We propose a performance index for ranking risky projects, termed the fractional-order Omega. The proposed index is consistent with the fractional-order stochastic dominance in between the first- and the second-order stochastic dominance, and bridges the traditional Omega and the second-order Omega. To illustrate its empirical applicability, we utilize the index to develop a market timing strategy. Empirical results show that the market timing strategy, which aims to maximize the fractional-order Omega ex ante, generally performs well ex post.
