3 problems
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Accuracy of the multiple-testing approximation formulas beyond the stated ranges
Let denote the sample size and let denote the familywise error rate, with approximation formulas relating the familywise error rate to the pointwise type I error rate.…
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Uniform-design conjecture for tube-volume optimality in Fourier regression
Let denote the number of terms in the Fourier regression, and consider the discrete uniform design with equally spaced design points and equal weights. The corresponding weight…
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Extension of the uniform confidence-band theorem to functional autoregression
Let , and suppose the conditions under which Theorem 1 holds, including the relevant assumptions on t…