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Computational procedure of assessing lifetime performance index of Weibull lifetime products with the upper record values

Author

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  • Lee, Hsiu-Mei
  • Lee, Wen-Chuan
  • Lei, Chia-Ling
  • Wu, Jong-Wuu

Abstract

Process capability indices (PCIs) are used to measure process potential and performance. This study constructs an uniformly minimum variance unbiased estimator (UMVUE) of the lifetime performance index based on the upper record values for Weibull lifetime model. Then the UMVUE of the lifetime performance index is utilized to develop the new hypothesis testing procedure in the condition of known lower specification limit. Finally, two examples are presented to assess the behavior of this test statistic for testing null hypothesis under given significance level. Moreover, the product managers can then employ the new testing procedure to determine whether the process adheres to the required level.

Suggested Citation

  • Lee, Hsiu-Mei & Lee, Wen-Chuan & Lei, Chia-Ling & Wu, Jong-Wuu, 2011. "Computational procedure of assessing lifetime performance index of Weibull lifetime products with the upper record values," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(6), pages 1177-1189.
    • Handle: RePEc:eee:matcom:v:81:y:2011:i:6:p:1177-1189
    DOI: 10.1016/j.matcom.2010.11.004
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    References listed on IDEAS

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    1. K. Chen & M. Huang, 2007. "Process Capability Evaluation for the Process of Product Families," Quality & Quantity: International Journal of Methodology, Springer, vol. 41(1), pages 151-162, February.
    2. Ching-Wen Hong & Jong-Wuu Wu & Ching-Hsue Cheng, 2009. "Implementing lifetime performance index for the pareto lifetime businesses of the service industries," Quality & Quantity: International Journal of Methodology, Springer, vol. 43(2), pages 291-304, March.
    3. Lin, Gu-Hong, 2007. "A Bayesian approach based on multiple samples for measuring process performance with incapability index," International Journal of Production Economics, Elsevier, vol. 106(2), pages 506-512, April.
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    Citations

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    Cited by:

    1. Mohammad Vali Ahmadi & Jafar Ahmadi & Mousa Abdi, 2019. "Evaluating the lifetime performance index of products based on generalized order statistics from two-parameter exponential model," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(2), pages 251-275, April.
    2. El-Adll, Magdy E., 2011. "Predicting future lifetime based on random number of three parameters Weibull distribution," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(9), pages 1842-1854.
    3. Wang, Bing Xing & Ye, Zhi-Sheng, 2015. "Inference on the Weibull distribution based on record values," Computational Statistics & Data Analysis, Elsevier, vol. 83(C), pages 26-36.
    4. Mohammad Vali Ahmadi & Mahdi Doostparast & Jafar Ahmadi, 2015. "Statistical inference for the lifetime performance index based on generalised order statistics from exponential distribution," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(6), pages 1094-1107, April.
    5. Jiang, R. & Murthy, D.N.P., 2011. "A study of Weibull shape parameter: Properties and significance," Reliability Engineering and System Safety, Elsevier, vol. 96(12), pages 1619-1626.

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