This paper investigates some structural properties of a family of GARCH processes. A simple sufficient condition for the existence of the αδ-order stationary solution of the processes is derived, where α element of (0, 1] and δ 0. The solution is strictly stationary and ergodic, and the...

In this selective review, we first provide some empirical examples that motivate the usefulness of semi-nonparametric techniques in modelling economic and financial time series. We describe popular classes of semi-nonparametric dynamic models and some temporal dependence properties. We then...

Compared to the conditional mean or median, conditional quantiles provide a more comprehensive picture of a variable in various scenarios. A semi-parametric quantile estimation method for a double threshold auto-regression with exogenous regressors and heteroskedasticity is considered, allowing...

The availability of high frequency databases makes possible to understand financial market dynamics and test some of hypothesis brought up by the microstructure theory. In that way, many formulations have been suggested. One of the first proposals to model event based high frequency data has...