Shunsuke Imai

collaborators

3 papers

stat.ME2025

Accuracy of Uniform Inference on Fine Grid Points

Shunsuke Imai

Uniform confidence bands are widely used to quantify uncertainty about unknown functions in nonparametric inference. Although various methods, including the multiplier bootstrap, h…

math.ST2025

Gaussian Approximation for High-Dimensional Weighted and Two-Sample $U$ -statistics with Size-Dependent Kernels

Shunsuke Imai

We develop Gaussian approximations for high-dimensional vectors formed by second-order $U$ -and $V$ -statistics whose kernels depend on sample size. To accommodate weighted and two-s…

math.ST2025

Gaussian Approximation for High-Dimensional $U$ -statistics with Size-Dependent Kernels

Shunsuke Imai, Yuta Koike

Motivated by small bandwidth asymptotics for kernel-based semiparametric estimators in econometrics, this paper establishes Gaussian approximation results for high-dimensional fixe…

Accuracy of Uniform Inference on Fine Grid Points

Gaussian Approximation for High-Dimensional Weighted and Two-Sample U-statistics with Size-Dependent Kernels

Gaussian Approximation for High-Dimensional U-statistics with Size-Dependent Kernels

Gaussian Approximation for High-Dimensional Weighted and Two-Sample $U$ -statistics with Size-Dependent Kernels

Gaussian Approximation for High-Dimensional $U$ -statistics with Size-Dependent Kernels