##Statistics Seminar##\\ Department of Mathematics and Statistics ^ **DATE:**|Thursday, October 12, 2023 | ^ **TIME:**|1:15pm -- 2:15pm | ^ **LOCATION:**|WH 100E | ^ **SPEAKER:**|Baozhen Wang, Binghamton University | ^ **TITLE:**|E-values: Calibration, combination and applications | \\ **Abstract** Multiple testing of a single hypothesis and testing multiple hypotheses are usually done in terms of p-values. In this paper, the authors replace p-values with their natural competitor, e-values, which are closely related to betting, Bayes factors and likelihood ratios. They demonstrate that e-values are often mathematically more tractable; in particular, in multiple testing of a single hypothesis, e-values can be merged simply by averaging them. This allows us to develop efficient procedures using e-values for testing multiple hypotheses.