An Alternative tolerance Limit for A One-way Random Effects model

• Main Authors: Chih-Yuan Wang, 王志遠
• Other Authors: Shun-Yi Chen
• Format: Others
• Language: zh-TW
• Published: 2007
• Online Access: http://ndltd.ncl.edu.tw/handle/12355036168831371587

碩士 === 淡江大學 === 數學學系碩士班 === 95 === In engineering applications, the problem of constructing tolerance limits in the one-way random effects model has been investigated by several authors. In this paper, an extensive simulation study is carried out to compare the performance of tolerance limits of Harris and Chen (2001), Chen and Harris (2006), Mee and Owen (1983), Vangel(1992), and Krishnamoorthy and Mathew (2004). In addition, we include three examples from Lemon (1977) and Vangel (1992) to compare the methods . The simulation results and numerical examples show that the tolerance limits based on Harris and Chen (2001)and Chen and Harris (2006) are less conservative than other methods and also provides more accurate coverage rates as well as smaller standard deviations.