Computational Procedure of Performance Assessment of Lifetime Index of Products for the Weibull Distribution with the Progressive First-Failure-Censored Sampling Plan
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....
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/717184 |
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| _version_ | 1832558486079143936 |
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| author | Ching-Wen Hong Wen-Chuan Lee Jong-Wuu Wu |
| author_facet | Ching-Wen Hong Wen-Chuan Lee Jong-Wuu Wu |
| author_sort | Ching-Wen Hong |
| collection | DOAJ |
| description | 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. This study will apply the large-sample theory to construct a maximum likelihood estimator (MLE) of CL with the progressive first-failure-censored sampling plan under the Weibull distribution. The MLE of CL is then utilized to develop a new hypothesis testing procedure in the condition of known L. |
| format | Article |
| id | doaj-art-e32826a8ab7d4c3baf8df2af16b1cac0 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e32826a8ab7d4c3baf8df2af16b1cac02025-02-03T01:32:14ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/717184717184Computational Procedure of Performance Assessment of Lifetime Index of Products for the Weibull Distribution with the Progressive First-Failure-Censored Sampling PlanChing-Wen Hong0Wen-Chuan Lee1Jong-Wuu Wu2Department of Information Management, Shih Chien University, Kaohsiung Campus, Kaohsiung 84550, TaiwanDepartment of International Business, Chang Jung Christian University, Tainan 71101, TaiwanDepartment of Applied Mathematics, National Chiayi University, Chiayi City 60004, TaiwanProcess 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. This study will apply the large-sample theory to construct a maximum likelihood estimator (MLE) of CL with the progressive first-failure-censored sampling plan under the Weibull distribution. The MLE of CL is then utilized to develop a new hypothesis testing procedure in the condition of known L.http://dx.doi.org/10.1155/2012/717184 |
| spellingShingle | Ching-Wen Hong Wen-Chuan Lee Jong-Wuu Wu Computational Procedure of Performance Assessment of Lifetime Index of Products for the Weibull Distribution with the Progressive First-Failure-Censored Sampling Plan Journal of Applied Mathematics |
| title | Computational Procedure of Performance Assessment of Lifetime Index of Products for the Weibull Distribution with the Progressive First-Failure-Censored Sampling Plan |
| title_full | Computational Procedure of Performance Assessment of Lifetime Index of Products for the Weibull Distribution with the Progressive First-Failure-Censored Sampling Plan |
| title_fullStr | Computational Procedure of Performance Assessment of Lifetime Index of Products for the Weibull Distribution with the Progressive First-Failure-Censored Sampling Plan |
| title_full_unstemmed | Computational Procedure of Performance Assessment of Lifetime Index of Products for the Weibull Distribution with the Progressive First-Failure-Censored Sampling Plan |
| title_short | Computational Procedure of Performance Assessment of Lifetime Index of Products for the Weibull Distribution with the Progressive First-Failure-Censored Sampling Plan |
| title_sort | computational procedure of performance assessment of lifetime index of products for the weibull distribution with the progressive first failure censored sampling plan |
| url | http://dx.doi.org/10.1155/2012/717184 |
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