SZodixStudyAcademic Library
ShelvesOpen access
Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated
The approximate Euler method for Lévy driven stochastic differential equations
9 references·16 citing·42 second hop
The approximate Euler method for Lévy driven stochastic differential equations (2005)The approximate Euler method for Lévy dri…Stochastic Integration and Differential Equations (2005)Stochastic Integration and Di…Series Representations of Lévy Processes from the Perspective of Point Processes (2001)Series Representations of Lév…Lévy processes : theory and applications (2001)Lévy processes : theory and a…Approximations of small jumps of Lévy processes with a view towards simulation (2001)Approximations of small jumps…Asymptotic error distributions for the Euler method for stochastic differential equations (1998)Asymptotic error distribution…The Euler scheme for Lévy driven stochastic differential equations (1997)The Euler scheme for Lévy dri…Stochastic Analysis (1997)Stochastic AnalysisThe law of the Euler scheme for stochastic differential equations (1996)The law of the Euler scheme f…Wong-Zakai Corrections, Random Evolutions, and Simulation Schemes for SDE's (1991)Wong-Zakai Corrections, Rando…Convergence and stability of the backward Euler method for jump–diffusion SDEs with super-linearly growing diffusion and jump coefficients (2019)Convergence and stability of …On Maximal Inequalities for Purely Discontinuous Martingales in Infinite Dimensions (2014)On Maximal Inequalities for P…Numerical simulations and modeling for stochastic biological systems with jumps (2013)Numerical simulations and mod…Multilevel Monte Carlo simulation for Lévy processes based on the Wiener–Hopf factorisation (2013)Multilevel Monte Carlo simula…Comparison of semimartingales and Lévy processes (2012)Comparison of semimartingales…A multilevel Monte Carlo algorithm for Lévy-driven stochastic differential equations (2011)A multilevel Monte Carlo algo…Weak Error for Stable Driven Stochastic Differential Equations: Expansion of the Densities (2010)Weak Error for Stable Driven …Threshold estimation of Markov models with jumps and interest rate modeling (2010)Threshold estimation of Marko…Jump-adapted discretization schemes for Lévy-driven SDEs (2010)Jump-adapted discretization s…Simulation and approximation of Lévy-driven stochastic differential equations (2009)Simulation and approximation …Numerical methods for Lévy processes (2009)Numerical methods for Lévy pr…Simulation of Lévy-driven Ornstein–Uhlenbeck processes with given marginal distribution (2008)Simulation of Lévy-driven Orn…Parameter estimation for Ornstein-Uhlenbeck processes driven by α-stable Lévy motions (2007)Parameter estimation for Orns…Comparison of semimartingales and Lévy processes (2007)Comparison of semimartingales…Approximation of jump diffusions in finance and economics (2007)Approximation of jump diffusi…Euler scheme and tempered distributions (2005)Euler scheme and tempered dis…On the Convergence of Ordinary Integrals to Stochastic Integrals (1965)Weak Limit Theorems for Stochastic Integrals and Stochastic Differential Equations (1991)Weak convergence of stochastic integrals and differential equations (1996)An Introduction to Rough Paths (2003)Exact Rate of Convergence of Some Approximation Schemes Associated to SDEs Driven by a Fractional Brownian Motion (2007)Stochastic Integration and Differential Equations : A New Approach (2014)Extreme Values, Regular Variation and Point Processes (1987)Simulation and Chaotic Behavior of Alpha-stable Stochastic Processes (1993)Simulation and Chaotic Behaviour of α-Stable Stochastic Processes. (1995)Modelling by Lévy Processes for Financial Econometrics (2001)Modelling by Lévy Processess for Financial Econometrics (2001)Hyperbolic Processes in Finance (2003)Limit Theorems for Stochastic Processes (1987)Stochastic Integration and Differential Equations (1990)Realized Variance and Market Microstructure Noise (2004)Estimating Covariation: Epps Effect, Microstructure Noise (2006)Ultra high frequency volatility estimation with dependent microstructure noise (2010)The Behavior of Stock-Market Prices (1965)Continuous Martingales and Brownian Motion (1999)Non-Gaussian OU based models and some of their uses in financial economics (2000)Estimation of continuous-time stochastic volatility models with jumps using high-frequency data (2008)Polynomial processes and their applications to mathematical finance (2012)Numerical solution of stochastic differential equations (2016)Stochastic Differential Equations: An Introduction with Applications. (1987)Stochastic Differential Equations—An Introduction With Applications (2006)Stochastic differential equations and applications (2008)Processes of normal inverse Gaussian type (1997)Generalized Hyperbolic and Inverse Gaussian Distributions: Limiting Cases and Approximation of Processes (2004)Pricing Options in Jump-Diffusion Models: An Extrapolation Approach (2007)Stochastic Differential Equations and Diffusion Processes (1983)Simulated likelihood estimation of diffusions with an application to exchange rate dynamics in incomplete markets (2002)On the discretization schemes for the CIR (and Bessel squared) processes (2005)The Malliavin Calculus and Related Topics (2006)Modeling Term Structures of Defaultable Bonds (1999)Transform Analysis and Asset Pricing for Affine Jump-diffusions (2000)The distribution of realized stock return volatility (2001)Applications of Malliavin calculus to Monte Carlo methods in finance (1999)Stochastic Calculus with Respect to Gaussian Processes (2001)Stein’s method on Wiener chaos (2008)Application of Generalized Hyperbolic Lévy Motions to Finance (2001)Measures of risk (2002)Non-parametric calibration of jump–diffusion option pricing models (2004)
this work references cited by second hop

References

  • 2005Stochastic Integration and Differential Equations4,594 cited
  • 1997Stochastic Analysis1,035 cited
  • 1998Asymptotic error distributions for the Euler method for stochastic differential equations400 cited
  • 1996The law of the Euler scheme for stochastic differential equations375 cited
  • 2001Lévy processes : theory and applications338 cited
  • 2001Approximations of small jumps of Lévy processes with a view towards simulation300 cited
  • 1997The Euler scheme for Lévy driven stochastic differential equations244 cited
  • 2001Series Representations of Lévy Processes from the Perspective of Point Processes240 cited
  • 1991Wong-Zakai Corrections, Random Evolutions, and Simulation Schemes for SDE's105 cited

Cited by

  • 2013Numerical simulations and modeling for stochastic biological systems with jumps83 cited
  • 2010Threshold estimation of Markov models with jumps and interest rate modeling67 cited
  • 2011A multilevel Monte Carlo algorithm for Lévy-driven stochastic differential equations59 cited
  • 2010Jump-adapted discretization schemes for Lévy-driven SDEs59 cited
  • 2005Euler scheme and tempered distributions57 cited
  • 2014On Maximal Inequalities for Purely Discontinuous Martingales in Infinite Dimensions

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

49 cited
  • 2007Parameter estimation for Ornstein-Uhlenbeck processes driven by α-stable Lévy motions49 cited
  • 2009Simulation and approximation of Lévy-driven stochastic differential equations46 cited
  • 2013Multilevel Monte Carlo simulation for Lévy processes based on the Wiener–Hopf factorisation42 cited
  • 2007Approximation of jump diffusions in finance and economics35 cited
  • 2009Numerical methods for Lévy processes34 cited
  • 2007Comparison of semimartingales and Lévy processes33 cited
  • 2012Comparison of semimartingales and Lévy processes32 cited
  • 2008Simulation of Lévy-driven Ornstein–Uhlenbeck processes with given marginal distribution27 cited
  • 2019Convergence and stability of the backward Euler method for jump–diffusion SDEs with super-linearly growing diffusion and jump coefficients26 cited
  • 2010Weak Error for Stable Driven Stochastic Differential Equations: Expansion of the Densities26 cited