Wavelet-based analysis of non-Gaussian long-range dependent processes and estimation of the Hurst parameter
DOI10.1007/s10986-011-9126-4zbMath1294.62185OpenAlexW2089941882MaRDI QIDQ392762
Patrice Abry, Hannes Helgason, Vladas Pipiras
Publication date: 15 January 2014
Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10986-011-9126-4
waveletlong-range dependenceHurst parameterHermite ranknon-Gaussian processesnumber of vanishing moments
Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Nonparametric estimation (62G05) Fractional processes, including fractional Brownian motion (60G22) Self-similar stochastic processes (60G18)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Synthesis of multivariate stationary series with prescribed marginal distributions and covariance using circulant matrix embedding
- A wavelet analysis of the Rosenblatt process: chaos expansion and estimation of the self-similarity parameter
- Long- and short-range dependent sequences under exponential subordination
- Whittle estimator for finite-variance non-Gaussian time series with long memory
- Properties of nonlinear transformations of fractionally integrated processes.
- Bounds for the covariance of functions of infinite variance stable random variables with applications to central limit theorems and wavelet-based estimation
- Spectral properties of superpositions of Ornstein-Uhlenbeck type processes
- Testing for the Presence of Self-Similarity of Gaussian Time Series Having Stationary Increments
- Image Processing and Data Analysis
- Scaling, Fractals and Wavelets
- Robust Estimators in Non-linear Regression Models with Long-Range Dependence
- Wavelet analysis and synthesis of fractional Brownian motion
- Weak convergence to fractional brownian motion and to the rosenblatt process
- Wavelet analysis of long-range-dependent traffic
- Statistical study of the wavelet analysis of fractional Brownian motion
- A wavelet-based joint estimator of the parameters of long-range dependence
- Student processes
- Fractal‐Based Point Processes
- Estimating the parameters of a fractional Brownian motion by discrete variations of its sample paths
This page was built for publication: Wavelet-based analysis of non-Gaussian long-range dependent processes and estimation of the Hurst parameter