Since the seminal paper of Granger & Joyeux (1980), the concept of a long memory has focused the attention of many statisticians and econometricians trying to model and measure the persistence of stationary processes. Many methods for estimating d, the long-range dependence parameter, have been...

This paper is a contribution in exploring the empirical evidence of the instability in the tail behaviour returns of stock market indices, based on some developments in the analysis of structural change models. The proposed approach can jointly determine the number of structural breaks in a...

We propose two methods to predict nonstationary long-memory time series. In the first one we estimate the long-range dependent parameter d by using tapered data; we then take the nonstationary fractional filter to obtain stationary and short-memory time series. In the second method, we take...