Counted Data CUSUM's

1985/05/01 by James M. Lucas · 374 citations
Decision Sciences · Engineering · Mathematics · #Advanced Statistical Process Monitoring #Artificial intelligence #CUSUM #Computer science #Fault Detection and Control Systems #Mathematics #Outlier #Process (computing) #Scientific Measurement and Uncertainty Evaluation #Statistical process control #Statistics

paper · doi:10.1080/00401706.1985.10488030

published in Technometrics 27(2), 129-144 (Taylor & Francis)

openalex publication_date 1985/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

Cumulative Sum (CUSUM) control schemes are widely used in industry for process and measurement control. Most CUSUM applications have been for continuous variables. There have been fewer uses of CUSUM control schemes when the response is a count such as the number of defects per unit or the occurrence of an accident. This article describes design and implementation procedures for counted data CUSUM's (these are sometimes called CUSUM's for attributes). These CUSUM's are easy to design and implement; they can be used to detect both increases and decreases in the count level. Enhancements to the CUSUM scheme, including the fast initial response (FIR) feature and the robust CUSUM are discussed. These enhancements speed up the detection of changes in the count level and guard against the effects of atypical or outlier observations.

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