Approximation of expectation of diffusion processes based on Lie algebra and Malliavin calculus
From MaRDI portal
Publication:5692192
DOI10.1007/978-4-431-68450-3_4zbMath1111.60035OpenAlexW52263754MaRDI QIDQ5692192
Publication date: 27 September 2005
Published in: Advances in Mathematical Economics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-4-431-68450-3_4
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (45)
A weak approximation with asymptotic expansion and multidimensional Malliavin weights ⋮ Monte Carlo construction of cubature on Wiener space ⋮ Algebraic structure of vector fields in financial diffusion models and its applications ⋮ An operator approach for Markov chain weak approximations with an application to infinite activity Lévy driven SDEs ⋮ Asymptotics Beats Monte Carlo: The Case of Correlated Local Vol Baskets ⋮ Asymptotic Expansion Approach in Finance ⋮ Weak approximation of SDEs for tempered distributions and applications ⋮ Cubature on Wiener space: pathwise convergence ⋮ Variance reduction for discretised diffusions via regression ⋮ A high order weak approximation for jump-diffusions using Malliavin calculus and operator splitting ⋮ Total variation bound for Milstein scheme without iterated integrals ⋮ A new algorithm for computing path integrals and weak approximation of SDEs inspired by large deviations and Malliavin calculus ⋮ Gaussian K-scheme: justification for KLNV method ⋮ Derandomization of the Euler scheme for scalar stochastic differential equations ⋮ Approximation of Stochastic Volterra Equations with kernels of completely monotone type ⋮ Random splitting of fluid models: unique ergodicity and convergence ⋮ A new extrapolation method for weak approximation schemes with applications ⋮ Construction of a Third-Order K-Scheme and Its Application to Financial Models ⋮ Exact and high-order discretization schemes for Wishart processes and their affine extensions ⋮ Approximation of Markov semigroups in total variation distance under an irregular setting: an application to the CIR process ⋮ A second-order weak approximation of SDEs using a Markov chain without Lévy area simulation ⋮ Acceleration of automatic differentiation of solutions to parabolic partial differential equations: a higher order discretization ⋮ An Arbitrary High Order Weak Approximation of SDE and Malliavin Monte Carlo: Analysis of Probability Distribution Functions ⋮ On the complexity of computing quadrature formulas for marginal distributions of SDEs ⋮ Cubature methods for stochastic (partial) differential equations in weighted spaces ⋮ Cubature on Wiener space in infinite dimension ⋮ Convergence in total variation distance of a third order scheme for one-dimensional diffusion processes ⋮ Deterministic quadrature formulas for SDEs based on simplified weak Itô-Taylor steps ⋮ Higher-order interpolated lattice schemes for multidimensional option pricing problems ⋮ A new higher-order weak approximation scheme for stochastic differential equations and the Runge-Kutta method ⋮ On The Error Estimate for Cubature on Wiener Space ⋮ An approximation scheme for diffusion processes based on an antisymmetric calculus over Wiener space ⋮ Efficient Second-order Weak Scheme for Stochastic Volatility Models ⋮ Recent advances in various fields of numerical probability ⋮ A second-order discretization with Malliavin weight and Quasi-Monte Carlo method for option pricing ⋮ A weak approximation method for irregular functionals of hypoelliptic diffusions ⋮ Application of the Kusuoka approximation with a tree-based branching algorithm to the pricing of interest-rate derivatives under the HJM model ⋮ Second Order Discretization of Bismut--Elworthy--Li Formula: Application to Sensitivity Analysis ⋮ Higher-order Discretization Methods of Forward-backward SDEs Using KLNV-scheme and Their Applications to XVA Pricing ⋮ Cubature Methods and Applications ⋮ Uniform in time estimates for the weak error of the Euler method for SDEs and a pathwise approach to derivative estimates for diffusion semigroups ⋮ Constructive Quantization and Multilevel Algorithms for Quadrature of Stochastic Differential Equations ⋮ Efficient simulation methods for the Quasi-Gaussian term-structure model with volatility smiles: practical applications of the KLNV-scheme ⋮ Short Communication: A Gaussian Kusuoka Approximation without Solving Random ODEs ⋮ A higher order weak approximation scheme of multidimensional stochastic differential equations using Malliavin weights
This page was built for publication: Approximation of expectation of diffusion processes based on Lie algebra and Malliavin calculus