A testing procedure for the lifetime performance index of products with Gompertz distribution under progressive type I interval censoring

• Main Authors: Ya-Ting Hsieh, 謝雅婷
• Other Authors: Shu-Fei Wu
• Format: Others
• Language: zh-TW
• Published: 2013
• Online Access: http://ndltd.ncl.edu.tw/handle/97475675039220972663

碩士 === 淡江大學 === 統計學系碩士班 === 101 === In recent years, consumers are in the pursuit of more stringent product quality requirements for many high-tech products such as tablet, mobile phones, etc. In practice, many researchers have developed a variety of methods to assess the quality of the product and the method of process capability indices (PCIs) is one of them. Process capability indices had been widely used to evaluate the process performance to the continuous improvement of quality and productivity. When the lifetime of products possesses a Gompertz distribution, the larger-the-better lifetime performance index is considered. The maximum likelihood estimator is used to estimate the lifetime performance index based on the progressive type I interval censored sample. The asymptotic distribution of this estimator is also investigated. We use this estimator to develop the new hypothesis testing algorithmic procedure in the condition of known lower specification limit. Finally, two practical examples are given to illustrate the use of this testing algorithmic procedure to determine whether the process is capable.