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.
Springer, Berlin, Heidelberg, 1966
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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.