Weak order in averaging principle for stochastic differential equations with jumps
Bengong Zhang, Hongbo Fu, Li Wan and 1 more
Advances in Difference Equations · 2018
doi:10.1186/s13662-018-1638-3 (opens in a new tab)
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Abstract
Abstract In this paper, we deal with the averaging principle for a two-time-scale system of jump-diffusion stochastic differential equations. Under suitable conditions, we expand the weak error in powers of timescale parameter. We prove that the rate of weak convergence to the averaged dynamics is of order 1. This reveals that the rate of weak convergence is essentially twice that of strong convergence.
Abstract licence: CC BY
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