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July 30, 2026Stat

Note on High‐Dimensional Spatial–Sign Test for One‐Sample Problem

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Authors

PZPing ZhaoLFLong Feng

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Overview

Randomized trial assesses critical values of the spatial-sign test, suggesting effective implementation methods.

Key Points

  • This work aims to revisit the null distribution of the high-dimensional spatial-sign test under various covariance structures to improve practical applications.
  • Proposed a multiplier bootstrap procedure for calculating critical values.
  • Established asymptotic validity for Rademacher and Gaussian multipliers.
  • Numerical experiments indicate the bootstrap tests maintain accurate size control in various dependence settings.
  • The standardized statistic may converge to a non-Gaussian limit with both normal and chi-square components.

Cite This Study

Zhao et al. (2026) studied this question.

synapsesocial.com/papers/6a6af52c60e2b924d3ea0f4chttps://doi.org/10.1002/sta4.70169
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