Adaptive CUSUM procedures with EWMA-based shift estimators

Wei Jiang*, Lianjie Shu, Daniel W. Apley

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

107 Scopus citations


Adaptive Cumulative SUM charts (ACUSUM) have been recently proposed for providing an overall good detection over a range of mean shift sizes. The basic idea of the ACUSUM chart is to first adaptively update the reference value based on an Exponentially Weighted Moving Average (EWMA) estimate and then to assign a weight on it using a certain type of weighting function. A linear weighting function is proposed that is motivated by likelihood ratio testing concepts and that achieves superior detection performance. Moreover, in view of the lower efficiency in tracking relative large mean shifts of the EWMA estimate, a generalized EWMA estimate is proposed as an alternative. A comparison of run length performance of the proposed ACUSUM scheme and other control charts is shown to be favorable to the former.

Original languageEnglish (US)
Pages (from-to)992-1003
Number of pages12
JournalIIE Transactions (Institute of Industrial Engineers)
Issue number10
StatePublished - 2008


  • Average run length
  • Change-point detection
  • EWMA
  • Markov chain

ASJC Scopus subject areas

  • Industrial and Manufacturing Engineering


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