Combined CUSUM–Shewhart Schemes for Binomial Data
Copyright policy )Combined CUSUM–Shewhart Schemes for Binomial Data
Summary: The detection of upward shifts in a process parameter using a CUSUM scheme can be improved by using an upper one-sided combined CUSUM-Shewhart scheme. Considerable advantage is to be gained since combined schemes take advantage of two well known facts: the Shewhart schemes behave well in case of a large shift, while CUSUM schemes allow a fast detection of small and moderate shifts. Having this in mind, upper one-sided combined CUSUM-Shewhart schemes for binomial data are discussed in detail. Numerical comparisons between upper one-sided combined CUSUM-Shewhart schemes and upper one-sided CUSUM schemes with a 50\% head start are also carried out, leading to -- what we believe -- surprising results.
discrete-time Markov chains, control scheme, statistical process control, Applications of statistics in engineering and industry; control charts, run length, control charts
discrete-time Markov chains, control scheme, statistical process control, Applications of statistics in engineering and industry; control charts, run length, control charts
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