Fast Initial Response for CUSUM Quality-Control Schemes: Give Your CUSUM A Head Start

By J. Lucas, R. Crosier. Technometrics, 2000

309 citations recorded by the source corpus.

Subfields: Industrial and Manufacturing Engineering, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/9009711a9b47300bf0ea6a591fad9aa339fbd84f

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Citations in the corpus

The Use of Control Charts in Health-Care and Public-Health Surveillance (2006, methodology): “I strongly encourage the use of runlength performance measures such as ARL, ANOS, and ATS, not error probabilities, to construct and to evaluate the performance of control charts in Phase Journal of Quality Technology Vol. 38, No. 2, April 2006”
Robust CUSUM Control Charting (2013, methodology): “Lucas and Crosier (1982) proposed the use of a fast initial response (FIR) feature with the CUSUM charts in which they recommended not to set the initial values of CUSUM statistics equal to zero.”
Double-sampling control charts for attributes (2011, background): “Such ‘head-start’ is known as ‘fast initial response (FIR) feature’ (Lucas and Crosier [27] recommend using, in this case, S+ 0 = H/2).”
The geometric CUSUM chart with sampling inspection for monitoring fraction defective (2001, methodology): “In the case of the binomial CUSUM, information on this approach is provided in Lucas (1985), Gan (1993), and in Reynolds & Stoumbos (1999), while Bourke (1991) provides corresponding information for the geometric CUSUM.”
MULTIVARIATE CUMULATIVE SUM CONTROL CHARTS BASED ON PROJECTION PURSUIT (2001, background): “In this situation Lucas and Crosier (1982) proposed the Fast Initial Response (FIR) CUSUM chart for a univariate normal mean by giving the CUSUM a “head start”.”
An EWMA-Type Control Chart for Monitoring the Process Mean Using Auxiliary Information (2014, unknown): “…4.78 6.27 9.81 2 2.24 2.43 2.66 2.94 3.39 4.46 2.5 1.66 1.77 1.92 2.09 2.26 2.62 3 1.34 1.41 1.51 1.62 1.70 1.82 4 1.07 1.09 1.12 1.16 1.18 1.20 5 1.01 1.01 1.01 1.02 1.03 1.03 initial response (FIR) CUSUM and FIR EWMA presented by Lucas and Crosier (1982) and Rhoads et al. (1996), respectively.”
The CUSUM and the EWMA Head-to-Head (2014, background): “Lucas and Crosier (1982) motivated this approach, calling it the fast initial response CUSUM.”
EWMA control charts for monitoring high-yield processes based on non-transformed observations (2008, methodology): “Given a CUSUM design, one of the ways commonly used to enhance the performance of the CUSUM chart is to apply the fast initial response (FIR) feature to the chart (Lucas and Crosier 1982).”
A synthetic double sampling control chart for the process mean (2010, background): “…head start feature, the synthetic chart is more sensitive in detecting an out-of-control situation at first time points, as in the case of an Exponentially Weighted Moving Average (EWMA) or cumulative sum charts with a head start ∗Corresponding author (Lucas and Crosier, 1982; Rhoads et al., 1996).”
Fast initial response features for EWMA control charts (2005, background): “Additionally, sometimes it is necessary to make the detection scheme more sensitive for the first time points, as is recommended in Lucas & Crosier (1982) for CUSUM control charts.”
The computation of average run length and average time to signal: an overview (2014, methodology): “Crosier [69] proposed the concept of SSARL, that is, the weighted average of ARLs given the initial values of the monitoring statistics, using the steady-state distribution of monitoring statistics values as the weights.”