Asymptotic error distribution for the Riemann approximation of integrals driven by fractional Brownian motion
From MaRDI portal
Publication:2084843
DOI10.1214/22-EJP852MaRDI QIDQ2084843
Ivan Nourdin, Valentin Garino, Pierre Vallois
Publication date: 13 October 2022
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.02621
Gaussian processes (60G15) Central limit and other weak theorems (60F05) Fractional processes, including fractional Brownian motion (60G22) Stochastic integrals (60H05) Stochastic calculus of variations and the Malliavin calculus (60H07)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rate of convergence and asymptotic error distribution of Euler approximation schemes for fractional diffusions
- 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
- Discretization error of stochastic integrals
- Limit distributions for the error in approximations of stochastic integrals
- On quadratic variation of processes with Gaussian increments
- Integration with respect to fractal functions and stochastic calculus. I
- Asymptotic error distributions for the Euler method for stochastic differential equations
- Forward, backward and symmetric stochastic integration
- Are classes of deterministic integrands for fractional Brownian motion on an interval complete?
- Is network traffic approximated by stable Lévy motion or fractional Brownian motion?
- Tanaka formula for the fractional Brownian motion.
- Controlling rough paths
- Error distributions for random grid approximations of multidimensional stochastic integrals
- Functional convergence of sequential \(U\)-processes with size-dependent kernels
- Discrete rough paths and limit theorems
- Rate of convergence for discretization of integrals with respect to fractional Brownian motion
- Exact rate of convergence of some approximation schemes associated to SDEs driven by a fractional Brownian motion
- Long memory in continuous-time stochastic volatility models
- Normal Approximations with Malliavin Calculus
- Sur l’intégrabilité des vecteurs gaussiens
- Asymptotics of weighted random sums
- Analysis of the Rosenblatt process
- Fractional Brownian Motions, Fractional Noises and Applications
- A course on rough paths. With an introduction to regularity structures
- Discrete time hedging errors for options with irregular payoffs
- The asymptotic expansion of the regular discretization error of Itô integrals
This page was built for publication: Asymptotic error distribution for the Riemann approximation of integrals driven by fractional Brownian motion