基于Jeffreys先驗(yàn)的PSA通用數(shù)據(jù)貝葉斯處理方法
發(fā)布時(shí)間:2018-08-27 11:39
【摘要】:利用Jeffreys先驗(yàn)理論推導(dǎo)出gamma分布和beta分布的Jeffreys先驗(yàn),在此基礎(chǔ)上通過(guò)貝葉斯方法得到通用數(shù)據(jù)分布超參數(shù)計(jì)算表達(dá)式,最后以文獻(xiàn)數(shù)據(jù)為例對(duì)失效率分布的超參數(shù)進(jìn)行計(jì)算。與經(jīng)典統(tǒng)計(jì)學(xué)方法所得結(jié)果相比,基于Jeffreys先驗(yàn)的數(shù)據(jù)處理方法簡(jiǎn)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(shù)研究所強(qiáng)脈沖輻射模擬與效應(yīng)國(guó)家重點(diǎn)實(shí)驗(yàn)室;
【分類號(hào)】: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(shù)研究所強(qiáng)脈沖輻射模擬與效應(yīng)國(guó)家重點(diǎn)實(shí)驗(yàn)室;
【分類號(hào)】:TM623
【參考文獻(xiàn)】
相關(guān)期刊論文 前3條
1 茆定遠(yuǎn),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(dòng)力工程;2000年05期
2 何R,
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