2 problems
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Yanushkevichiene's optimality conjecture for Gaussian approximation rates
Let a heavy-tailed multivariate average be approximated by a Gaussian distribution, and consider a carefully chosen sequence of Euclidean balls as the measurable sets on which the…
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The optimal high-dimensional rate conjecture for Gaussian approximation of U-statistics
Optimal-rate conjecture. The optimal rate for in the high-dimensional setting is