A generally weighted moving average chart for time between events. Issue 10 (26th November 2017)

• Record Type: Journal Article
• Authors: Chakraborty, N.; Human, S.W.; Balakrishnan, N.
• Is Part Of: Communications in statistics. Volume 46:Issue 10(2017)
• Page Start: 7790
• Page End: 7817
• Publication Date: 2017-11-26
• Subjects: Average run-length -- GWMA chart -- Markov chain -- Simulation -- Time between events; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2016.1252397
• Languages: English
• ISSNs: 0361-0918

Abstract

ABSTRACT: Shewhart-type attribute charts are known to be inefficient for small changes in monitoring nonconformities. An alternative way is to use a time-weighted chart to monitor the time between events (TBE). We propose a one-sided Generally Weighted Moving Average control chart to monitor the time between events (TBE); regarded as the GWMA-TBE chart. To aid the implementation of the chart, the necessary design parameters are provided. An extensive performance analysis shows that the GWMA-TBE chart is better than the well-known EWMA and Shewhart charts at detecting very small to moderate changes. Finally, a summary and some conclusions are provided.