On the Invertibility of Fractionally Differenced ARIMA Processes
分数差分ARIMA过程的可逆性
To evaluate how the condition for invertibility of fractional ARIMA (p, d, q) processes can be achieved, we formulate a measure based on the prediction error related to the autoregressive inversion. Some results are obtained by investigating the behaviour of the measure. A conclusion is that the condition for invertibility is satisfied when the degree of fractionally differencing d exceeds −1. As another one, it is pointed out that invertibility is not so easily achieved…