臺灣博碩士論文加值系統

　　製程能力指標PCI ( process capability index )係為呼應一些缺乏統計訓練背景的經理人有關於「將製程能力資訊融合在單一數據」之需求而產生。其為一無單位指標，主要可看出一個製程是否具有製造符合製程規格產品的能力，目前於文獻中可考者眾。Pearn及Chen ( 1997 ) 提出一製程能力指標族CNp(u,v)，完全不受限有關於常態製程假設。根據定義，其為三個分位點 ( .00135th quantile, .5th quantile, .99865th quantile ) 之函數，而該三個分位點在實務中一般是未知的。本論文之研究內容首先透過此三個分位點的兩種估計式提供CNp(u,v)的估計式，接著對CNp(u,v)的估計式，做小樣本及大樣本之下的比較研究。

A process capability index is a numerical measure which provides information on whether a production process is capable of producing items within the specification limits predetermined by the designer. Pearn and Chen (1997) proposed a class of capability indices CNp(u,v) to accommodate cases where the underlying distributions may not be normal. The current indices CNp(u,v) are functions of quantiles which may not be known. In this article, we apply two quantiles estimators to estimate the class of indices CNp(u,v), and compares these two estimators of indices CNp(u,v) in many different sample sizes.

第一節　緒論……………………………………………1
第二節　符號……………………………………………7
第三節　電腦模擬
3.1　參數設定…………………………………………9
3.2　抽樣法……………………………………………11
第四節　模擬結果分析
4.1　自助抽樣法………………………………………13
4.2　重複取樣法………………………………………31
4.3　綜合比較…………………………………………35
第五節　結論……………………………………………38
參考文獻…………………………………………………39
附錄一……………………………………………………I
附錄二……………………………………………………XIII

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