Economic design of two-stage control chart with skew-normal components

• Main Authors: HSU, FU-HSIN, 許馥欣
• Other Authors: SU, NAN-CHENG
• Format: Others
• Language: en_US
• Published: 2019
• Online Access: http://ndltd.ncl.edu.tw/handle/mqxng2

碩士 === 國立臺北大學 === 統計學系 === 107 === In many cases of quality control, the cost is too high to monitor the performance variable, but it could be economical to monitor its surrogate. In this study, we consider a two-stage control chart by using both the performance variable and its high-correlated surrogate variable in an alternative fashion. The components of the performance varialbe and the surrogate variable are assumed to follow the Azzalini's skew-normal distribution with different skewness parameters. This in turn implies that the distribution of the performance variable and the surrogate variable is an extention to the Azzalini's skew-normal distribution. We will study the properties of the new class of the extented skew-normal distribution. Furthermore, we will investigate properties of the two-stage control chart under this extended model of the sample mean by the expected net income per unit time.