Computational Testing Algorithmic Procedure of Assessment for Lifetime Performance Index of Products with Two-parameter Exponential Distribution Based on the Multiply Type II Censored Sample.

• Main Authors: Chien-Ju Chiu, 邱謙茹
• Other Authors: Shu-Fei Wu
• Format: Others
• Language: zh-TW
• Published: 2009
• Online Access: http://ndltd.ncl.edu.tw/handle/52349081905222223944

碩士 === 淡江大學 === 統計學系碩士班 === 97 === In recent years, it''s an important issue for manufacturers to assess, monitor and improve product quality and performance. Process capability indices (PCIs) are used to evaluate whether product quality meets the required level in many industries. Since the lifetime of products may not be normal distribution and it may follow an exponential, gamma or Weibull distribution, etc. On the other hand, the experimenters may not be able to obtain the lifetime of all products which are put on test due to the limitation of cost, time or artificial difficulties in data collection. Therefore, we assess the lifetime performance index of products for a two-parameter exponential distribution base on the multiply type II censored samples. We use 14 estimators including 12 weighted moments estimators (WMEs), approximate maximum likelihood estimator (AMLE) and best linear unbiased estimator (BLUE) to estimate the scale parameter and then we can obtain 14 estimators of the process capability index . The bias and mean square error(MSE) of 14 estimators are simulated and the optimal estimator is identified in the sense of minimum MSE. We also propose a hypothesis testing algorithmic procedure for practitioners to determine whether the lifetime of products meet the required level. Finally, two real-life examples are given to demonstrate the testing algorithmic procedure. 表單編號：ATRX-Q03-001-FM031-01