On goodness-of-fit tests for parametric hypotheses in perturbed   dynamical systems using a minimum distance estimator
  We consider the problem of the construction of the Goodness-of-Fit test in the case of continuous time observations of a diffusion process with small noise. The null hypothesis is parametric and we use a minimum distance estimator of the unknown parameter. We propose an asymptotically distribution free test for this model. 
Maroua Ben Abdeddaiem
math.ST stat.TH