Before revision:  By comparing our suggested approach with the other two existing 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 mBm.
After revision:  By comparing our suggested approach with the other two existing benchmark estimation approaches ( classic GQV 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 mBm.