Order thresholding

Min Hee Kim, Michael G. Akritas

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


A new thresholding method, based on L-statistics and called order thresholding, is proposed as a technique for improving the power when testing against high-dimensional alternatives. The new method allows great flexibility in the choice of the threshold parameter. This results in improved power over the soft and hard thresholding methods. Moreover, order thresholding is not restricted to the normal distribution. An extension of the basic order threshold statistic to high-dimensional ANOVA is presented. The performance of the basic order threshold statistic and its extension is evaluated with extensive simulations.

Original languageEnglish (US)
Pages (from-to)2314-2350
Number of pages37
JournalAnnals of Statistics
Issue number4
StatePublished - Aug 2010

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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