Generalized Wiener–Hermite integrals and rough non-Gaussian Ornstein–Uhlenbeck process
DOI10.1080/17442508.2022.2068955zbMath1528.60031OpenAlexW4225131687WikidataQ114098089 ScholiaQ114098089MaRDI QIDQ6107680
Unnamed Author, Obayda Assaad, Ciprian A. Tudor
Publication date: 3 July 2023
Published in: Stochastics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17442508.2022.2068955
self-similarityRosenblatt processmultiple stochastic integralsgeneralized Hermite Ornstein-Uhlenbeck processgeneralized Hermite process
Fractional processes, including fractional Brownian motion (60G22) Stochastic calculus of variations and the Malliavin calculus (60H07) Self-similar stochastic processes (60G18)
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Cites Work
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- Transformation formulas for fractional Brownian motion
- Multiple Wiener-Ito integrals. With applications to limit theorems
- Integration questions related to fractional Brownian motion
- Fractional {O}rnstein-{U}hlenbeck processes
- Limit theorems for integral functionals of Hermite-driven processes
- Statistical inference for Vasicek-type model driven by Hermite processes
- Behavior with respect to the Hurst index of the Wiener Hermite integrals and application to SPDEs
- Generalized Hermite processes, discrete chaos and limit theorems
- Analysis of Variations for Self-similar Processes
- The Malliavin Calculus and Related Topics
- Convergence of integrated processes of arbitrary Hermite rank
- Volatility is rough
- Non-central limit theorems for quadratic functionals of Hermite-driven long memory moving average processes
- Volatility Options in Rough Volatility Models
- Long-Range Dependence and Self-Similarity
- Wiener Integrals with Respect to the Hermite Process and a Non-Central Limit Theorem
- Fractional Brownian Motions, Fractional Noises and Applications
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