We describe a post hoc test for the Sharpe ratio, analogous to Tukey's test for pairwise equality of means. The test can be applied after rejection of the hypothesis that all population Signal-Noise ratios are equal. The test is applicable under a simple correlation structure among asset returns. Simulations indicate the test maintains nominal type I rate under a wide range of conditions and is moderately powerful under reasonable alternatives.
翻译:我们描述了一种针对夏普比率的事后检验,类似于用于均值两两比较的Tukey检验。该检验可在拒绝所有总体信噪比相等的假设后应用。该检验适用于资产收益具有简单相关结构的情形。模拟结果表明,该检验在多种条件下能维持名义第一类错误率,并在合理的备择假设下具有中等水平的检验功效。