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Researches on the Method of Bayesian Models Selections and Averages

机译:贝叶斯模型选择和均值方法的研究

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摘要

For improving the analyses results of Bayesian model selections and averages, by which the uncertainties and risks of analyses results of natural disasters can be reduced or removed, two important problems about Bayes Factors computation, i.e. determination of parameters' prior distribution and numerical integration of models, are mainly discussed and resolved firstly, then a new method of Bayes Factors computation has been proposed, finally the accuracy and effectiveness of this new method have been confirmed and compared with BIC by Monte-Carlo tests. Results show that the new method is more effective and reliable than BIC, since it can overcome the influence of many unfavorable factors by analyzing and describing the uncertainties of model's parameters.
机译:为了改善贝叶斯模型选择和平均的分析结果,从而减少或消除自然灾害分析结果的不确定性和风险,贝叶斯因子计算的两个重要问题,即确定参数的先验分布和模型的数值积分首先,主要讨论和解决,然后提出了一种贝叶斯因子计算的新方法,最后通过蒙特卡洛检验确定了该方法的准确性和有效性,并与BIC进行了比较。结果表明,新方法比BIC更加有效和可靠,因为它可以通过分析和描述模型参数的不确定性来克服许多不利因素的影响。

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