Estimation on the Lower Confidence Limit of the Breaking Strength Percentiles Under Progressive Type-II Censoring_

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題名：	Estimation on the Lower Confidence Limit of the Breaking Strength Percentiles Under Progressive Type-II Censoring
書刊名：	工業工程學刊
作者：	劉玉龍／蔡宗儒／江俊佑
作者(外文)：	Lio, Y. L.／Tsai, Tzong-ru／Chiang, Jyun-you
出版日期：	2012
卷期：	29:1
頁次：	頁16-29
主題關鍵詞：	偏差修正方法；拔靴抽樣；製造工程；逐步設限方法；Bias-correction method；Bootstrap sample；Manufacturing engineering；Progressive censoring scheme
原始連結：	連回原系統網址
相關次數：	被引用次數:期刊(0) 博士論文(0) 專書(0) 專書論文(0) 排除自我引用:0 共同引用:6 點閱:34

The breaking strength information of structure components is highly correlated with the safety manufacturing and much concerned by engineers. Components with deficient safety quality will be rejected to rework or discard due to an unsatisfactory level of the lower critical breaking strength percentile. When the breaking strength of components is assumed to have a Burr type-XII distribution, five parametric bootstrap methods are suggested to adjust the bias of the lower confidence limit estimate of the lower percentile with progressive type-II censored samples. The performance of the proposed bootstrap methods is evaluated through an intensive simulation study. Numerical results show that the hybrid bootstrap method and the bias-corrected and accelerated bias-corrected methods perform better with coverage probabilities near the nominal confidence level for almost all the cases considered. An example of the breaking strength data set of aluminum sheets is used for illustration.

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期刊論文
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12.	Tsai, T.-R.、Chiang, J.-Y.(2009)。Acceptance sampling procedures with intermittent inspections under progressive censoring。ICIC-Express Letters，3，189-194。
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圖書
1.	R Development Core Team(2006)。A Language and Environment for Statistical Computing。Vienna, Austria：R Foundation for Statistical Computing。
2.	Shao, J.、Tu, D.(1995)。The Jackknife and Bootstrap。New York：Springer-Verlag。
3.	Efron, B.(1982)。The Jackknife, the Bootstrap and other Resampling Plans。Philadelphia, PA。
4.	Balakrishnan, N.、Aggarwala, R.(2000)。Progressive Censoring: Theory, Methods and Applications。Boston, MA：Birkhäuser。
5.	Efron, Bradley、Tibshirani, Robert J.(1993)。An Introduction to the Bootstrap。Chapman & Hall/CRC。

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