Shunsuke Imai

collaborators

Showing math.STShow all

2 papers · 1 filter

math.ST2025

Gaussian Approximation for High-Dimensional Second-Order $U$ - and $V$ -statistics with Size-Dependent Kernels under i.n.i.d. Sampling

Shunsuke Imai

We develop Gaussian approximations for high-dimensional vectors formed by second-order $U$ - and $V$ -statistics whose kernels depend on sample size under independent but not identic…

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…

Gaussian Approximation for High-Dimensional Second-Order U- and V-statistics with Size-Dependent Kernels under i.n.i.d. Sampling

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

Gaussian Approximation for High-Dimensional Second-Order $U$ - and $V$ -statistics with Size-Dependent Kernels under i.n.i.d. Sampling

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