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    Title: 在設限的Gompertz壽命資料下之EWMA管制圖設計
    Other Titles: The design of EWMA control charts for censored data under Gompertz lifetime distribution
    Authors: 林貞君;Lin, Chen-chun
    Contributors: 淡江大學統計學系碩士班
    蔡宗儒;Tsai, Tzong-ru
    Keywords: 設限率;EWMA CEV 管制圖;最大概似估計量;斯華特管制圖;型I右設限資料;Censoring rate;EWMA CEV control charts;Maximum likelihood estimation;Shewhart control charts;Type I right censored data
    Date: 2007
    Issue Date: 2010-01-11 04:37:10 (UTC+8)
    Abstract: 基於操作上的便利,斯華特管制圖成為品質管制中最常被使用的管制圖之一。由於科技的進步,產品的壽命愈來愈長,所以廠商在檢驗產品壽命是否符合規格時,基於成本考量,常常會收集到設限的資料(不完整資料),而無法得知所有受測產品真正的壽命。在此情況下,如果仍採用傳統的斯華特管制圖來監控製程是不恰當的。Steiner & Mackay(2000)提出了CEV X-bar管制圖,來代替原本的X-bar管制圖,CEV X-bar管制圖在型I右設限資料下的偵測效果比傳統的X-bar管制圖來的好,而且更具有其理論價值。根據這些原因,本文討論當產品壽命時間服從Gompertz分配且為型I右設限資料時,利用Zhang & Chen(2004)所提出的上界EWMA CEV管制圖和下界EWMA CEV管制圖之概念及張毓芳(2005)所提出的一個新統計量來建立單一管制圖以偵測受限的Gompertz壽命資料下之製程平均壽命遞增或遞減的情況,文中並利用模擬方式討論在各種參數條件下,EWMA CEV管制圖的績效。
    Shewhart control charts are popular in practical SPC applications due to the simplicity of operation.Over the past years,long lifetime products are designed and manufactured based on the rapid development of high technology.Consider the limitations of cost and the test time,the manufactures often collect censored data to detect if the mean lifetime of products reaches the required specification.Hence,Shewhart control charts are inadequate to be used in such situations due to the normality assumption is violated.Steiner & Mackay(2000) established a CEV X-bar control chart to monitor the mean lifetime of products with censored data.They conclude that the CEV X-bar control chart performs better than Shewhart X-bar control chart bases on the Type I right censored data.In this thesis,I develop an EWMA CEV control chart based on a new statistic proposed by Zhang (2005) and the one side EWMA CEV control chart established by Zhang & Chen(2004).The proposed control chart can detect the mean lifetime of products increase or decrease,simultaneously.A numerical study is conducted to evaluate the performance of the proposed method.
    Appears in Collections:[統計學系暨研究所] 學位論文

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