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Computational testing algorithmic procedure of assessment for lifetime performance index of products with two-parameter exponential distribution. (English) Zbl 1244.62166

Summary: Process capability indices (PCIs) are used to measure process potential and performance. Since the life time of products generally may possess an exponential, gamma or Weibull distribution, etc., so under a two-parameter exponential distribution, this study constructs a maximum likelihood estimator (MLE) of the life time performance index based on a right type II censored sample. Then the MLE of the life time performance index is utilized to develop a new hypothesis testing algorithmic procedure under the condition of known \(L\). Finally, a practical example is illustrated to employ the algorithmic testing procedure to determine whether the process is capable.

MSC:

62P30 Applications of statistics in engineering and industry; control charts
62F03 Parametric hypothesis testing
62N01 Censored data models
62F10 Point estimation
65C60 Computational problems in statistics (MSC2010)
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