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Computational testing algorithmic procedure of assessment for lifetime performance index of Pareto products under progressive type I interval censoring

Author

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  • Shu-Fei Wu

    (Tamkang University)

  • Jin-Yang Lu

    (National Taipei University of Business Office of Institutional Research)

Abstract

Process capability indices had been widely used to evaluate the process performance to the continuous improvement of quality and productivity. When the lifetime of products possesses a one-parameter Pareto distribution, the larger-the-better lifetime performance index is considered. The maximum likelihood estimator is used to estimate the lifetime performance index based on the progressive type I interval censored sample. The asymptotic distribution of this estimator is also investigated. We use this estimator to develop the new hypothesis testing algorithmic procedure in the condition of known lower specification limit. Finally, two practical examples are given to illustrate the use of this testing algorithmic procedure to determine whether the process is capable.

Suggested Citation

  • Shu-Fei Wu & Jin-Yang Lu, 2017. "Computational testing algorithmic procedure of assessment for lifetime performance index of Pareto products under progressive type I interval censoring," Computational Statistics, Springer, vol. 32(2), pages 647-666, June.
    • Handle: RePEc:spr:compst:v:32:y:2017:i:2:d:10.1007_s00180-017-0717-3
    DOI: 10.1007/s00180-017-0717-3
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    References listed on IDEAS

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    1. Shu-Fei Wu, 2010. "Interval estimation for the two-parameter exponential distribution under progressive censoring," Quality & Quantity: International Journal of Methodology, Springer, vol. 44(1), pages 181-189, January.
    2. Shuo‐Jye Wu & Ying‐Po Lin & Yi‐Ju Chen, 2006. "Planning step‐stress life test with progressively type I group‐censored exponential data," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 60(1), pages 46-56, February.
    Full references (including those not matched with items on IDEAS)

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