Cubic normal distribution and its significance in structural reliability
Cubic normal distribution and its significance in structural reliability
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DOI：
10.12989/sem.2008.28.3.263
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发表时间：
2008-02
影响因子：
2.2
通讯作者：
Yan-Gang Zhao;Zhao-Hui Lu
中科院分区：
文献类型：
--
作者：
Yan-Gang Zhao;Zhao-Hui Lu
基本随机变量的分布信息对于结构可靠度的精确分析是必不可少的。确定分布的常用方法是将候选分布拟合到变量的可用统计数据的直方图，并执行近似拟合优度检验。通常，这样的候选分布将具有可以从统计数据的统计矩评估的参数。本文研究了一种三次正态分布，它的参数是由可用样本数据的前四阶矩确定的。给出了一个基于前四阶矩的参数表，简化了参数估计。讨论了该分布在统计数据分析中的简单性、通用性、灵活性和优越性及其在结构可靠性评估中的意义。通过数值例子证明了这些优点。
Information on the distribution of the basic random variable is essential for the accurate analysis of structural reliability. The usual method for determining the distributions is to fit a candidate distribution to the histogram of available statistical data of the variable and perform approximate goodness-of-fit tests. Generally, such candidate distribution would have parameters that may be evaluated from the statistical moments of the statistical data. In the present paper, a cubic normal distribution, whose parameters are determined using the first four moments of available sample data, is investigated. A parameter table based on the first four moments, which simplifies parameter estimation, is given. The simplicity, generality, flexibility and advantages of this distribution in statistical data analysis and its significance in structural reliability evaluation are discussed. Numerical examples are presented to demonstrate these advantages.