基于Jeffreys先驗的PSA通用數(shù)據(jù)貝葉斯處理方法
發(fā)布時間:2018-08-27 11:39
【摘要】:利用Jeffreys先驗理論推導出gamma分布和beta分布的Jeffreys先驗,在此基礎上通過貝葉斯方法得到通用數(shù)據(jù)分布超參數(shù)計算表達式,最后以文獻數(shù)據(jù)為例對失效率分布的超參數(shù)進行計算。與經典統(tǒng)計學方法所得結果相比,基于Jeffreys先驗的數(shù)據(jù)處理方法簡單易行,可最大限度地保留樣本信息,給出的概率分布不確定性較小。
[Abstract]:The Jeffreys priori of gamma distribution and beta distribution is derived by using the Jeffreys priori theory. On this basis, the superparametric expression of general data distribution is obtained by Bayesian method. Finally, the superparameters of the failure rate distribution are calculated by taking the literature data as an example. Compared with the results obtained by the classical statistical method, the data processing method based on Jeffreys priori is simple and feasible, and the sample information can be retained to the maximum extent, and the uncertainty of the probability distribution given is smaller.
【作者單位】: 西北核技術研究所強脈沖輻射模擬與效應國家重點實驗室;
【分類號】:TM623
[Abstract]:The Jeffreys priori of gamma distribution and beta distribution is derived by using the Jeffreys priori theory. On this basis, the superparametric expression of general data distribution is obtained by Bayesian method. Finally, the superparameters of the failure rate distribution are calculated by taking the literature data as an example. Compared with the results obtained by the classical statistical method, the data processing method based on Jeffreys priori is simple and feasible, and the sample information can be retained to the maximum extent, and the uncertainty of the probability distribution given is smaller.
【作者單位】: 西北核技術研究所強脈沖輻射模擬與效應國家重點實驗室;
【分類號】:TM623
【參考文獻】
相關期刊論文 前3條
1 茆定遠,薛大知;核電站PSA分析中可靠性數(shù)據(jù)處理的貝葉斯方法[J];核動力工程;2000年05期
2 何R,
本文編號:2207159
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