Minimax lower bound for kink location estimators in a nonparametric   regression model with long-range dependence
  In this paper, a lower bound is determined in the minimax sense for change point estimators of the first derivative of a regression function in the fractional white noise model. Similar minimax results presented previously in the area focus on change points in the derivatives of a regression function in the white noise model or consider estimation of the regression function in the presence of correlated errors. 
Justin Rory Wishart
math.ST stat.TH