中南大学学报（自然科学版）2011，Vol.42Issue(9)：2843-2847,5.
沉降计算经验系数的Bootstrap法置信区间估计
Estimation of confidence interval of empirical coefficients in calculating foundation settlement by Bootstrap method
摘要
Abstract
Because of the scarcity of samples in engineering and the difficulty in inferring the probabilistic distribution of empirical coefficient by regular methods during the calculation of foundation settlement, the probabilistic distribution and confidence interval of empirical coefficient were determined by Bootstrap method. By re-sampling from the existing samples, the true distributions of parameters were approximated by Bootstrap method and the possible deviation was corrected. As a result, unbiased confidence interval estimation was obtained. A subgrade of a passenger dedicated railway was given to illustrate the proposed method and the results show that, under the condition of small sample of empirical coefficient in calculating foundation settlement, Bootstrap method is efficient to estimate the probability distributions and confidence intervals of unknown parameters; when the range of surface load is 40-240 kPa, the empirical coefficients of foundation settlement decrease with increasing loads for red clay; the mean value of empirical coefficients obeys normal distribution, and its confidence interval is [0.637, 0.884], [0.637 0.884] and [0.901, 1.165] respectively at the confidence of 95%.关键词
沉降/经验系数/小样本/Bootstrap法/置信区间Key words
settlement/ empirical coefficients/ small sample/ Bootstrap method/ confidence interval estimation分类
建筑与水利引用本文复制引用
谢桂华,张家生,刘荣桂..沉降计算经验系数的Bootstrap法置信区间估计[J].中南大学学报（自然科学版）,2011,42(9):2843-2847,5.基金项目
国家自然科学基金资助项目(51078170) （51078170）
江苏大学基金资助项目(10DJG097) （10DJG097）
江苏大学博士后科研资助项目(1143001087) （1143001087）
