A Study of Control Charts for Skew Normal Data
碩士 === 國立高雄大學 === 統計學研究所 === 102 === Control chart is one of the most powerful techniques for monitoring industrial process control. Traditionally, the control charts are designed under normal assumption. However, this assumption may not hold in some processes. In this paper, based on an exact distr...
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| Format: | Others |
| Language: | en_US |
| Published: |
2014
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| Online Access: | http://ndltd.ncl.edu.tw/handle/91338391793824880758 |
| Summary: | 碩士 === 國立高雄大學 === 統計學研究所 === 102 === Control chart is one of the most powerful techniques for monitoring industrial process control. Traditionally, the control charts are designed under normal assumption. However, this assumption may not hold in some processes. In this paper, based on an exact distribution of sample mean for skew normal distribution, we will develop an exact skew normal acceptance control chart. Furthermore, the performance of the proposed exact skew normal acceptance control chart are compared with those of some existing acceptance control charts when the underlying distribution is skew normal and gamma. Simulation results show that our exact skew normal acceptance control charts have better performance.
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