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

Shu-Fei Wu () and Jin-Yang Lu
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Shu-Fei Wu: Tamkang University
Jin-Yang Lu: National Taipei University of Business Office of Institutional Research

Computational Statistics, 2017, vol. 32, issue 2, No 12, 647-666

Abstract: 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.

Keywords: Progressive type I interval censored sample; Pareto distribution; Maximum likelihood estimator; Process capability indices (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s00180-017-0717-3

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