Weak and strong discrete-time approximation of fractional SDEs
DOI10.1007/s10986-014-9253-9zbMath1322.60135OpenAlexW2084829984WikidataQ108524135 ScholiaQ108524135MaRDI QIDQ2257577
Bartosz Ziemkiewicz, Adrian Falkowski, Leszek Slominski
Publication date: 25 February 2015
Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10986-014-9253-9
fractional Brownian motionGaussian processesfractional stochastic differential equationsdiscrete-time approximations
Gaussian processes (60G15) Fractional processes, including fractional Brownian motion (60G22) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Financial applications of other theories (91G80) Stochastic integrals (60H05) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Functional limit theorems; invariance principles (60F17)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fractional Fokker-Planck equation and Black-Scholes formula in composite-diffusive regime
- Fractional Brownian motion and martingale-differences
- On weak approximations of integrals with respect to fractional Brownian motion
- An actuarial approach to option pricing under the physical measure and without market assumptions
- Stochastic analysis of the fractional Brownian motion
- On the convergence of Dirichlet processes
- On weak solutions of an integral equation driven by a \(p\)-semimartingale of special type
- Differential equations driven by fractional Brownian motion
- The existence and uniqueness of the solution of an integral equation driven by a \(p\)-semimartin\-gale of special type.
- Gaussian measures in \(B_p^1\)
- On non-continuous Dirichlet processes
- On weak and strong solutions of an integral equation driven by a continuous \(p\)-semimartingale
- Differential equations driven by rough signals. I: An extension of an inequality of L. C. Young
- Existence of strong solutions for Itô's stochastic equations via approximations
- Stochastic calculus for fractional Brownian motion and related processes.
- Exact rate of convergence of some approximation schemes associated to SDEs driven by a fractional Brownian motion
- Inequalities for the \(\mathbb L^p\) norms of integrals with respect to a fractional Brownian motion
- Actuarial Approach to Option Pricing in a Fractional Black–Scholes Model with Time-Dependent Volatility
- Concrete Functional Calculus
- Les processus de dirichlet et tant qu'espace de banach
- On arbitrage and replication in the fractional Black–Scholes pricing model
- Fractional Processes as Models in Stochastic Finance
- A Fractional Donsker Theorem
- Computational Science - ICCS 2004
- Stieltjes integrals of Hölder continuous functions with applications to fractional Brownian motion
- Inequalities for the moments of Wiener integrals with respect to a fractional Brownian motion
- Fractional Brownian motion, random walks and binary market models