We propose the outperformance probability as a new performance measure, which can be used in order to compare a strategy with a specified benchmark, and develop the basic statistical properties of its maximum-likelihood estimator in a Brownian-motion framework. The given results are used to...

An intersection–union test for supporting the hypothesis that a given investment strategy is optimal among a set of alternatives is presented. It compares the Sharpe ratio of the benchmark with that of each other strategy. The intersection–union test takes serial dependence into account and...

We reconsider the question of whether beta-centric hedge fund activity is predictive of superior performance. We construct a measure of overall beta activity of fund managers, Beta Activity, and find evidence that top beta active managers deliver superior long term out-of-sample performance...