Assessing the lifetime performance index of products from progressively type II right censored data using Burr XII model

Wen-Chuan Lee, Jong-Wuu Wu and Ching-Wen Hong

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 79, issue 7, 2167-2179

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 CL is a popular means to assess the performance and potential of their processes, where L is the lower specification limit. Nevertheless, many processes possess a non-normal lifetime model, the assumption of normality is often erroneous. Progressively censoring scheme is quite useful in many practical situations where budget constraints are in place or there is a demand for rapid testing. The study will apply data transformation technology to constructs a maximum likelihood estimator (MLE) of CL under the Burr XII distribution based on the progressively type II right censored sample. The MLE of CL is then utilized to develop a new hypothesis testing procedure in the condition of known L. Finally, we give two examples to illustrate the use of the testing procedure under given significance level α.

Keywords: Process capability analysis; Progressively type II right censored sample; Maximum likelihood estimator; Burr XII distribution (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:79:y:2009:i:7:p:2167-2179

DOI: 10.1016/j.matcom.2008.12.001

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