Before revision:  By comparing it with the other two  benchmark estimation approaches  through a simulation study, we show that our estimator has better performance in the case where the observed process is some unknown bivariate function of time and multifractional Brownian motion .
After revision:  By comparing it with the other two benchmark estimation approaches (classicial LGQV and oscillation approach) through a simulation study, we show that our estimator has better performance in the case where the observed process is some unknown bivariate function of time and multifractional Brownian motion .