Noncausal, or anticipative, heavy-tailed processes generate trajectories featuring locally explosive episodes akin to speculative bubbles in financial time series data. For $(X_t)$ a two-sided infinite $\alpha$-stable moving average (MA), conditional moments up to integer order four are shown to...

In this paper we show that survey-based-expectations about the future evolution of the Chilean exchange rate have the ability to predict the returns of the six primary non-ferrous metals: aluminum, copper, lead, nickel, tin and zinc. Predictability is also found for returns of the London Metal...

This paper investigates one-step ahead density forecasts of mixed causal-noncausal models. We compare the sample-based and the simulations-based approaches respectively developed by Gouriéroux and Jasiak (2016) and Lanne, Luoto, and Saikkonen (2012). We focus on explosive episodes and therefore...

This paper investigates one-step ahead density forecasts of mixed causal-noncausal models. It analyses and compares two data-driven approaches. The paper focuses on explosive episodes and therefore on predicting turning points of bubbles. Guidance in using these approximation methods are...