标题： 基于空间符号的高维位置检验 显示英文标题

标题： Spatial-Sign based High-Dimensional Location Test

摘要： 在本文中，我们考虑高维情况下检验均值向量的问题。我们提出了一种基于空间符号的新鲁棒标量变换不变检验。所提出的检验统计量在椭圆分布下渐近正态。模拟研究显示，我们的检验在广泛分布范围内非常稳健和高效。 显示英文摘要

摘要： In this paper, we consider the problem of testing the mean vector in the high dimensional settings. We proposed a new robust scalar transform invariant test based on spatial sign. The proposed test statistic is asymptotically normal under elliptical distributions. Simulation studies show that our test is very robust and efficient in a wide range of distributions.