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Computational Procedure of Performance Assessment of Lifetime Index of Products for the Weibull Distribution with the Progressive First-Failure-Censored Sampling Plan

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  • Ching-Wen Hong
  • Wen-Chuan Lee
  • Jong-Wuu Wu

Abstract

Process capability analysis has been widely applied in the field of quality control to monitor the performance of industrial processes. In practice, lifetime performance index C L is a popular means to assess the performance and potential of their processes, where L is the lower specification limit. This study will apply the large-sample theory to construct a maximum likelihood estimator (MLE) of C L with the progressive first-failure-censored sampling plan under the Weibull distribution. The MLE of C L is then utilized to develop a new hypothesis testing procedure in the condition of known L .

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  • Ching-Wen Hong & Wen-Chuan Lee & Jong-Wuu Wu, 2012. "Computational Procedure of Performance Assessment of Lifetime Index of Products for the Weibull Distribution with the Progressive First-Failure-Censored Sampling Plan," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-13, July.
    • Handle: RePEc:hin:jnljam:717184
    DOI: 10.1155/2012/717184
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    Cited by:

    1. 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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