华中科技大学学报（自然科学版）2017，Vol.45Issue(8)：93-98,6.DOI:10.13245/j.hust.170818
基于Bootstrap法的小样本岩土参数标准值计算
Calculating formula for standard value of small-sample geotechnical parameters based on Boot strap method
摘要
Abstract
For the problem that the estimated interval of mean value of geotechnical parameters using t-distribution method with limited samples varied in a wide range and the standard value of design parameters deviated highly from the true value,computer stochastic simulation was carried out to model the site-investigate sampling with known distribution type of geotechnical parameters.Based on the standard value space constructed from replicates with sufficient batches,the estimated interval available from nonparametric Bootstrap method and traditional t-distribution method was compared,and the change law of standard value of geotechnical parameters by Bootstrap method versus statistics and size of sample was discussed.The results show that Bootstrap method can make full use of empirical distribution contained in insufficient information,and thus to effectively narrow the mean confidence interval of geotechnical parameter under the same confidence level,which makes the standard value be closer to the true value than t-distribution method.The width of mean confidence interval for geotechnical parameters by Bootstrap method decreases with the increase of sample size,and the standard value shows a satisfied negative power functioning relationship with the sample size.A mean-based expression of standard value considering the effect of sample size and standard deviation was proposed.The advantage of Bootstrap method to reduce deviation between the standard value and the true is more obvious when the sample size is smaller than 20.关键词
岩土参数/标准值/Bootstrap法/小样本/区间估计Key words
geotechnical parameters/standard value/Bootstrap method/small-sample/interval estimation分类
建筑与水利引用本文复制引用
罗强,骆飞,蒋良潍,张文生..基于Bootstrap法的小样本岩土参数标准值计算[J].华中科技大学学报（自然科学版）,2017,45(8):93-98,6.基金项目
国家重点基础研究发展计划资助项目(2013CB036204). （2013CB036204）
