Before revision:  . The estimation of  linear loading spaces of the unit-root factors and the stationary components is achieved by an eigenanalysis of some nonnegative definite matrix , and the separation between the stationary factors and the white noises is based on an eigenanalysis and a projected principal component analysis . Asymptotic properties of the proposed method are established for both fixed p and diverging p as the sample size n tends to infinity. Both simulated and real examples are used to demonstrate the performance of the proposed method in finite samples  .
After revision:  . The estimation of linear loading spaces of the unit-root factors and the stationary components is achieved by an eigenanalysis of some nonnegative definite matrix , and the separation between the stationary factors and the white noises is based on an eigenanalysis and a projected principal component analysis . Asymptotic properties of the proposed method are established for both fixed p and diverging p as the sample size n increases, and use simulation and a real example to demonstrate the performance of the proposed method in finite samples .