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A New Generalized Range Control Chart for the Weibull Distribution

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  • Osama H. Arif
  • Muhammad Aslam

Abstract

In this study, a generalized range control chart is designed for the Weibull distribution using generally weighted moving average statistics. The proposed chart is based on minimum generally weighted moving average statistic and maximum generally weighted moving average statistics. We utilize the inverse erf function to transform the Weibull data to normal data. The necessary measures are given to assess the performance of the proposed control chart. The comparison study shows that the proposed control chart outperforms the existing control charts based on exponentially weighted moving average statistic in terms of the average run length. A real example is given for applying the proposed chart in the industry.

Suggested Citation

  • Osama H. Arif & Muhammad Aslam, 2018. "A New Generalized Range Control Chart for the Weibull Distribution," Complexity, Hindawi, vol. 2018, pages 1-8, November.
    • Handle: RePEc:hin:complx:9453589
    DOI: 10.1155/2018/9453589
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