- 學位論文
Rayleigh分配產品的壽命績效指標在逐步型I區間設限下之檢定程序的檢定力分析
The power analysis of the testing procedure for the lifetime performance index of products with Rayleigh distribution under progressive type I interval censoring
摘要
近幾年來，隨著科技的進步，消費者對產品的品質要求也更加嚴格，因此提升產品製程的能力在品管上是很重要的工作。在實務上，已經發展出很多方法來評估產品的品質能力，此篇論文是利用製程能力指標的方法(process capability indices, PCIs)來對產品進行評估。 本研究假設產品的壽命服從Rayleigh分配時，在逐步型I區間設限下，計算壽命績效指標之最大概似估計量並求得其漸近分配。在規格下限L已知的情形下，使用此估計量及兩種拔靴法發展出三個假設檢定程序藉此評估壽命績效指標是否達到預定的要求水準。最後，我們用實例和模擬例子去說明如何使用本研究所提出的檢定程序。
並列摘要
In recent years, along with the improvement of technology consumers are in the pursuit of more stringent product quality. In practice, many researchers have developed a variety of methods to assess the quality of the product and this paper use the process capability indices (PCIs) to evaluate the products. This research is focusing on the lifetime of products following the Rayleigh distribution. 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 and two kinds of bootstrap methods to develop three kinds of hypothesis testing algorithmic procedure in the condition of known lower specification limit L. In the end, one practical example and one simulation example are given to illustrate the use of this testing algorithmic procedure to determine whether the process is capable.