A comparison of MEWMA and MCUSUM control charts for monitoring bivariate Weibull distribution

Peile Chen, Chuan He, XueLong Hu, Dan Yu and Jiujun Zhang

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 23, 7630-7650

Abstract: The Weibull distribution is applied frequently during reliability and lifetime inspections. Bivariate time between events data, such as bivariate Weibull distribution data, are commonly monitored in high-quality processes. This article investigates the multivariate cumulative sum (MCUSUM) and multivariate exponentially weighted moving average (MEWMA) control charts for monitoring decreasing process mean vector shifts in bivariate Weibull time between events (TBE) data. In addition, a multivariate rate (MRA) control chart is also proposed to enhance the performance of the MCUSUM and MEWMA charts, which are denoted as MCUSUM-MRA and MEWMA-MRA charts, respectively. The performance of the new charts is compared with the steady-state average time to signal (ATS) as an evaluation metric. Eventually, actual breast cancer data is monitored to illustrate the use of the charts.

Date: 2025
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DOI: 10.1080/03610926.2025.2479076

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