類別製造過程的多變量指數加權移動平均監控計劃

Multivariate Exponentially Weighted Moving Average Monitoring Scheme for a Categorical Manufacturing Process

洪鏡婷(Hong Jing-Ting)

指導教授 ： 陳志榮

國立交通大學/理學院/統計學研究所/碩士(2010年)

https://doi.org/10.6842/NCTU.2010.00266

摘要

本文是發展一個方法去監控不同類別的資料。首先介紹
Dirichlet-多項式模型，根據該模型提出了類別製造過程的多變量
指數加權移動平均管制圖並研究其相關的特性。最後用模擬的資
料來說明這個方法的實用性與適用性。

關鍵字

Dirichlet-多項式模型 ； 多變量指數加權移動平均

並列摘要

This paper is to develop a method to monitor the fractions of the tested
items falling into different categories of pass/fail modes. The
Dirichlet-compound multinomial model is first introduced and then a
multivariate exponentially weighted moving average control chart is proposed
for a categorical manufacturing process under the proposed model. Some
relevant properties of the proposed control chart are also investigated. Finally, a
simulation study is presented to show the usefulness and applicability of the
proposed methodology.

並列關鍵字

Dirichlet-compound multinomial ； MEWMA

參考文獻

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[4] Lowry, C. A., Woodall, W. H., Champ, C. W., and Rigdon, S. E. A multivariate

exponential weighted moving average control chart, Technometrics, 34, 46{53 (1992).