A Study of Acceptance Control Charts for Skew Normal Data

偏斜常態資料允收管制圖之研究

張耿睿(Keng-Jui Chang) ； 蘇志成(Jyh-Cherng Su)

《中國統計學報》 58卷4期 (2020/12) Pp. 272-293

摘要

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.

關鍵字

Acceptance control chart ； Skew normal distribution ； Skew normal sample mean

並列摘要

管制圖在製程管制上是非常有用的工具之一，傳統管制圖的設計是建立在製程分佈爲常態的假設下，推導其管制界限。但實務上，許多製程卻非常態分佈。在本論文中，我們將透過偏斜常態之樣本平均數的抽樣分佈來設計偏斜常態允收管制圖，並在母體爲偏斜常態或gamma分佈下，將其與現有的一些允收管制圖進行比較。模擬的結果顯示，我們所提出的精確偏斜常態允收管制圖會有較佳的表現。

並列關鍵字

允收管制圖 ； 偏斜常態分佈 ； 偏斜常態樣本平均數

參考文獻

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