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研究生: 陳信豪
Chen, Hsin-Hao
論文名稱: 逐步應力加速型一區間設限下之允收抽樣計畫
Acceptance Sampling Plans under Step-stress Test and Type Ⅰ Interval Censoring Data
指導教授: 陳麗霞
Chen, Li-Shya
蔡宗儒
Tsai, Tzong-Ru
學位類別: 碩士
Master
系所名稱: 商學院 - 統計學系
Department of Statistics
論文出版年: 2006
畢業學年度: 94
語文別: 中文
論文頁數: 37
中文關鍵詞: 加速實驗型一設限區間設限允收抽樣Rayleigh分配
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  • 在壽命檢測試驗中,當我們因故或基於實驗上的方便無法連續觀察檢驗產品時,可以採用區間設限方式進行試驗,此外,對於許多長壽命的零件與產品,我們很難在試驗結束之前觀測到足夠的試驗單位死亡個數,此時可以採用加速壽命試驗的方式進行試驗,此種試驗方法可使受測的試驗單位提早故障,以有效地減少試驗所需的時間,並達到縮減成本的目的。本論文結合逐步應力加速試驗、型一設限以及區間設限,探討當產品壽命服從Rayleigh分配時,如何建立壽命檢驗計畫,在給定生產者風險與消費者風險下,求出壽命檢驗計畫所需的最小樣本數,以及判定貨批是否接受的壽命檢定臨界值,並將以上結果編製成表,以利實務界使用。


    In life test experiment we use interval censoring to complete it when we can not inspect the experiment units continuously due to some accidents or for convenience. Furthermore, it is difficult to obtain enough units of breakdown products for many long life components and products. At this moment we can adopt step-stress life test to proceed the experiment. Using this method we can make the test units breakdown early for reducing the time test needed effectively and save prime cost. In this thesis, acceptance sampling plans are established for Rayleigh lifetime data under step-stress and type I interval censoring scheme. The minimum sample sizes and the corresponding critical values of lifetime needed for test plans are found. Some tables are provided for the use of the proposed test plans.

    第一章 緒論 1
    1.1 研究動機與目的 ............................ 1
    1.2 論文架構 ................................. 3

    第二章 文獻回顧 4

    第三章 逐步應力加速區間型一設限試驗 7
    3.1 試驗方法 ................................. 7
    3.2 Rayleigh分配 ............................ 10
    3.3 逐步應力加速區間型一設限試驗模型 ............ 11

    第四章 逐步應力加速區間型一設限下之允收抽樣計畫 15
    4.1 最大概似估計 ............................. 15
    4.2 允收抽樣計畫 ............................. 17

    第五章 模擬與例題 21
    5.1 電腦模擬結果 .............................. 21
    5.2 實例探討 ................................. 23

    第六章 結論 32

    參考文獻 34

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    Aggarwala, R. (2001). Progressive Interval Censoring: Some Mathem- atical Results with Applications Inference, Communications in Statistics-Theory Methods, 30, 1921-1935.
    Epstein, B. (1954). Truncated Life Tests in the Exponential Case, Annals of Mathematical Statistics, 25, pp. 555-564.
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    飛利浦RF小信號分立元器件產品設計手冊, http://www.semiconductors.philips.com/acrobat/other/discretes/philips_rf_manual_4th_edition_appendix_chinese.pdf
    A_open AX4PE Tube-g真空管極品主板試用手記, http://www.beareyes.com.cn/2/lib/200304/30/20030430216.htm
    認識真空管, http://www.shanling.com/tube_01.html

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