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概率密度函数构造权重的可靠性灵敏度分析 被引量:1

Reliable Sensitivity Analysis on Structure Weight of Probability Density Function
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摘要 目的分析概率密度函数构造权重的可靠性灵敏度。方法在实际的可靠性问题分析当中,灵敏度的准确分析对参数的分布有着非常重要的影响;提出概率密度函数构造权重的可靠性灵敏度分析法,是一种通过在变量空间下,以确定性低偏差均匀抽样,然后与相应的样本点处联合,进而实现概率密度函数构造权重的分析方法;与密度权重分析方法做对比,密度函数权重法可以有效提高对可靠性灵敏度的评估准确率,具有较快的收敛速度。结果概率密度函数构造权重具有极强的可靠性灵敏度,在实际应用中其使用优势主要表现在计算步骤简单、分析结果准确性高、各个变量之间的误差较小、计算效率变得更高、计算结果的精度高等方面,并且收敛性和稳健性都比较好。基于密度函数权重可靠性灵敏度分析方法,避免了原有的分析方法存在的不足,通过自身的优越性,有效提升了分析的准确性和计算效率。结论概率密度函数构造权重的可靠性灵敏度分析方法在实际应用中具有较强的适用性。 Objective To analyze the reliable sensitivity on the structure weight of probability density function.Methods Among the analysis of the actual problems,the accurate sensitivity analysis has important impact on the distribution of the parameters.After a long period of deep research,a method with good reliable sensitivity analysis of the weighted probability density function is put forward.The method is helpful to realize the probability structure weight of density function on the uniform sampling with deterministic low deviation and the corresponding sample points under variable space.It can improve the accuracy of reliable sensitivity evaluation effectively and have a much faster convergence speed than that of the existed methods.Results The structure weight of probability density function has strong reliable sensitivity.Its advantages in the practical application mainly lie in simple calculation procedure,high accuracy analysis results,less error among different variability,making higher computational efficiency and higher calculation accuracy.And it has more convergence and robustness.It avoids the deficiency existing in the original analysis method and improves the analysis accuracy and computational efficiency through its superiority.Conclusion The reliable sensitivity analysis on the structure weight of probability density function has strong applicability in reality.
出处 《河北北方学院学报(自然科学版)》 2017年第1期5-7,11,共4页 Journal of Hebei North University:Natural Science Edition
基金 国家自然科学基金项目(61203293) 河南省重点科技攻关计划项目(122102210131)
关键词 概率密度函数 权重 可靠性灵敏度 probability density function weight reliable sensitivity
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