Loss Control Charts Under Skew Normal Population

• Main Author: 盧尚文
• Other Authors: 楊素芬
• Format: Others
• Language: en_US
• Online Access: http://ndltd.ncl.edu.tw/handle/24801746339591845107

碩士 === 國立政治大學 === 統計研究所 === 102 === In this study we construct loss-based control charts under skew-normal population. When the underlying distribution is skewed, we proposed a median loss control chart to simultaneously monitor the change of difference to process mean and target and the change of variance. An unbiased-ARL1 adjustment to the median loss chart is discussed. We also construct an average loss control chart under skew-normal population, and compare with the median loss control chart. Moreover, the EWMA or VSI charts are considered to improve the detection ability of the median loss or the average loss control charts. Out-of-control detection ability comparison among the median loss, average loss and some existed control charts for skewed population is discussed.