On comparison of the estimators of the Hurst index and the diffusion   coefficient of the fractional Gompertz diffusion process
  We study some estimators of the Hurst index and the diffusion coefficient of the fractional Gompertz diffusion process and prove that they are strongly consistent and most of them are asymptotically normal. Moreover, we compare the asymptotic behavior of these estimators with the aid of computer simulations. 
Kestutis Kubilius and Dmitrij Melichov
math.PR