CAJ | 학술논문

文章采用自适应核密度估计和正交多项式拟合方法近似估算样本的概率密度函数,建立了基于自适应核密度估计、正交多项式拟合和扩展可靠性的全局灵敏度求解方法.文中在给出所提方法的思路和实现步骤后,采用数值和工程算例对所建立的方法与现有的基于有限混合密度估计、最大熵密度估计的方法进行了比较,结果表明:基于最大熵和基于正交多项式拟合的方法具有较好的计算稳定性.
문장채용자괄응핵밀도고계화정교다항식의합방법근사고산양본적개솔밀도함수,건립료기우자괄응핵밀도고계、정교다항식의합화확전가고성적전국령민도구해방법.문중재급출소제방법적사로화실현보취후,채용수치화공정산례대소건립적방법여현유적기우유한혼합밀도고계、최대적밀도고계적방법진행료비교,결과표명:기우최대적화기우정교다항식의합적방법구유교호적계산은정성.
Section 1 of the full paper briefs the probability density function, which can be estimated by the existing methods in Refs. 4 and 5 and by the two new methods; in section 1, eq. (2), which is related to augmented reliability, is particularly important. Subsection 2.1 establishes the new adaptive kernel density approximation method; in subsection 2.1, eq. (8) can be used for estimating the probability density function. Subsection 2.2 establishes the new polynomial approximation method; in subsection 2.2, eq. (14) can be used for estimating the probability density function. Section 3 gives the simulation results of three examples and their analysis. The simulation results are presented in: Figs. 1 and 2 for example 1; Figs.3 and 4 for example 2. The analysis of the results shows mainly and preliminarily that the existing maximum entropy method and the new polynomial approximation method for analyzing global reliability sensitivity are more robust than the other two methods.