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On Efficient Monitoring of Weibull Lifetimes Using Censored Median Hybrid DEWMA Chart

Author

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  • Syed Muhammad Muslim Raza
  • Sajid Ali
  • Ismail Shah
  • Lichen Wang
  • Zhen Yue

Abstract

A control chart named as the hybrid double exponentially weighted moving average (HDEWMA) to monitor the mean of Weibull distribution in the presence of type-I censored data is proposed in this study. In particular, the focus of this study is to use the conditional median (CM) for the imputation of censored observations. The control chart performance is assessed by the average run length (ARL). A comparison between CM-DEWMA control chart and CM-based HDEWMA control chart is also presented in this article. Assuming different shift sizes and censoring rates, it is observed that the proposed control chart outperforms the CM-DEWMA chart. The effect of estimation, particularly the scale parameter estimation, on ARL is also a part of this study. Finally, a practical example is provided to understand the application and to investigate the performance of the proposal in practical scenarios.

Suggested Citation

  • Syed Muhammad Muslim Raza & Sajid Ali & Ismail Shah & Lichen Wang & Zhen Yue, 2020. "On Efficient Monitoring of Weibull Lifetimes Using Censored Median Hybrid DEWMA Chart," Complexity, Hindawi, vol. 2020, pages 1-10, June.
    • Handle: RePEc:hin:complx:9232506
    DOI: 10.1155/2020/9232506
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