X charts with variable sampling intervals
Technometrics
CUSUM charts with variable sampling intervals
Technometrics
A simple change detection scheme
Signal Processing - Special section on Markov Chain Monte Carlo (MCMC) methods for signal processing
Adaptive CUSUM procedures with Markovian mean estimation
Computational Statistics & Data Analysis
A control chart based on likelihood ratio test for detecting patterned mean and variance shifts
Computational Statistics & Data Analysis
Adaptive R charts with variable parameters
Computational Statistics & Data Analysis
Computers and Industrial Engineering
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The standard cumulative sum chart (CUSUM) is widely used for detecting small and moderate process mean shifts, and its optimal detection ability for any pre-specified mean shift has been demonstrated by its equivalence to continuous sequential tests. In real practice, the assumption of knowing the true mean shift in prior cannot be always met. So it is desirable to design a procedure that is efficient for detecting a range of future expected but unknown mean shifts. Adaptive CUSUM control chart, which can continuously adjust itself by a one-step forecasting operator, has been proposed to detect efficiently and robustly for a range of mean shifts in the early literature. Moreover, in terms of sampling time to signal, control chart with the VSI (variable sampling intervals) feature can detect the process changes more quickly than the traditional FSI (fixed sample intervals) chart. In this paper, a new CUSUM control chart which is based on both adaptive and VSI features is discussed. Also, a two-dimensional Markov chain model is developed to evaluate its run-time performance.