In this paper we define a family of tests for the Martingale Difference Hypothesis (MDH) based upon a shrinkage principle. Tests within this family are such that rejection of the null implies that forecasts from the alternative model, adjusted by a shrinkage factor, will display lower Mean...

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...