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

• Main Authors: Tzu-Chin Chen, 陳姿瑾
• Other Authors: 吳淑妃
• Format: Others
• Language: zh-TW
• Published: 2014
• Online Access: http://ndltd.ncl.edu.tw/handle/s3emd8

碩士 === 淡江大學 === 統計學系碩士班 === 102 === In recent years, consumers are in the pursuit of more stringent product quality requirements for many high-tech products such as tablet, smart 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. This research is focusing on the lifetime of products following the Burr XII distribution. The maximum likelihood estimator is used to estimate the lifetime performance index (CL) based on the progressive type I interval censored sample. The asymptotic distribution of this estimator is also investigated. We use this estimator and two kinds of bootstrap to develop three kinds of new hypothesis testing algorithmic procedure in the condition of known lower specification limit L. Finally, two practical examples are given to illustrate the use of this testing algorithmic procedure to determine whether the process is capable.