
Nearly optimal central limit theorem and bootstrap approximations in high dimensions
In this paper, we derive new, nearly optimal bounds for the Gaussian app...
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Largedimensional Central Limit Theorem with Fourthmoment Error Bounds on Convex Sets and Balls
We prove the largedimensional Gaussian approximation of a sum of n inde...
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Highdimensional Central Limit Theorems by Stein's Method
We obtain explicit error bounds for the standard ddimensional normal ap...
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Improved Central Limit Theorem and bootstrap approximations in high dimensions
This paper deals with the Gaussian and bootstrap approximations to the d...
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Notes on the dimension dependence in highdimensional central limit theorems for hyperrectangles
Let X_1,...,X_n be independent centered random vectors in R^d. This pape...
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Debiased graphical Lasso for highfrequency data
This paper develops a new statistical inference theory for the precision...
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Highdimensional central limit theorems for homogeneous sums
This paper develops a quantitative version of de Jong's central limit th...
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Mixednormal limit theorems for multiple Skorohod integrals in highdimensions, with application to realized covariance
This paper develops mixednormal approximations for probabilities that v...
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Oracle inequalities for sign constrained generalized linear models
Highdimensional data have recently been analyzed because of data collec...
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Yuta Koike
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