Asymptotic Equivalence Between Boundary Perturbations and Discrete Exit Times: Application to Simulation Schemes

DOI10.1007/978-3-642-27440-4_4zbMath1274.60245OpenAlexW252545625MaRDI QIDQ5326101

Emmanuel Gobet

Publication date: 31 July 2013

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-27440-4_4

zbMATH Keywords

boundary perturbationsimulation schemesstopped diffusionexit from a domainscalar Brownian motiondiscrete killing

Mathematics Subject Classification ID

Brownian motion (60J65) Diffusion processes (60J60) Boundary theory for Markov processes (60J50)

Cites Work

• Unnamed Item
• Boundary sensitivities for diffusion processes in time dependent domains
• Sequential analysis. Tests and confidence intervals
• Hypoellipticité et hypoellipticité partielle pour les diffusions avec une condition frontière (Hypoellipticity and partial hypoellipticity for diffusions with a boundary condition)
• Connecting discrete and continuous path-dependent options
• Ladder heights, Gaussian random walks and the Riemann zeta function
• Asymptotics of hitting probabilities for general one-dimensional pinned diffusions
• Weak approximation of killed diffusion using Euler schemes.
• The law of the Euler scheme for stochastic differential equations. I: Convergence rate of the distribution function
• Exact asymptotics for the probability of exit from a domain and applications to simulation
• Stopped diffusion processes: boundary corrections and overshoot
• Exact approximation rate of killed hypoelliptic diffusions using the discrete Euler scheme
• A Continuity Correction for Discrete Barrier Options
• The Malliavin Calculus and Related Topics
• Advanced Monte Carlo Methods for Barrier and Related Exotic Options
• Smooth first-passage densities for one-dimensional diffusions
• Corrected diffusion approximations in certain random walk problems
• Euler schemes and half-space approximation for the simulation of diffusion in a domain
• Exact Monte Carlo simulation of killed diffusions
• Continuity Correction for Barrier Options in Jump-Diffusion Models
• Discrete Sampling of Functionals of Ito Processes
• Corrected random walk approximations to free boundary problems in optimal stopping
• Multidimensional Exponential Timestepping with Boundary Test
• Credit risk: Modelling, valuation and hedging
• Shape optimization by the homogenization method

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