A Bootstrap Approach to Cumulative Sum (CUSUM) and Exponentially Weighted Moving Average (EWMA) Control Charts for Monitoring Process Means
1 Department of Mathematics and Statistics, Faculty of Physical Sciences, Ambrose Alli University, Ekpoma, Edo State, Nigeria.
2 Department of Mathematics and Statistics, Ambrose Alli University, Ekpoma, Nigeria
3 In Control, Out of Control Department of Mathematics and Statistics, Ambrose Alli University, Ekpoma, Nigeria
* Corresponding author: ojbraimah2014@gmail.com
2 Department of Mathematics and Statistics, Ambrose Alli University, Ekpoma, Nigeria
3 In Control, Out of Control Department of Mathematics and Statistics, Ambrose Alli University, Ekpoma, Nigeria
* Corresponding author: ojbraimah2014@gmail.com
Abstract
This research proposed a bootstrapped method for setting control
boundaries and detecting out-of-control signals. The proposed
approaches for determining control limits are designed to address
the issues of distributional assumptions and out-of-control signal
detection. It enables the setting of control limits, which can
improve the detection of the out control signal, according to
the results of the performance evaluation. When compared to
previous methods, bootstrapped methods improve the discovery
of out of control signals in any process mean. The methods
outperformed the conventional CUSUM, EWWMA and EWMA
CUSUM control chart in detection of early shift in a process mean.
Keywords
Bootstrap
Upper Control Limit
Lower Control Limit
Shift
In Control
Out of Control
How to Cite
Braimah, O. J., Omotoso, S. A., Ikpotokin, O., & Ogbeide, E. M. (2021). A Bootstrap Approach to Cumulative Sum (CUSUM) and Exponentially Weighted Moving Average (EWMA) Control Charts for Monitoring Process Means. Nigerian Journal of Mathematics and Applications, 31(1), 108−129. https://doi.org/10.67897/njma.2021.e35txbt7
O. J. Braimah, S. A. Omotoso, O. Ikpotokin, and E. M. Ogbeide, "A Bootstrap Approach to Cumulative Sum (CUSUM) and Exponentially Weighted Moving Average (EWMA) Control Charts for Monitoring Process Means," Nigerian Journal of Mathematics and Applications, vol. 31, no. 1, pp. 108−129, July 2021. doi: 10.67897/njma.2021.e35txbt7