標題: 容許區間建構的 c 管制圖
Improved c Control Charts based on Tolerance Intervals
作者: 羅玉芬
王秀瑛
Wang, Hsiuying
統計學研究所
關鍵字: c管制圖;容許區間;卜瓦松分佈;c chart;tolerance interval;poisson distribution
公開日期: 2010
摘要: 傳統的 c 管制圖通常是根據卜瓦松分佈的信賴區間來建構的管制圖。當監控分佈的參數已知時,現有的 c 管制圖有令人滿意的監控結果,然而,當此參數未知時,現有的 c 管制圖則會遭遇到型一誤差過大的缺點。我們在這研究論文中,提出利用卜瓦松分佈的容許區間來建構 c 管制圖。藉由統計模擬和實際資料的分析顯示,新的 c 管制圖在許多情況都優於現有的 c 管制圖。
In the previous studies, c charts are usually constructed by confidence intervals for the mean of a poisson distribution. When the mean is known, the existing c charts may lead to a satisfactory result, However, when the mean is unknown, the existing c charts suffer the drawback of large type I error. In this study, c charts based on tolerance intervals for the poisson distribution are proposed. A numerical study shows the proposed c charts outperform the existing ones.
URI: http://140.113.39.130/cdrfb3/record/nctu/#GT079826516
http://hdl.handle.net/11536/47681
Appears in Collections:Thesis


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