5 problems
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Asymptotic equivalence of full and Gaussian maxT power
Let be the matrix appearing in the maxT procedure, let denote the all-ones vector, and define … Suppose that has independent and identically distributed…
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Permutation weak-convergence conjecture for equal truncation and censoring horizons
Let be the sample sizes, let and denote the truncation and censoring horizons for group , and let , , and be…
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Sub-Gaussian and bounded-support stream-length conjecture for permutation max tests
Stream-length conjecture. If the tail of is sub-Gaussian, the requirement on the stream length can be relaxed to
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Equality of null and permutation distributions in high-dimensional settings
Let the null distribution and the permutation distribution refer to the distributions of the test statistic under the null hypothesis and under permutation, respectively. High-dime…
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The converse conjecture for permutation tests on infection graphs
Let and be general graphs, let and denote the corresponding permutation groups, let be the infection graph, and let…