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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/114440


    Title: 混合分配下區間設限樣本的可靠度推論研究
    Other Titles: Reliability inference based on the interval-censored samples of mixture distributions
    Authors: 楊瑾棋;Yang, Chin-Chi
    Contributors: 淡江大學統計學系碩士班
    蔡宗儒;Tsai, Tzong-Ru
    Keywords: Bayesian estimation;censored sample;Markov chain Monte Carlo algorithm;Maximum likelihood estimation;Mixed distribution;貝氏估計;馬可夫鏈蒙地卡羅演算法;混合分配;設限樣本;最大概似估計
    Date: 2017
    Issue Date: 2018-08-03 14:52:40 (UTC+8)
    Abstract: 當製造商的元件來自兩個供應商,且個別供應商的元件品質可能不一致時,在混合的比例已知的條件下,本論文採用元件壽命服從韋伯分配的假設,研究在逐步型一區間設限樣本之混合韋伯分配下的參數估計問題,使用 Metropolis-Hasting 馬可夫鏈蒙地卡羅演算法得到模型的參數估計的結果,並以蒙地卡羅模擬評估估計方法的成效。通過模擬結果得到在大樣本下,本論文提出的估計結果相對穩定。
    When two suppliers supply components to a manufacturing company and the components from different suppliers could have different levels of quality, the mixed Weibull distributions is considered as the lifetime model of components. Moreover, an analytical Metropolis-Hasting Markov chain Monte Carlo procedure is proposed to estimate the model parameters. A simulation study is carried out to evaluate the performance of the proposed estimation method. Simulation results show that the proposed estimation method perform well with large samples.
    Appears in Collections:[Graduate Institute & Department of Statistics] Thesis

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