Using the generalized extreme value theory to characterize tail distributions, we address liqui- dation, leverage, and optimal margins for bitcoin long and short futures positions. The empirical analysis of perpetual bitcoin futures on BitMEX shows that (1) daily forced liquidations to out-...

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...

This monograph consists of two parts. One part is portfolio selection theory and the other part is capital asset pricing theory. For each part, a comprehensive review of the original theory, efforts to improve the theory afterwards and future works to be done are presented. Some innovative...