摘要
研究Beta分布随着参数选取的不同可以转化为其他不同的分布,从简单分布到复杂分布,从对称分布到不对称分布,因此Beta分布的适应性很强,建议用Beta分布拟合岩土工程中随机变量的分布类型。在Beta分布的四个参数确定中,利用随机加权法较准确地估计出四个参数,随机加权法不仅解决了传统算法的繁琐迭代过程,而且避免了迭代过程可能产生的不收敛现象,通过实例分析表明,随机加权法的精度满足工程需要,具有很重要的工程实际意义。
With the different parameters selection,Beta distributions can be transformed into various other distribution,ranging from simple distribution to complex distribution,from symmetrical distribution to asymmetrical distribution.So Beta distribution is a highly adaptable and recommended to fit for the types of random variables distribution in Geotechnical Engineering.The random weighting method is employed to determine the four parameters of Beta distribution,for it can more accurately estimate these four parameters,the random weighting method not only solves the cumbersome iterative process of the traditional algorithm,but also avoids the non-convergence phenomenon in the process of iteration.It is shown that the accuracy of random weighting method can meet the engineering needs,which possesses important practical significance for the project.
出处
《地下空间与工程学报》
CSCD
北大核心
2010年第5期986-989,共4页
Chinese Journal of Underground Space and Engineering
关键词
BETA分布
岩土工程
随机加权法
迭代
收敛
Beta distribution
geotechnical engineering
random weighting method
iteration
convergence