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。

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.

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

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