Integral equations: theory and numerical treatment
Integral equations: theory and numerical treatment
Accurate ARL computation for EWMA-S2 control charts
Statistics and Computing
Computational Statistics & Data Analysis
Adaptive threshold computation for CUSUM-type procedures in change detection and isolation problems
Computational Statistics & Data Analysis
Online annotation and prediction for regime switching data streams
Proceedings of the 2009 ACM symposium on Applied Computing
New EWMA control charts for monitoring process dispersion
Computational Statistics & Data Analysis
A nonparametric exponentially weighted moving average signed-rank chart for monitoring location
Computational Statistics & Data Analysis
Evaluation of exponentially weighted moving variance control chart subject to linear drifts
Computational Statistics & Data Analysis
Journal of Computational and Applied Mathematics
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Contrary to CUSUM schemes for monitoring the mean of normally distributed random variables, there is a lack of accurate computation of the average run length (ARL) for CUSUM schemes based on the sample variance S^2, which are of importance for variance monitoring. Some very accurate methods will be suggested. Evaluating CUSUM charts based on S^2 for normal data leads to, naturally, the chi-squared distribution. Then, in the case of even degrees of freedom exact results for Erlang distributed data are employed. For odd degrees piecewise collocation methods are applied for solving the ARL integral equation. Thus, with these methods the ARL for CUSUM-S^2 schemes can be determined with high precision.