322 citations · 1.3k across the 48 of their papers we have counts for
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math.ST2019★ 25 cited
Improved Central Limit Theorem and bootstrap approximations in high dimensions
Victor Chernozhukov, Denis Chetverikov, Kengo Kato +1
This paper deals with the Gaussian and bootstrap approximations to the distribution of the max statistic in high dimensions. This statistic takes the form of the maximum over compo…
math.ST2019
Berry-Esseen bounds for Chernoff-type non-standard asymptotics in isotonic regression
Qiyang Han, Kengo Kato
A Chernoff-type distribution is a nonnormal distribution defined by the slope at zero of the greatest convex minorant of a two-sided Brownian motion with a polynomial drift. While…
math.ST2019★ 39 cited
Approximating high-dimensional infinite-order -statistics: statistical and computational guarantees
Yanglei Song, Xiaohui Chen, Kengo Kato
We study the problem of distributional approximations to high-dimensional non-degenerate -statistics with random kernels of diverging orders. Infinite-order -statistics (IOUS…