淡江大學覺生紀念圖書館 (TKU Library)
進階搜尋


下載電子全文限經由淡江IP使用) 
系統識別號 U0002-1306201220531800
中文論文名稱 在逐步型I區間設限下對單參數柏拉圖分配的壽命績效指標之檢定程序
英文論文名稱 A testing procedure for the lifetime performance index of products with one-parameter pareto distribution under progressive type I interval censoring
校院名稱 淡江大學
系所名稱(中) 統計學系碩士班
系所名稱(英) Department of Statistics
學年度 100
學期 2
出版年 101
研究生中文姓名 盧錦洋
研究生英文姓名 Jin-Yang Lu
電子信箱 ronald966@gmail.com
學號 699650155
學位類別 碩士
語文別 中文
口試日期 2012-06-01
論文頁數 40頁
口試委員 指導教授-吳淑妃
委員-吳錦全
委員-王智立
中文關鍵字 逐步型I區間設限  柏拉圖分配  最大概似估計量  製程能力指標  檢定程序 
英文關鍵字 progressive type I interval censored  one-parameter pareto distribution  maximum likelihood estimator  process capability index  a testing procedure 
學科別分類 學科別自然科學統計
中文摘要 近年來,由於科技的進步,許多高科技產品像是電腦,手機等等,使得消費者對於產品品質要求更加嚴格,在實務上,已經發展了很多種方法來評估產品的品質能力,製程能力指標(process capability indices, PCIs)就是其中一種方法。
製程能力指標已經被廣泛地用於評估製程的績效以及不斷地提升產品品質及製程能力。當產品的壽命服從單參數柏拉圖分配時,望大型的壽命績效指標應該是被考慮的。在逐步型I區間設限下,我們求出壽命績效指標之最大概似估計量並探討其漸近分配。在規格下限已知的情形下,我們使用此估計量發展出一個新的假設檢定程序以判定壽命績效是否達到預定的能力水準。最後,我們用兩個數值實例去說明如何使用本研究所提出的檢定程序。
英文摘要 In recent years, consumers are in the pursuit of more stringent product quality requirements for many high-tech products such as computers, mobile phones, etc. In practice, many researchers have developed a variety of methods to assess the quality of the product and the method of process capability indices (PCIs) is one of them.
Process capability indices had been widely used to evaluate the process performance to the continuous improvement of quality and productivity. When the lifetime of products possesses a one-parameter pareto distribution, the larger-the-better lifetime performance index is considered. The maximum likelihood estimator is used to estimate the lifetime performance index based on the progressive type I interval censored sample. The asymptotic distribution of this estimator is also investigated. We use this estimator to develop the new hypothesis testing algorithmic procedure in the condition of known lower specification limit. Finally, two practical examples are given to illustrate the use of this testing algorithmic procedure to determine whether the process is capable.
論文目次 目錄
第一章 緒論 1
1.1 研究動機與目的 1
1.2 文獻探討 5
1.3 本文架構 7
第二章 壽命績效指標與其估計 9
2.1 產品的壽命績效指標 10
2.2 壽命績效指標的估計量 13
第三章 壽命績效指標的檢定演算程序 17
3.1 壽命績效指標的檢定演算程序 17
3.2 壽命績效指標檢定程序的檢定力 19
第四章 數值實例示範 24
第五章 結論與未來研究 29
5.1 結論 29
5.2 未來研究方向 30
參考文獻 31
附錄 34

表目錄
附表 1 壽命績效指標 值對應之良品率 34
附表 2 當規格下限 總觀測時間 設限樣本數 觀測樣本數 及逐步移除率 時,在目標值 和顯著水準 下,檢定力函數 在 =0.7,0.75(0.025) 0.95的數值 35
附表 3 當規格下限 總觀測時間 設限樣本數 觀測樣本數 及逐步移除率 時,在目標值 和顯著水準 下,檢定力函數 在 的數值 37
附表 4 當規格下限 總觀測時間 設限樣本數 觀測樣本數 及逐步移除率 時,在目標值 和顯著水準 下,檢定力函數 在 的數值 39


圖目錄
圖 1.1 逐步型I區間設限圖 4
圖 3.1 當 、 及 之下,對不同總樣本 時的檢定力函數 21
圖 3.2 當 、 及 之下,對不同設限樣本 時的檢定力函數 22
圖 3.3 當 、 及 之下,對不同移除率 時的檢定力函數 22
圖 3.4 當 、 及 之下,對不同顯著水準 時的檢定力函數 23
圖 3.5 當 、 及 之下,對不同顯著水準 (0.01, 0.05, 0.1)時的檢定力函數 23

參考文獻 參考文獻
[1] Aggarwala, R. (2001), Progressive interval censoring: some mathematical results with applications to inference, Communications in Statistics - Theory and Methods 30 ,1921–1935.

[2] Balakrishnan, N.; Aggarwala, R. (2000) Progressive Censoring: Theory,Methods and Applications; Birkhauser Publishers: Boston.

[3] Boyles, R.A. (1991). The Taguchi capability index, Journal of Quality Technology, 23, 17-26.

[4] Chan, L.K., Cheng, S.W. and Spiring, F. A. (1988). A new measure of process capability, Journal of Quality Technology, 20(3), 162-175.

[5] Clement, J.A. (1989). Process capability calculations for non-normal distribution, Quality Progress, 22, 95-100.

[6] Cohen, A. C. (1963), Progressively censored samples in the life testing, Technometrics, 5, 327-339.

[7] Gill, M.H. and Gastwirth J.L. (1978), A Sacle-Free Goodness-of-Fit Test for the Exponential Distribution Based on the Gini Statistic, Journal of the Royal Statistical Society, SeriesB(Methodological), 40, 350-357.

[8] Hong, C.W., Wu, J.W. and Cheng, C.H.. (2008), Computational procedure of performance assessment of lifetime index of Pareto lifetime businesses based on confidence interval, Applied Soft Computing , 8, 698–705.

[9] Juran, J.M. (1974). Journal quality control handbook,(3rd ed), McGraw-Hill ,New York.

[10] Kane, V. E. (1986), Process capability indices, Journal of Quality Technology, 18, 41-52.

[11] Lawless, J. F. (1971), A prediction problem concerning samples form the exponential distribution with application in life testing, Technometrics, 13, 725-730.

[12] Lawless, J. F. (2003), Statistical Models & Methods for Lifetime Data, (2nded), New York, John Wiley.

[13] Lindsey, J.C.; Ryan, L. M.(1998), Tutorial in biostatistics methods for interval-censored data.
Statistics in Medicine, 17, 219–238.

[14] London, D. (1988), Survival Models, Actex Publications: Connecticut.

[15] Montgomery, D.C. (1985). Introduction to statistical quality control, John Wiley & Sons, New York.

[16] Nigm, A. M., Al-Hussaini, E. K. and Jaheen, Z. F. (2003), Bayesian one-sample prediction of future observations under Pareto distribution, Statistics, Theoretical and Applied Statistics, 37, 527-536.

[17] Pearn, W.L., Kotz, S. and Johnson, N.L. (1992). Distributional and inferential properties of process capability indices, Journal of Quality Technology, 24(4), 216-233.

[18] Pearn, W.L. and Chen, K.S. (1997). Capability indices for non-normal distributions with an application in electrolytic capacitor manufacturing, Microelectronics and Reliability, 37(12), 1853-1858.

[19] Sun, J. (1997), Regression analysis of interval-censored failure time data, Statistics in Medicine, 16, 497–504.

[20] Tong, L.I., Chen, K.T. and Chen, H.T. (2002), Statistical testing for assessing the performance of lifetime index of electronic components with exponential distribution, International Journal of Quality & Reliability Management, 19(7), 812-824.

[21] Wu, S.J., Lin, Y.P., Chen, Y.J. (2006), Planning step-stress life test with progressively type-I group-censored exponential data, Statistica Neerlandica, 60 46–56.
論文使用權限
  • 同意紙本無償授權給館內讀者為學術之目的重製使用,於2017-06-25公開。
  • 同意授權瀏覽/列印電子全文服務,於2017-06-25起公開。


  • 若您有任何疑問,請與我們聯絡!
    圖書館: 請來電 (02)2621-5656 轉 2281 或 來信