| Summary: | 碩士 === 國立嘉義大學 === 應用數學系研究所 === 100 === The service or manufacturing industry are generally employed the process capability indices (PCIs) to ensure whether product quality satisfy the required level. Most process capability indices assumed that the product quality characteristic comes from normal distribution. However, it is not a reasonable assumption. Actually, the lifetime of products may usually come from an Exponential distribution, Rayleighl distribution, Gamma distribution, weibull distribution, etc. Now, we studied the smaller-the-better process capability indices Cma when quality characteristic of interest has a skewed, zero-bound distribution with a long tail towards large values and there is an upper specification limit. In addition, tests of product lifetime experiments often due to time limitation as well as manpower, material resources and cost considerations had not collected the complete observations, makes it imperative to use a censored sample data. Therefore, this study was to investigate the quality characteristics from the two-parameter Weibull distribution is highly skewed under type right censored in the condition of know Upper Specification Limit. Hence, we propose the maximum likelihood estimator of Cmaw to develop a novel hypothesis testing procedure under given significance level . Therefore, it can also provide manufacturers facilitate the assessment of product quality to reach the required standard.
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