We prove the uniqueness of linear i.i.d. representations of heavy-tailed processes whose distribution belongs to the domain of attraction of an $\alpha$-stable law, with $\alpha2$. This shows the possibility to identify nonparametrically both the sequence of two-sided moving average coefficients...

The basic assumption of a structural VARMA model (SVARMA) is that it is driven by a white noise whose components are uncorrelated (or independent) and are interpreted as economic shocks, called "structural" shocks. These models have to face two kinds of identification problems. The first...

This paper revisits the filtering and prediction in noncausal and mixed autoregressive processes and provides a simple alternative set of methods that are valid for processes with infinite variances. The prediction method provides complete predictive densities and prediction intervals at any...