Evaluating the Lifetime Performance Index Based on the Bayesian Estimation for the Rayleigh Lifetime Products with the Upper Record Values
Quality management is very important for many manufacturing industries. Process capability analysis has been widely applied in the field of quality control to monitor the performance of industrial processes. Hence, the lifetime performance index CL is utilized to measure the performance of product,...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/547209 |
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| author | Wen-Chuan Lee Jong-Wuu Wu Ching-Wen Hong Shie-Fan Hong |
| author_facet | Wen-Chuan Lee Jong-Wuu Wu Ching-Wen Hong Shie-Fan Hong |
| author_sort | Wen-Chuan Lee |
| collection | DOAJ |
| description | Quality management is very important for many manufacturing industries. Process capability analysis has been widely applied in the field of quality control to monitor the performance of industrial processes. Hence, the lifetime performance index CL is utilized to measure the performance of product, where L is the lower specification limit. This study constructs a Bayesian estimator of CL under a Rayleigh distribution with the upper record values. The Bayesian estimations are based on squared-error loss function, linear exponential loss function, and general entropy loss function, respectively. Further, the Bayesian estimators of CL are utilized to construct the testing procedure for CL based on a credible interval in the condition of known L. The proposed testing procedure not only can handle nonnormal lifetime data, but also can handle the upper record values. Moreover, the managers can employ the testing procedure to determine whether the lifetime performance of the Rayleigh products adheres to the required level. The hypothesis testing procedure is a quality performance assessment system in enterprise resource planning (ERP). |
| format | Article |
| id | doaj-art-f90b1f223b7746c08e95b2d7ba948815 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f90b1f223b7746c08e95b2d7ba9488152025-02-03T07:24:51ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/547209547209Evaluating the Lifetime Performance Index Based on the Bayesian Estimation for the Rayleigh Lifetime Products with the Upper Record ValuesWen-Chuan Lee0Jong-Wuu Wu1Ching-Wen Hong2Shie-Fan Hong3Department of International Business, Chang Jung Christian University, Tainan 71101, TaiwanDepartment of Applied Mathematics, National Chiayi University, 300 Syuefu Road, Chiayi City 60004, TaiwanDepartment of Information Management, Shih Chien University, Kaohsiung Campus, Kaohsiung 84550, TaiwanDepartment of Applied Mathematics, National Chiayi University, 300 Syuefu Road, Chiayi City 60004, TaiwanQuality management is very important for many manufacturing industries. Process capability analysis has been widely applied in the field of quality control to monitor the performance of industrial processes. Hence, the lifetime performance index CL is utilized to measure the performance of product, where L is the lower specification limit. This study constructs a Bayesian estimator of CL under a Rayleigh distribution with the upper record values. The Bayesian estimations are based on squared-error loss function, linear exponential loss function, and general entropy loss function, respectively. Further, the Bayesian estimators of CL are utilized to construct the testing procedure for CL based on a credible interval in the condition of known L. The proposed testing procedure not only can handle nonnormal lifetime data, but also can handle the upper record values. Moreover, the managers can employ the testing procedure to determine whether the lifetime performance of the Rayleigh products adheres to the required level. The hypothesis testing procedure is a quality performance assessment system in enterprise resource planning (ERP).http://dx.doi.org/10.1155/2013/547209 |
| spellingShingle | Wen-Chuan Lee Jong-Wuu Wu Ching-Wen Hong Shie-Fan Hong Evaluating the Lifetime Performance Index Based on the Bayesian Estimation for the Rayleigh Lifetime Products with the Upper Record Values Journal of Applied Mathematics |
| title | Evaluating the Lifetime Performance Index Based on the Bayesian Estimation for the Rayleigh Lifetime Products with the Upper Record Values |
| title_full | Evaluating the Lifetime Performance Index Based on the Bayesian Estimation for the Rayleigh Lifetime Products with the Upper Record Values |
| title_fullStr | Evaluating the Lifetime Performance Index Based on the Bayesian Estimation for the Rayleigh Lifetime Products with the Upper Record Values |
| title_full_unstemmed | Evaluating the Lifetime Performance Index Based on the Bayesian Estimation for the Rayleigh Lifetime Products with the Upper Record Values |
| title_short | Evaluating the Lifetime Performance Index Based on the Bayesian Estimation for the Rayleigh Lifetime Products with the Upper Record Values |
| title_sort | evaluating the lifetime performance index based on the bayesian estimation for the rayleigh lifetime products with the upper record values |
| url | http://dx.doi.org/10.1155/2013/547209 |
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