Estimating the number of equal components for two high-dimensional mean vectors

Wei Yu, Wangli Xu, Lixing Zhu*

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review


In this article, we propose a new method for estimating the number of equal components m0 of two m-dimensional population means when m is large. The proposed method can be used to estimate the number of equally expressed or differentially expressed genes in DNA microarray studies. It can also be applied in the step of estimating m0 in adaptive false discovery rate controlling procedures. Simulation results show that the bias of the moment estimator is very small for both normal and non normal data. It has higher precision than existing methods in most cases. It has more evident advantage under non normal data.

Original languageEnglish
Pages (from-to)4617-4638
Number of pages22
JournalCommunications in Statistics - Theory and Methods
Issue number19
Early online date12 Feb 2020
Publication statusPublished - 31 Aug 2021

Scopus Subject Areas

  • Statistics and Probability

User-Defined Keywords

  • DNA microarray analysis
  • false discovery rate
  • high-dimensional data
  • Multiple hypothesis testing


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