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| Title: | 偏斜常態分配下損失管制圖之設計
Loss Control Charts Under Skew Normal Population |
| Authors: | 盧尚文 |
| Contributors: | 楊素芬
盧尚文 |
| Keywords: | 中位數損失函數
平均損失函數
偏斜常態分配
指數加權移動平均管制圖
調適性管制圖
管制圖 |
| Date: | 2013 |
| Issue Date: | 2014-07-21 15:37:16 (UTC+8) |
| Abstract: | 本研究假設品質特性質服從偏斜常態分配下建立損失管制圖。當品質特性質的分配非對稱，本研究提出一中位數損失管制圖，可同時追蹤製程平均值與目標值之距離以及製程之變異。我們亦對此中位數損失管制圖之管制界線進行調整使其ARL1為unbiased。本研究亦在偏斜常態分配之假設下提出一平均損失管制圖，並與中位數損失管制圖比較其管制績效。為了提升管制圖之績效，本研究分別採用EWMA以及VSI之管制技術去提升中位數損失以及平均損失管制圖之績效。最後本研究提出之損失管制圖方法與已經存在之方法做比較，衡量當製程失控時之管制績效優劣。
In this study we construct loss-based control charts under skew-normal population. When the underlying distribution is skewed, we proposed a median loss control chart to simultaneously monitor the change of difference to process mean and target and the change of variance. An unbiased-ARL1 adjustment to the median loss chart is discussed. We also construct an average loss control chart under skew-normal population, and compare with the median loss control chart. Moreover, the EWMA or VSI charts are considered to improve the detection ability of the median loss or the average loss control charts. Out-of-control detection ability comparison among the median loss, average loss and some existed control charts for skewed population is discussed. |
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| Description: | 碩士
國立政治大學
統計研究所
101354018
102 |
| Source URI: | http://thesis.lib.nccu.edu.tw/record/#G1013540182 |
| Data Type: | thesis |
| Appears in Collections: | [統計學系] 學位論文
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| 018201.pdf | 2513Kb | Adobe PDF2 | 143 | View/Open |
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