SZodixStudyAcademic Library
ShelvesOpen access
Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated
The Euler scheme for Lévy driven stochastic differential equations : limit theorems
9 references·12 citing·41 second hop
The Euler scheme for Lévy driven stochastic differential equations : limit theorems (2004)The Euler scheme for Lévy driven stochast…Limit Theorems for Stochastic Processes (2003)Limit Theorems for Stochastic…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…Weak convergence of stochastic integrals and differential equations (1996)Weak convergence of stochasti…The Law of the Euler Scheme for Stochastic Differential Equations: II. Convergence Rate of the Density (1996)The Law of the Euler Scheme f…The 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…Weak Limit Theorems for Stochastic Integrals and Stochastic Differential Equations (1991)Weak Limit Theorems for Stoch…Convergence en loi des suites d'intégrales stochastiques sur l'espace $$\mathbb{D}$$ 1 de Skorokhod (1989)Convergence en loi des suites…Strong convergence of the Euler–Maruyama approximation for a class of Lévy-driven SDEs (2018)Strong convergence of the Eul…On the rate of convergence of strong Euler approximation for SDEs driven by Levy processes (2017)On the rate of convergence of…Local Asymptotic Mixed Normality property for discretely observed stochastic differential equations driven by stable Lévy processes (2015)Local Asymptotic Mixed Normal…Weak Error for Stable Driven Stochastic Differential Equations: Expansion of the Densities (2010)Weak Error for Stable Driven …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…Numerical simulation of BSDEs using empirical regression methods: theory and practice (2008)Numerical simulation of BSDEs…Asymptotic analysis of hedging errors in models with jumps (2008)Asymptotic analysis of hedgin…Parameter estimation for Ornstein-Uhlenbeck processes driven by α-stable Lévy motions (2007)Parameter estimation for Orns…Finite approximation schemes for Lévy processes, and their application to optimal stopping problems (2007)Finite approximation schemes …Euler scheme and tempered distributions (2005)Euler scheme and tempered dis…On the Convergence of Ordinary Integrals to Stochastic Integrals (1965)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)Limit Theorems for Stochastic Processes (1987)Stochastic Integration and Differential Equations (1990)On the robustness of backward stochastic differential equations (2002)The Euler scheme for Lévy driven stochastic differential equations: limit theorems (2004)Stochastic Integration and Differential Equations (2005)Stochastic differential equations for sticky Brownian motion (2014)Calcul Stochastique et Problèmes de Martingales (1979)Calcul d'ito sans probabilites (1981)Likelihood inference for a nonstationary fractional autoregressive model (2010)Limit theorems for nearly unstable Hawkes processes (2015)The microstructural foundations of leverage effect and rough volatility (2018)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 and Applications (1976)Sharp estimates for the convergence of the density of the Euler scheme in small time (2008)Stochastic differential equations and applications (2008)On the distances between probability density functions (2014)Multilevel Richardson–Romberg extrapolation (2017)Stochastic Differential Equations and Diffusion Processes (1983)Nonlinear Regressions with Integrated Time Series (2001)A simple unit root test against asymmetric STAR nonlinearity with an application to real exchange rates in Nordic countries (2008)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)Realized Variance and Market Microstructure Noise (2004)Estimating Covariation: Epps Effect, Microstructure Noise (2006)Ultra high frequency volatility estimation with dependent microstructure noise (2010)Weak approximation of killed diffusion using Euler schemes (2000)Estimation of Continuous-Time Markov Processes Sampled at Random Time Intervals (2004)Minimum variance importance samplingviaPopulation Monte Carlo (2007)The Fine Structure of Asset Returns: An Empirical Investigation (2002)Microstructure noise in the continuous case: The pre-averaging approach (2008)Tails, Fears, and Risk Premia (2011)
this work references cited by second hop

References

  • 2003Limit Theorems for Stochastic Processes2,529 cited
  • 1991Weak Limit Theorems for Stochastic Integrals and Stochastic Differential Equations546 cited
  • 1998Asymptotic error distributions for the Euler method for stochastic differential equations400 cited
  • 1996The law of the Euler scheme for stochastic differential equations375 cited
  • 1997The Euler scheme for Lévy driven stochastic differential equations244 cited
  • 1989Convergence en loi des suites d'intégrales stochastiques sur l'espace $$\mathbb{D}$$ 1 de Skorokhod192 cited
  • 1996The Law of the Euler Scheme for Stochastic Differential Equations: II. Convergence Rate of the Density187 cited
  • 1991Wong-Zakai Corrections, Random Evolutions, and Simulation Schemes for SDE's105 cited
  • 1996Weak convergence of stochastic integrals and differential equations89 cited

Cited by

  • 2005Euler scheme and tempered distributions57 cited
  • 2007Parameter estimation for Ornstein-Uhlenbeck processes driven by α-stable Lévy motions49 cited
  • 2009Simulation and approximation of Lévy-driven stochastic differential equations46 cited
  • 2018Strong convergence of the Euler–Maruyama approximation for a class of Lévy-driven SDEs42 cited
  • 2008Asymptotic analysis of hedging errors in models with jumps

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

41 cited
  • 2017On the rate of convergence of strong Euler approximation for SDEs driven by Levy processes36 cited
  • 2009Numerical methods for Lévy processes34 cited
  • 2008Numerical simulation of BSDEs using empirical regression methods: theory and practice28 cited
  • 2008Simulation of Lévy-driven Ornstein–Uhlenbeck processes with given marginal distribution27 cited
  • 2015Local Asymptotic Mixed Normality property for discretely observed stochastic differential equations driven by stable Lévy processes26 cited
  • 2010Weak Error for Stable Driven Stochastic Differential Equations: Expansion of the Densities26 cited
  • 2007Finite approximation schemes for Lévy processes, and their application to optimal stopping problems25 cited