The code performs the simulation of time series with autoregressive fractionally integrated moving average (ARFIMA) models that generalize ARIMA (autoregressive integrated moving average) and ARMA autoregressive moving average models. ARFIMA models allow non-integer values of the differencing parameter and are useful in modeling time series with long memory. The model is generally represented as RFIMA(p,d,q) model where d is the differencing parameter and p and q are the order of the autoregressive and moving average parts of the model respectively. -The code performs the simulation of time series with autoregressive fractionally integrated moving average (ARFIMA) models that generalize ARIMA (autoregressive integrated moving average) and ARMA autoregressive moving average models. ARFIMA models allow non-integer values of the differencing parameter and are useful in modeling time series with long memory. The model is generally represented　as RFIMA(p,d,q) model where d is the differencing parameter and p and q are the order of the autoregressive and moving average parts of the model respectively.