Weak order in averaging principle for stochastic differential equations with jumps
Probability
2018-06-01 v3
Abstract
The present article deals with the averaging principle for a two-time-scale system of jump-diffusion stochastic differential equation. Under suitable conditions, the weak error is expanded in powers of timescale parameter. It is proved that the rate of weak convergence to the averaged dynamics is of order . This reveals the rate of weak convergence is essentially twice that of strong convergence.
Cite
@article{arxiv.1701.07983,
title = {Weak order in averaging principle for stochastic differential equations with jumps},
author = {Bengong Zhang and Hongbo Fu and Li Wan and Jicheng Liu},
journal= {arXiv preprint arXiv:1701.07983},
year = {2018}
}