Comparison of different control charts for a Weibull process with type-I censoring. Issue 4 (21st April 2019)

• Record Type: Journal Article
• Authors: Bizuneh, Berihun; Wang, Fu-Kwun
• Is Part Of: Communications in statistics. Volume 48:Issue 4(2019)
• Page Start: 1088
• Page End: 1100
• Publication Date: 2019-04-21
• Subjects: Weibull process -- Conditional expected value -- Type-I censoring -- EWMA -- CUSUM; 62N01 -- 62P30; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2017.1406508
• Languages: English
• ISSNs: 0361-0918

Abstract

ABSTRACT: Some control charts have been proposed to monitor the mean of a Weibull process with type-I censoring. One type of control charts is to monitor changes in the scale parameter because it indicates changes in the mean. With this approach, we compare different control charts such as Shewhart-type and exponentially weighted moving average (EWMA) charts based on conditional expected value (CEV) and cumulative sum (CUSUM) chart based on likelihood-ratio. A simulation approach is employed to compute control limits and average run lengths. The results show that the CUSUM chart has the best performance. However, the EWMA-CEV chart is recommendable for practitioners with its competitive performance and ease of use advantage. An illustrative example is also provided.