A new test on high-dimensional mean vector without any assumption on population covariance matrix

Shota Katayama, Yutaka Kano

Research output: Contribution to journalArticle

4 Citations (Scopus)


In this paper, a new test for the equality of the mean vectors between a two groups with the same number of the observations in high-dimensional data. The existing tests for this problem require a strong condition on the population covariance matrix. The proposed test in this paper does not require such conditions for it. This test will be obtained in a general model, that is, the data need not be normally distributed.

Original languageEnglish
Pages (from-to)5290-5304
Number of pages15
JournalCommunications in Statistics - Theory and Methods
Issue number24
Publication statusPublished - 2014 Dec 17
Externally publishedYes



  • Asymptotic distributions
  • High-dimensional data
  • Testing mean vector

ASJC Scopus subject areas

  • Statistics and Probability

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