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    政大機構典藏 > 商學院 > 統計學系 > 學位論文 >  Item 140.119/76858
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/76858


    Title: 建立管制區域來同時監控製程的位置與離散
    Design of a Control Region for Monitoring Joint Location and Dispersion
    Authors: 胡逢升
    Contributors: 楊素芬
    Yang, Su Fen
    胡逢升
    Keywords: 控制區域
    不受分配限制
    核密度估計方法
    同時監控製程
    Date: 2015
    Issue Date: 2015-07-27 11:21:28 (UTC+8)
    Abstract: 不論在製造流程或是在服務流程上,管制圖是一個能夠監督流程失控的非常有效工具。現今社會中,在製造流程與服務流程上,資料大多來自非常態分佈或是未知的分佈,以至於最為人所常用且建立在常態分配假設下的舒華特管制圖不適用於此。此文章中,我們提出了一個使用核密度估計方法(kernel density estimation approach)來建構出一個不受分配限制的中位數與四分位差控制區域,以同時監控製程的位置與離散程度。平均連串長度(ARL)是用以測量管制圖的失控偵測能力。在此文章中,比較了我們所提出來的控制區域與文獻上其他無母數管制圖的偵測製程失控能力。數值分析顯示我們所提出的中位數與四分位數的控制區域在同時監測位置與離散的能力較好。文章中亦提出運用此控制區域的例子,最後則為本文章的總結。
    Control charts are effective tools for monitoring quality of manufacturing processes and service processes. Nowadays, much of the data in service or manufacturing industries comes from processes having non-normal distributions or unknown distributions. The commonly used Shewhart mean and variable control charts, which depend heavily on the normality assumption, are not appropriately used here. In this article, we propose a distribution-free control region of the median and IQR using the kernel density estimation methods to simultaneously monitor the location and dispersion of an unknown underlying continuous distribution. Furthermore, the average run lengths (ARL) of the proposed control region is used to measure the out-of-control detection performance. The performance of the proposed control region and some other non-parametric charts for detecting out-of-control location and scale are compared. The proposed control region of the median and IQR shows as well or better detection performance compared to existing non-parametric control charts that can simultaneously monitor the location and scale. Numerical examples illustrate the application of the proposed control region. Summary and conclusions are offered.
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    Description: 碩士
    國立政治大學
    統計研究所
    102354007
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0102354007
    Data Type: thesis
    Appears in Collections:[統計學系] 學位論文

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