Department of Economics
To circumvent the limitations of the tests for coefficients of variation and Sharpe ratios, we develop the mean–variance ratio statistic for testing the equality of mean–variance ratios, and prove that our proposed statistic is the uniformly most powerful unbiased statistic. In addition, we illustrate the applicability of our proposed test for comparing the performances of stock indices.
Statistics & Probability Letters
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Link to Publisher’s Edition
Coefficient of variation, Sharpe ratio, Mean–variance ratio, Hypothesis testing, Uniformly most powerful unbiased test
Bai, Zhidong, Keyan Wang, and Wing Keung Wong. "The mean–variance ratio test—A complement to the coefficient of variation test and the Sharpe ratio test." Statistics & Probability Letters 81.8 (2011): 1078-1085.