Before revision:  We first show that  for general \phi-divergences, a DRO problem is asymptotically equivalent to a class of mean-deviation problems , where the ambiguity radius controls investor's risk preference . Based on this non-robust reformulation, we then show that when a boundedness constraint is added to the investment strategy.
After revision:  We first show that for general \phi-divergences, a DRO problem is asymptotically equivalent to a class of mean-deviation problems . These mean-deviation problems are not subject to uncertain distributions, and the ambiguity radius controls investor's risk preference . Based on this non-robust reformulation, we then show that when a boundedness constraint is added to the investment strategy.