Economic design of two-stage control chart with skew-normal components
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 surr...
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| Format: | Others |
| Language: | en_US |
| Published: |
2019
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| Online Access: | http://ndltd.ncl.edu.tw/handle/mqxng2 |
| Summary: | 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.
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