- Strong approximation for a class of stationary processes
- Resampling a coverage pattern
- The use of subseries values for estimating the variance of a general statistic from a stationary sequence
- Asymptotic theory of a test for the constancy of regression coefficients against the random walk alternative
- A new test for structural stability in the linear regression model
- An approach to modeling seasonally stationary time series
- Matched-block bootstrap for dependent data
- Testing parameter constancy in linear models against stochastic stationary parameters
- Fitting time series models to nonstationary processes
- Resampling methods for dependent data
- Zur Theorie der orthogonalen Funktionensysteme. (Erste Mitteilung.)
- Statistical estimation in varying coefficient models
- The jackknife and the bootstrap for general stationary observations
- A likelihood approximation for locally stationary processes
- Inference for modulated stationary processes
- Large deviations for quadratic forms of stationary Gaussian processes
- Simultaneous inference for time-varying models
- Modelling time-varying first and second-order structure of time series via wavelets and differencing
- The CLT in high dimensions: quantitative bounds via martingale embedding
- A bound on tail probabilities for quadratic forms in independent random variables whose distributions are not necessarily symmetric
- Cross validation for locally stationary processes
- Time-varying nonlinear regression models: nonparametric estimation and model selection
- Moderate deviations for quadratic forms in Gaussian stationary processes
- Komlós-Major-Tusnády approximation under dependence
- Functional data analysis.
- Convergence of covariance and spectral density estimates for high-dimensional locally stationary processes
- Simultaneous Confidence Bands and Hypothesis Testing in Varying-coefficient Models
- Non-parametric Curve Estimation by Wavelet Thresholding with Locally Stationary Errors
- Structural breaks in time series
- Inference for single and multiple change-points in time series
- Gaussian approximations for non-stationary multiple time series
- Tests for Parameter Instability and Structural Change With Unknown Change Point
- A test for a change in a parameter occurring at an unknown point
- Tests of Equality Between Sets of Coefficients in Two Linear Regressions
- ASYMPTOTICS OF SPECTRAL DENSITY ESTIMATES
- Structural Breaks in Financial Time Series
- A Simple, Positive Semi-Definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix
- On the distribution of some test statistics for coefficient constancy
- Testing for the Constancy of Parameters Over Time
- Ten Lectures on Wavelets
- An approximation of partial sums of independent RV's, and the sample DF. II
- An approximation of partial sums of independent RV'-s, and the sample DF. I
- Nonparametric smoothing estimates of time-varying coefficient models with longitudinal data
- Confidence Bands in Nonparametric Regression
- PERIODIC CORRELATION IN STRATOSPHERIC OZONE DATA
- The Stationary Bootstrap
- BIAS-CORRECTED NONPARAMETRIC SPECTRAL ESTIMATION
- Multidimensional Version of a Result of Sakhanenko in the Invariance Principle for Vectors with Finite Exponential Moments. I
- Multidimensional Version of a Result of Sakhanenko in the Invariance Principle for Vectors with Finite Exponential Moments. II
- Multidimensional Version of a Result of Sakhanenko in the Invariance Principle for Vectors with Finite Exponential Moments. III
- Automatic Block-Length Selection for the Dependent Bootstrap
- Estimating and Testing Linear Models with Multiple Structural Changes
- Time-Dependent Spectral Analysis of Nonstationary Time Series
- Simultaneous Inference of Linear Models with Time Varying Coefficients
- Notes on Inequalities for Sums of Independent Variables
- Semiparametric and Nonparametric Regression Analysis of Longitudinal Data
- De-noising by soft-thresholding
- Inference of Trends in Time Series
- Optimal Gaussian Approximation For Multiple Time Series
- Changepoints in the North Atlantic Tropical Cyclone Record
- Heteroscedasticity and Autocorrelation Robust Structural Change Detection
- Nonlinear system theory: Another look at dependence
- A Bound on Tail Probabilities for Quadratic Forms in Independent Random Variables
- Structural Break Estimation for Nonstationary Time Series Models
- Heuristic Approach to the Kolmogorov-Smirnov Theorems
- CONTINUOUS INSPECTION SCHEMES
- On certain limit theorems of the theory of probability
- Large deviations of sums of independent random variables
- Sequential Gaussian approximation for nonstationary time series in high dimensions
This page was built for publication: Gaussian approximation for nonstationary time series with optimal rate and explicit construction