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Optimal simulation schemes for Levy driven stochastic differential equations
Levy-driven stochastic differential equations high order discretization schemes weak approximation regular variation
2012/4/28
We consider a general class of high order weak approximation schemes for stochastic differential equations driven by L\'evy processes with infinite activity. These schemes combine a compound Poisson a...
A Quasi-Sure Approach to the Control of Non-Markovian Stochastic Differential Equations
Stochastic optimal control non-Markovian SDE second order BSDE G-expectation random G-expectation volatility uncertainty risk measure
2011/7/5
We study stochastic differential equations (SDEs) whose drift and
diffusion coefficients are path-dependent and controlled. We construct
a value process on the canonical path space, considered simul...
Strong Taylor approximation of stochastic differential equations and application to the Lévy LIBOR model
LIBOR models stochastic differential equations L´ evy pro-cesses perturbation Taylor approximation caps, swaptions
2010/11/1
In this article we develop a method for the strong approx-imation of stochastic differential equations (SDEs) driven by L´evy pro-cesses or general semimartingales. The main ingredients of our m...