How the instability of ranks under long memory affects large-sample inference
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Publication:667685
DOI10.1214/17-STS633zbMath1407.62274arXiv1610.00690MaRDI QIDQ667685
Publication date: 1 March 2019
Published in: Statistical Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.00690
instabilitylong memorylong-range dependenceHermite ranknon-Gaussian limitlarge-sample inferencepower rank
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Cites Work
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- A simple test of changes in mean in the possible presence of long-range dependence
- A unified approach to self-normalized block sampling
- Multiple Wiener-Itô integrals. With applications to limit theorems
- Large scale behavior of wavelet coefficients of non-linear subordinated processes with long memory
- Ratio test for variance change point in linear process with long memory
- Noncentral limit theorems and Appell polynomials
- Regularization and integral representations of Hermite processes
- On spline regression under Gaussian subordination with long memory
- Asymptotic properties of \(U\)-processes under long-range dependence
- On the validity of resampling methods under long memory
- A noncentral limit theorem for quadratic forms of Gaussian stationary sequences
- A functional central limit theorem for weakly dependent sequences of random variables
- Zones of attraction of self-similar multiple integrals
- Nonparametric regression with heteroscedastic long memory errors
- The empirical process of some long-range dependent sequences with an application to U-statistics
- On Berry-Esseen bounds for non-instantaneous filters of linear processes
- Central limit theorems for non-linear functionals of Gaussian fields
- Large-sample properties of parameter estimates for strongly dependent stationary Gaussian time series
- A central limit theorem for non-instantaneous filters of a stationary Gaussian process
- On bilinear forms in Gaussian random variables and Toeplitz matrices
- Bivariate symmetric statistics of long-range dependent observations
- Time series: theory and methods.
- Non-central limit theorems for non-linear functionals of \(k\) Gaussian fields
- Necessary conditions for nonlinear functionals of Gaussian processes to satisfy central limit theorems
- On central and non-central limit theorems in density estimation for sequences of long-range dependence
- Random-design regression under long-range dependent errors
- Regression model fitting with long memory errors
- Limit theorems for functionals of moving averages
- Local linear regression estimation for time series with long-range dependence
- A new weak dependence condition and applications to moment inequalities
- Sensitivity of the Hermite rank
- Whittle estimator for finite-variance non-Gaussian time series with long memory
- Limit theorems for nonlinear functionals of a stationary Gaussian sequence of vectors
- Density estimation under long-range dependence
- Gaussian semiparametric estimation of long range dependence
- Asymptotic distributions of the sample mean, autocovariances, and autocorrelations of long-memory time series
- On inference based on the one-sample sign statistic for long-range dependent data
- Block sampling under strong dependence
- Long-range dependence and Appell rank
- Estimators of long-memory: Fourier versus wavelets
- A central limit theorem for quadratic forms in strongly dependent linear variables and its application to asymptotical normality of Whittle's estimate
- Stochastic Processes and Long Range Dependence
- Subsampling inference for the mean of heavy-tailed long-memory time series
- Long-Range Dependence and the Rank of Decompositions
- ESTIMATORS FOR LONG-RANGE DEPENDENCE: AN EMPIRICAL STUDY
- A CENTRAL LIMIT THEOREM AND A STRONG MIXING CONDITION
- UNIT ROOT TESTING FOR FUNCTIONALS OF LINEAR PROCESSES
- VALIDITY OF THE SAMPLING WINDOW METHOD FOR LONG-RANGE DEPENDENT LINEAR PROCESSES
- Covariances Estimation for Long-Memory Processes
- Towards a unified asymptotic theory for autoregression
- AN INTRODUCTION TO LONG-MEMORY TIME SERIES MODELS AND FRACTIONAL DIFFERENCING
- M Estimators of Location for Gaussian and Related Processes With Slowly Decaying Serial Correlations
- Slowly Decaying Correlations, Testing Normality, Nuisance Parameters
- Weak convergence to fractional brownian motion and to the rosenblatt process
- Convergence of integrated processes of arbitrary Hermite rank
- Non-central limit theorems for non-linear functional of Gaussian fields
- NON‐PARAMETRIC ESTIMATION WITH STRONGLY DEPENDENT MULTIVARIATE TIME SERIES
- Gaussian Hilbert Spaces
- Robustness of whittle-type estimators for time series with long-range dependence
- The smoothing dichotomy in nonparametric regression under long‐memory errors
- Subsampling for General Statistics under Long Range Dependence with application to change point analysis
- A Self-Normalized Approach to Confidence Interval Construction in Time Series
- Long-Memory Processes
- Non‐Parametric Change‐Point Tests for Long‐Range Dependent Data
- Robust estimation of the scale and of the autocovariance function of Gaussian short- and long-range dependent processes
- Wavelet estimation of the long memory parameter for Hermite polynomial of Gaussian processes
- Long-Range Dependence and Self-Similarity
- Nonlinear system theory: Another look at dependence
- MULTIVARIATE LIMIT THEOREMS IN THE CONTEXT OF LONG‐RANGE DEPENDENCE
- Some Limit Theorems for Stationary Processes
- Kernel density estimation for linear processes