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Computational testing algorithmic procedure of assessment for lifetime performance index of products with two-parameter exponential distribution based on the multiply type II censored sample
Abstract:Process capability indices have been widely used to evaluate the process performance to the continuous improvement of quality and productivity. Since the lifetime of products may possess a two-parameter exponential distribution, 14 estimators are used to estimate the lifetime performance index based on the multiply type II censored sample. These estimators are utilized to develop the new hypothesis testing algorithmic procedure in the condition of known L. Finally, two practical examples are illustrated to employ the testing algorithmic procedure to determine whether the process is capable.
Keywords:process capability indices  exponential distribution  multiply type II censored sample  weighted moments estimator  approximate maximum-likelihood estimator  best linear unbiased estimator  testing algorithmic procedure
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