Estimators from homogenized SDEs driven by Wiener or Hermite processes remain consistent when applied to appropriately subsampled data from the original slow/fast system with fractional OU fast variable.
Wiley-Interscience, New York Weinheim, 2nd edition edition, August 1999
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Statistical Inference for Homogenization Limits Driven by Wiener or Hermite Processes
Estimators from homogenized SDEs driven by Wiener or Hermite processes remain consistent when applied to appropriately subsampled data from the original slow/fast system with fractional OU fast variable.