the test statistics for all angles associated with the ratios. This procedure helps in visualizing and clarifying, but …

. Hence, empirical tests for predictions are necessary. A test is manipulable if a false expert can pass the test with a high … that there is a test that is not manipulable by any computable strategies and that accepts true experts with high … probabilities. In particular, the constructed test is both future independent (Olszewski and Sandroni, 2008) and sequential (Shmaya …

multiple treatments. The paper presents a test of the hypothesis that the same stochastic process generates all the functional … data. In contrast to existing methods, the test described here applies to both functional data and multiple treatments. The … test is presented as a permutation test, which ensures that in a finite sample, the true and nominal probabilities of …