Bayesian Method of PSA Generic Data Processing Based on Jeffreys Prior
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摘要: 利用Jeffreys先验理论推导出gamma分布和beta分布的Jeffreys先验,在此基础上通过贝叶斯方法得到通用数据分布超参数计算表达式,最后以文献数据为例对失效率分布的超参数进行计算。与经典统计学方法所得结果相比,基于Jeffreys先验的数据处理方法简单易行,可最大限度地保留样本信息,给出的概率分布不确定性较小。
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关键词:
- 贝叶斯方法 /
- Jeffreys先验 /
- 概率安全评价 /
- 可靠性数据
Abstract: Jeffreys priors for gamma and beta distribution was derived after adopting Jeffreys prior theory.Furthermore, the expressions were given to estimate the hyper parameters of generic data distribution using B ayesian approach. Compared to the results using classical statistics theory, the data processing method based o n Jeffreys prior appeared much simpler and more concentrated, which reserved most sample information.-
Key words:
- Bayesian approach /
- Jeffreys prior /
- Probabilistic Safety Assessment /
- Reliability data
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