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中文論文名稱 在逐步型一區間設限檢定及概度比下之允收抽樣計畫
英文論文名稱 Acceptance Sampling Plans under Progressively Type-I Interval Censored Test with Likelihood Ratio
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 95
學期 2
出版年 96
研究生中文姓名 林沁瑋
研究生英文姓名 Chin-Wei Lin
學號 694460089
學位類別 碩士
語文別 英文
口試日期 2007-06-05
論文頁數 41頁
口試委員 指導教授-蔡宗儒
委員-吳碩傑
委員-侯家鼎
中文關鍵字 消費者風險  壽命檢驗計畫  概度比  生產者風險  逐步型一區間設限檢定 
英文關鍵字 Consumer risk  Life test plan  Likelihood ratio  Producer risk  Progressively Type-I interval censored test 
學科別分類 學科別自然科學統計
中文摘要 在統計品質管制中,利用抽檢部分產品以決定整批產品是否被接受或是拒絕的程序,我們稱之為允收抽樣計畫。當被檢驗的產品品質特徵為產品的壽命時,則所設計的允收抽樣計畫被稱為壽命檢驗計畫。本論文討論如何在逐步型一區間設限並採固定移除的壽命檢驗計畫之下,建立壽命檢驗計畫。整個壽命檢驗計畫的設計以概度比為基礎,在已給定的消費者和生產者風險下來檢定是否接受或拒絕該批產品,並找出抽檢樣本數及允收臨界值。由於本論文所提出的方法只以概度比來發展所有的程序,所以本論文所建議的方法可適用於任何的壽命分配。文中也將所得到的數值結果編製成表格來說明壽命檢驗計畫的使用。此外,文中也針對不同的移除計畫進行敏感度分析,以評估移除計畫對本文所提出的壽命檢驗計畫的影響。
英文摘要 The thesis investigates the design of life test plans for the progressively Type-I interval censored test with constant removals. Based upon the likelihood ratio, the proposed life test plans are established under specified producer and consumer risks. The advantage of the proposed method is that the developed procedure depends upon the likelihood ratio only so that the proposed method can be applied to any lifetime distribution. A numerical study is conducted to illustrate the proposed life test plans and some of them are tabulated. Moreover, a sensitivity analysis is conducted to discuss the influence of the removal scheme on the proposed sampling plans.
論文目次 Contents
1 Introduction 1
2 The Proposed Sampling Plans 6
3 Numerical Study and Sensitivity Analysis 14
4 Conclusions 31
A The Proof of ¹¹y(~µ) and ¾2¹y(~µ) 33
Bibliography 39

List of Figures
2.1 The Progressively Type-I interval censored test. . . . . . . . . . . . . 7

List of Tables
3.1 Life Test Plans with Scheme I for º=1 and ¯=0.1. . . . . . . . . . . . 19
3.2 Life Test Plans with Scheme II for º=1 and ¯=0.1. . . . . . . . . . . 20
3.3 Life Test Plans with Scheme III for º=1 and ¯=0.1. . . . . . . . . . . 21
3.4 Life Test Plans with Scheme I for º=1 and ¯=0.05. . . . . . . . . . . 22
3.5 Life Test Plans with Scheme II for º=1 and ¯=0.05. . . . . . . . . . . 23
3.6 Life Test Plans with Scheme III for º=1 and ¯=0.05. . . . . . . . . . 24
3.7 Life Test Plans with Scheme I for º=1.2 and ¯=0.1. . . . . . . . . . . 25
3.8 Life Test Plans with Scheme II for º=1.2 and ¯=0.1. . . . . . . . . . 26
3.9 Life Test Plans with Scheme III for º=1.2 and ¯=0.1. . . . . . . . . . 27
3.10 Life Test Plans with Scheme I for º=1.2 and ¯=0.05. . . . . . . . . . 28
3.11 Life Test Plans with Scheme II for º=1.2 and ¯=0.05. . . . . . . . . . 29
3.12 Life Test Plans with Scheme III for º=1.2 and ¯=0.05. . . . . . . . . 30
參考文獻 Balakrishnan, N. and Aggarwala, R. (2000). Progressive Censoring - Theory, Methods, and Applications. Boston: BirkhÄauser.

Chen, Z. and Mi, J. (1996). Con¯dence interval for the mean of the exponential distribution based on grouped data, IEEE Transactions on Reliability, 45, 671-677.

Cheng, K. F. and Chen, C. H. (1988). Estimation of the Weibull parameters with grouped data, Communications in Statistics-Theory and Methods, 17, 325-341.

Cohen, A.C. (1963). Pregressive censored samples in life testing. Technometrics, 5, 327-329.

Cohen, A.C. (1976). Progressively censored sampling in the three parameter lognormal distribution. Technometrics, 18, 99-103.

Epstein, N. and Sobel, M. (1953). Life Testing. Journal of the American Statistical Association, 48, 486-502.

Jeong. H. S. and Yum, N. J. (1995). Type-I Censored Life Test Plans in the Exponential Case. Communications in Statistics-Simulation and Computation, 24, 187-205.

Kim, S.H. and Yum, B.J. (2000). Comparisons of exponential life test plans with intermittent inspections. Journal of Quality Technology, 32, 217-230.

Mann, N.R. (1971). Best linear invariant estimation for Weibull parameters under progressive censoring. Technometrics, 13, 521-533.

Spurrier, J. D. and Wei, L. J. (1980). A test of the parameter of the exponential distribution in the Type-I censoring case. Journal of the American Statistical
Association, 75, 405-409.

Steiner, S. H. (1994). Quality Control and Improvement Based on Grouped Data, Ph.D Dissertation, McMaster University.

Tsai, T.-R. and Wu, S.-J. (2006). Acceptance sampling based on trancated life tests for generalized Rayleigh distribution. Journal of Applied Statistics, 33, 595-600.

Viveros, R. and Balakrishnan, N. (1994). Interval estimation of parameters of life from progressively censored data. Technometrics, 36, 84-91.

Wu, S.-J. (2003). Estimation for the two-parameter pareto distribution under progressive censoring with uniform removals. Journal of Statistical Computation and Simulation, 73(2), 125-134.

Wu, S.-J., Chen, Y.-J. and Chang, C.-T. (2007). Statistical inference based on progressively censored samples with random removals from the Burr Type XII distribution. Journal of Statistical Computation and Simulation, 77, 19-27.
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