Gaussian Approximation and Spatially Dependent Wild Bootstrap for High-Dimensional Spatial Data
高维空间数据的高斯逼近与空间相依野生自助法
In this article, we establish a high-dimensional CLT for the sample mean of p-dimensional spatial data observed over irregularly spaced sampling sites in Rd, allowing the dimension p to be much larger than the sample size n. We adopt a stochastic sampling scheme that can generate irregularly spaced sampling sites in a flexible manner and include both pure increasing domain and mixed increasing domain frameworks. To facilitate statistical inference, we develop the spatially…