English

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

Probability 2022-04-18 v2

Abstract

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 (ts)α(t-s)^\alpha, where α(12,12)\alpha \in (-\frac 12, \frac 12).

Keywords

Cite

@article{arxiv.2203.02460,
  title  = {Error Distribution Of The Euler Approximation Scheme For Stochastic Volterra Integral Equations},
  author = {David Nualart and Bhargobjyoti Saikia},
  journal= {arXiv preprint arXiv:2203.02460},
  year   = {2022}
}

Comments

36 pages

R2 v1 2026-06-24T10:02:30.533Z