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  • 标题:Weak order in averaging principle for stochastic differential equations with jumps
  • 本地全文:下载
  • 作者:Bengong Zhang ; Hongbo Fu ; Li Wan
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2018
  • 卷号:2018
  • 期号:1
  • 页码:197
  • DOI:10.1186/s13662-018-1638-3
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要: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.
  • 关键词:Jump-diffusion ; Averaging principle ; Invariant measure ; Weak convergence ; Asymptotic expansion
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