Kengo Kato
Selected Publications
We derive strong approximations to the supremum of the non-centered empirical process indexed by a possibly […]
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We develop uniformly valid confidence regions for regression coefficients in a high-dimensional sparse median regression model […]
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In econometric applications it is common that the exact form of a conditional expectation is unknown […]
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Slepian and Sudakov–Fernique type inequalities, which compare expectations of maxima of Gaussian random vectors under certain […]
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Modern construction of uniform confidence bands for nonparametric densities (and other functions) often relies on the […]
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This paper develops a new direct approach to approximating suprema of general empirical processes by a […]
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We derive a Gaussian approximation result for the maximum of a sum of high-dimensional random vectors. […]