Discrete rough paths and limit theorems
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Publication:2227464
DOI10.1214/19-AIHP1015zbMath1466.60049arXiv1707.01783MaRDI QIDQ2227464
Publication date: 15 February 2021
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.01783
Gaussian processes (60G15) Central limit and other weak theorems (60F05) Fractional processes, including fractional Brownian motion (60G22) Stochastic calculus of variations and the Malliavin calculus (60H07)
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Cites Work
- Unnamed Item
- Quantitative stable limit theorems on the Wiener space
- The Jain-Monrad criterion for rough paths and applications to random Fourier series and non-Markovian Hörmander theory
- Rate of convergence and asymptotic error distribution of Euler approximation schemes for fractional diffusions
- Central limit theorem for a Stratonovich integral with Malliavin calculus
- Weak convergence of the Stratonovich integral with respect to a class of Gaussian processes
- Smoothness of the density for solutions to Gaussian rough differential equations
- Lévy area for Gaussian processes: a double Wiener-Itô integral approach
- Central and non-central limit theorems for weighted power variations of fractional Brownian motion
- The weak stratonovich integral with respect to fractional Brownian motion with Hurst parameter 1/6
- Power variation of some integral fractional processes
- Limits for weighted \(p\)-variations and likewise functionals of fractional diffusions with drift
- On Simpson's rule and fractional Brownian motion with \(H = 1/10\)
- Central limit theorems for multiple Skorokhod integrals
- Asymptotic behavior of weighted quadratic variations of fractional Brownian motion: the critical case \(H=1/4\)
- Milstein's type schemes for fractional SDEs
- Power variation for Gaussian processes with stationary increments
- Central limit theorems for non-linear functionals of Gaussian fields
- Limit theory for moving averages of random variables with regularly varying tail probabilities
- Convergence en loi des suites d'integrales stochastiques sur l'espace \({\mathbb{D}}^ 1\) de Skorokhod. (Convergence in law of sequences of stochastic integrals on the Skorokhod space \({\mathbb{D}}^ 1)\)
- On mixing and stability of limit theorems
- Generalized covariations, local time and Stratonovich Itô's formula for fractional Brownian motion with Hurst index \(H\geq\frac 1 4\).
- Weak symmetric integrals with respect to the fractional Brownian motion
- First-order Euler scheme for SDEs driven by fractional Brownian motions: the rough case
- Controlling rough paths
- Limit theorems for nonlinear functionals of a stationary Gaussian sequence of vectors
- A change of variable formula with Itô correction term
- Discretizing the fractional Lévy area
- Weighted power variation of integrals with respect to a Gaussian process
- \(m\)-order integrals and generalized Itô's formula; the case of a fractional Brownian motion with any Hurst index
- Asymptotic behavior of weighted quadratic and cubic variations of fractional Brownian motion
- Stochastic integral of divergence type with respect to fractional Brownian motion with Hurst parameter \(H \in (0,\frac {1}{2})\)
- Analysis on Gaussian Spaces
- Normal Approximations with Malliavin Calculus
- A CENTRAL LIMIT THEOREM AND A STRONG MIXING CONDITION
- The Malliavin Calculus and Related Topics
- Multidimensional Stochastic Processes as Rough Paths
- Asymptotics of weighted random sums
- Convergence of integrated processes of arbitrary Hermite rank
- Non-central limit theorems for non-linear functional of Gaussian fields
- Semi-Stable Stochastic Processes
- A course on rough paths. With an introduction to regularity structures