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Implementing lifetime performance index of products with two-parameter exponential distribution

Author

Listed:
  • Hsiu-Mei Lee
  • Jong-Wuu Wu
  • Chia-Ling Lei
  • Wen-Liang Hung

Abstract

The manufacturing industry has prioritised enhancing the quality, lifetime and conforming rate of products. Process capability indices (PCIs) are used to measure process potential and performance. The process capability is evaluated with product survival time and a longer lifetime implies a better process capability and a higher reliability. In order to save experimental time and cost, a censored sample arises in practice. In the case of product possessing a two-parameter exponential distribution, this study constructs a uniformly minimum variance unbiased estimator (UMVUE) of the lifetime performance index based on the type II right-censored sample. Then the UMVUE of the lifetime performance index is utilised to develop the new hypothesis testing procedure in the condition of known lower specification limit. Finally, two practical examples are illustrated to employ the testing procedure to determine whether the product is reliable.

Suggested Citation

  • Hsiu-Mei Lee & Jong-Wuu Wu & Chia-Ling Lei & Wen-Liang Hung, 2011. "Implementing lifetime performance index of products with two-parameter exponential distribution," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(8), pages 1305-1321.
    • Handle: RePEc:taf:tsysxx:v:42:y:2011:i:8:p:1305-1321
    DOI: 10.1080/00207721.2010.494774
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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. Tzong-Ru Tsai & Hua Xin & Ya-Yen Fan & Yuhlong Lio, 2022. "Bias-Corrected Maximum Likelihood Estimation and Bayesian Inference for the Process Performance Index Using Inverse Gaussian Distribution," Stats, MDPI, vol. 5(4), pages 1-18, November.
    3. Jianping Zhu & Hua Xin & Chenlu Zheng & Tzong-Ru Tsai, 2021. "Inference for the Process Performance Index of Products on the Basis of Power-Normal Distribution," Mathematics, MDPI, vol. 10(1), pages 1-14, December.
    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.

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