This paper proposes a new class of nonlinear interval models for interval-valued time series (ITS). By matching the interval model with interval observations, we develop a nonlinearminimum-distance estimation method for the proposed models, and establish the asymptotictheory for the proposed...

By decomposing asset returns into potential maximum gain (PMG) and potential maximum loss (PML) with price extremes, this study empirically investigated the relationships between PMG and PML. We found significant asymmetry between PMG and PML. PML significantly contributed to forecasting PMG but...