We enhance the theory of asymptotic inference about predictive ability by considering the case when a set of variables used to construct predictions is sizable. To this end, we consider an alternative asymptotic framework where the number of predictors tends to infinity with the sample size,...

Inference about predictive ability is usually carried-out in the form of pairwise comparisons between two forecasting methods. Nevertheless, some interesting questions are concerned with families of models and not just with a couple of forecasting strategies. For instance: Are time-series models...

This paper suggests Monte Carlo multiple test procedures which are provably valid in finite samples. These include combination methods originally proposed for independent statistics and further improvements which formalize statistical practice. We also adapt the Monte Carlo test method to...