Lower bound for local oscillations of Hermite processes
From MaRDI portal
Publication:2186639
DOI10.1016/j.spa.2020.01.009zbMath1444.60028arXiv1903.04475OpenAlexW2999243103WikidataQ126337966 ScholiaQ126337966MaRDI QIDQ2186639
Publication date: 9 June 2020
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.04475
Sample path properties (60G17) Stochastic integrals (60H05) Self-similar stochastic processes (60G18)
Related Items (6)
Moving average multifractional processes with random exponent: lower bounds for local oscillations ⋮ Multifractional Hermite processes: definition and first properties ⋮ Besov-Orlicz path regularity of non-Gaussian processes ⋮ Asymptotic normality for a modified quadratic variation of the Hermite process ⋮ Wavelet-type expansion of the generalized Rosenblatt process and its rate of convergence ⋮ Wavelet methods to study the pointwise regularity of the generalized Rosenblatt process
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Properties and numerical evaluation of the Rosenblatt distribution
- On the distribution of the Rosenblatt process
- On a class of self-similar processes with stationary increments in higher order Wiener chaoses
- Structure of the third moment of the generalized Rosenblatt distribution
- The impact of the diagonals of polynomial forms on limit theorems with long memory
- A wavelet analysis of the Rosenblatt process: chaos expansion and estimation of the self-similarity parameter
- Asymptotic properties and Hausdorff dimensions of fractional Brownian sheets
- From intersection local time to the Rosenblatt process
- A white noise approach to stochastic integration with respect to the Rosenblatt process
- Wavelet construction of generalized multifractional processes
- Linear fractional stable sheets: Wavelet expansion and sample path properties
- Wavelet-based synthesis of the Rosenblatt process
- The law of the iterated logarithm for self-similar processes represented by multiple Wiener integrals
- Local nondeterminism and local times for stable processes
- Hölder conditions for the local times and the Hausdorff measure of the level sets of Gaussian random fields
- Wavelet-type expansion of the Rosenblatt process
- Convergence of long-memory discrete \(k\)th order Volterra processes
- Supremum concentration inequality and modulus of continuity for sub-\(n\)th chaos processes
- Behavior of the generalized Rosenblatt process at extreme critical exponent values
- Generalized Hermite processes, discrete chaos and limit theorems
- Properties of local-nondeterminism of Gaussian and stable random fields and their applications
- On the oscillation of the Brownian motion process
- Sample path properties of ergodic self-similar processes
- The Malliavin Calculus and Related Topics
- 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
- Gaussian Hilbert Spaces
- Recent Developments on Fractal Properties of Gaussian Random Fields
- Multifractional Stochastic Fields
- Gaussian Processes with Stationary Increments: Local Times and Sample Function Properties
- Gaussian Sample Functions: Uniform Dimension and Hölder Conditions Nowhere
This page was built for publication: Lower bound for local oscillations of Hermite processes