摘要
对岩土工程中随机变量的空间概率特征进行了统计分析,介绍了确定β分布各参数的迭代方法,提出了经验公式简化迭代过程,有效地处理了随机变量分布范围的估计问题,并阐明了β分布在可靠度领域中的适用性。作为对比,对同一样本采用了其他分布进行拟合。分析结果表明,β分布拟合精度高于其他分布。
This paper statistically analyses the spatial probabilistic characteristics of random variables in geotechnical problems. Both the iteration process to determine the parameters for a beta probability density function and the empirical formula to simplify this iteration are presented. Therefore, the estimation of the lxxmds of random variables is handled efficiently and the applicability of the beta distribution in reliability analysis is illustrated. Certain other types of distribution are chosen to fit the same random sample for comparison and the results prove that the beta distribution is superior to others.
出处
《岩土工程技术》
2006年第5期240-243,共4页
Geotechnical Engineering Technique
基金
湖北省自然科学基金项目(2005ABA303)
关键词
随机变量
分布拟合
β分布
经验公式
可靠性分析
random variable
distribution fitting
beta distribution
empirical formula
reliability analysis
