论文标题

随机Volterra积分方程的Euler近似方案的误差分布

Error Distribution Of The Euler Approximation Scheme For Stochastic Volterra Integral Equations

论文作者

Nualart, David, Saikia, Bhargobjyoti

论文摘要

本文的目的是在Euler近似方案中建立归一化误差的分布的收敛性,用于由标准的布朗运动驱动的随机伏尔泰方程,其构成$(t-s)^α$的内核,其中$α\ in( - \ frac 12,\ frac 12)$。

The purpose of this paper is to establish the convergence in distribution of the normalized error in the Euler approximation scheme for stochastic Volterra equations driven by a standard Brownian motion, with a kernel of the form $(t-s)^α$, where $α\in (-\frac 12, \frac 12)$.

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