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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/6314

    Title: 隨機移除之逐步型二設限樣本對雙參數柏拉圖分配參數之區間估計及未來觀測值之預測區間
    Other Titles: The Interval Estimation of Parameters of Pareto Distribution and the Prediction Interval of the Future Observation for Progressively Type II Censored Sample
    Authors: 吳淑妃
    Contributors: 淡江大學統計學系
    Keywords: 逐步型二設限樣本;一般化逐步型二設限樣本;型I柏拉圖分配;信賴區間;信賴區域;Monte Carlo模擬法;Progressively Type-II censored sample;General Progressively Type-II censored sample;Type I Pareto Distribution;Confidence Interval;Confidence Region;Monte Carlo Simulation
    Date: 2005
    Issue Date: 2009-03-16 13:55:34 (UTC+8)
    Abstract: 有時因時間、成本的限制或資料蒐集時人為的疏失,而需面對不完整設限資料。若壽命分配之失敗率λ為具有尺度參數θ與形狀參數ν之Gamma分配,則此產品之壽命有柏拉圖分配, 其在壽命檢測與可靠度問題上佔據一個很重要的地位。所以本研究針對隨機移除之逐步型二設限樣本及隨機移除之一般化逐步型二設限樣本, 對具有尺度參數θ與形狀參數ν之雙參數型I柏拉圖分配之參數進行區間估計及信賴區域之研究. 同時提出未來觀測值和未來相鄰故障時間比值的預測區間。另外, 我們給一個數值例子來示範這些估計與預測結果,並用Monte Carlo模擬法,來評估這些估計與預測結果之表現. 查無英文摘要 distribution by progressively type Ⅱ censored sample or general progressively type Ⅱ censored sample with uniform removal or Binomial removal is investigated by individual confidence intervals or confidence regions. The distribution of the proposed pivotal quantities will be derived in this research. The future observation and the ratio of any two adjacent future lifetimes are predicted as well. One numerical example is given to demonstrate all results and the Monte Carlo simulation is used to assess the performance of all results based on the length of confidence interval or the area of confidence region under the confidence coefficient.
    Appears in Collections:[Graduate Institute & Department of Statistics] Research Paper

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