Macroeconomic time series often involve a threshold effect in theirARMA representation, and exhibit long memory features. In this paperwe introduce a new class of threshold ARFIMA models to account forthis. The threshold effect is introduced in the autoregressive and/or thefractional integration...

The objective of this paper is to extend the results on Pseudo Maximum Likelihood(PML) theory derived in Gourieroux, Monfort, and Trognon (GMT)(1984) to a situation where the rst four conditional moments are specied.Such an extension is relevant in light of pervasive evidence that conditional...