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On random walk simulation of one-dimensional diffusion processes with discontinuous coefficients
3 references·5 citing·25 second hop
On random walk simulation of one-dimensional diffusion processes with discontinuous coefficients (2006)On random walk simulation of one-dimensio…A scheme for simulating one-dimensional diffusion processes with discontinuous coefficients (2006)A scheme for simulating one-d…Continuous Martingales and Brownian Motion (1991)Continuous Martingales and Br…One — dimensional stochastic differential equations involving the local times of the unknown process (1984)One — dimensional stochastic …A THRESHOLD MODEL FOR LOCAL VOLATILITY: EVIDENCE OF LEVERAGE AND MEAN REVERSION EFFECTS ON HISTORICAL DATA (2019)A THRESHOLD MODEL FOR LOCAL V…Statistical estimation of the Oscillating Brownian Motion (2018)Statistical estimation of the…Time inhomogeneous Stochastic Differential Equations involving the local time of the unknown process, and associated parabolic operators (2017)Time inhomogeneous Stochastic…Simulating diffusion processes in discontinuous media: A numerical scheme with constant time steps (2012)Simulating diffusion processe…One-dimensional parabolic diffraction equations: pointwise estimates and discretization of related stochastic differential equations with weighted local times (2012)One-dimensional parabolic dif…On the uniqueness of solutions of stochastic differential equations (1971)Calcul Stochastique et Problèmes de Martingales (1979)MULTI-DIMENSIONAL DIFFUSION PROCESSES (1980)Strong Markov Continuous Local Martingales and Solutions of One‐Dimensional Stochastic Differential Equations (Part I) (1989)On one-dimensional stochastic differential equations with generalized drift (2005)On the Constructions of the Skew Brownian Motion (2005)Stochastic Differential Equations: An Introduction with Applications. (1987)Weak approximation of killed diffusion using Euler schemes (2000)Numerical solution of stochastic differential equations (2016)A Markov Chain Approximation Scheme for Option Pricing Under Skew Diffusions (2019)Stopping Times and Tightness. II (1989)Handbook of Brownian Motion — Facts and Formulae (1996)Efficient Simulation of Generalized SABR and Stochastic Local Volatility Models based on Markov Chain Approximations (2020)Continuous Martingales and Brownian Motion (1999)The Malliavin Calculus and Related Topics (2006)Stochastic differential equations and applications (2008)A Change-of-Variable Formula with Local Time on Surfaces (2007)Limit Theorems for Stochastic Processes (2003)Discretization of Processes (2011)The stochastic behavior of common stock variances Value, leverage and interest rate effects (1982)Stock Market Prices Do Not Follow Random Walks: Evidence from a Simple Specification Test (1988)Empirical properties of asset returns: stylized facts and statistical issues (2001)A general version of the fundamental theorem of asset pricing (1994)Arbitrage Theory in Continuous Time (1998)Stock Return Characteristics, Skew Laws, and the Differential Pricing of Individual Equity Options (2003)
this work references cited by second hop

References

  • 1991Continuous Martingales and Brownian Motion1,957 cited
  • 1984One — dimensional stochastic differential equations involving the local times of the unknown process178 cited
  • 2006A scheme for simulating one-dimensional diffusion processes with discontinuous coefficients73 cited

Cited by

  • 2012Simulating diffusion processes in discontinuous media: A numerical scheme with constant time steps57 cited
  • 2018Statistical estimation of the Oscillating Brownian Motion32 cited
  • 2019A THRESHOLD MODEL FOR LOCAL VOLATILITY: EVIDENCE OF LEVERAGE AND MEAN REVERSION EFFECTS ON HISTORICAL DATA27 cited
  • 2012One-dimensional parabolic diffraction equations: pointwise estimates and discretization of related stochastic differential equations with weighted local times26 cited
  • 2017Time inhomogeneous Stochastic Differential Equations involving the local time of the unknown process, and associated parabolic operators23 cited

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