A double exponentially weighted moving average chart based on likelihood ratio for monitoring an inflated Pareto process. (15th March 2019)

• Record Type: Journal Article
• Authors: Bizuneh, Berihun; Wang, Fu‐Kwun
• Is Part Of: Quality and reliability engineering international. Volume 35:Number 6(2019)
• Page Start: 1698
• Page End: 1715
• Publication Date: 2019-03-15
• Subjects: CUSUM chart -- DEWMA chart -- inflated Pareto distribution -- Monte Carlo simulation -- Shewhart type chart; Reliability (Engineering) -- Periodicals; Quality control -- Periodicals; High technology -- Periodicals; 620.00452
• DOI: 10.1002/qre.2469
• Languages: English
• ISSNs: 0748-8017

Abstract

Abstract: In this paper, we present a new chart called a likelihood ratio based double exponentially weighted moving average (LR_DEWMA) chart to monitor the shape parameter of the inflated Pareto process. Three other control charts such as the Shewhart type, the classical cumulative sum (CUSUM), and the likelihood ratio based EWMA (LR_EWMA) charts are also investigated. The performance of the control charts is evaluated by the average run length (ARL) and standard deviation of run lengths (SDRL) computed through the Monte Carlo simulation approach. Moreover, the median run length (MRL) and some other run length (RL) percentiles are also considered in some cases. Different charts have shown the best performance in different cases. In detecting smaller shifts, while the LR_DEWMA chart outperformed the other charts in terms of ARL and MRL, the CUSUM chart has shown the best performance in terms of SDRL and IQR of RLs. The application of the proposed control charts is illustrated using a chromatography analyses data from the food industry.