CEV-Hybrid Dewma charts for censored data using Weibull distribution

Abstract

In this article, a conditionally expected value (CEV) hybrid double exponentially weighted moving average (DEWMA) (named as CEVHDEWMA) control chart for monitoring the mean of Weibull distribution assuming type-I censored data is introduced. The average run length (ARL) is used as the performance assessment criterion for the new proposal. In addition to proposing CEVHDEWMA chart, we also compare its performance to simple hybrid DEWMA chart for censored data and show that the new proposal is more efficient for the detection of an out-of-control situation under different censoring rates. Effect of estimation on the in-control and out-of-control ARL is also studied in this article. To show the application of the proposal in practice, two real-life examples are also a part of this study.

Keywords:

• conditional expected value
• censored data monitoring
• censoring rate
• hybrid double exponential weighted moving average chart
• Weibull distribution

Acknowledgements

The authors are deeply thankful to editor and reviewers for their valuable suggestions to improve the quality of this manuscript.