| 沉降计算经验系数的Bootstrap法置信区间估计 |
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| 引用本文： | 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(9). |
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| 作者姓名： | 谢桂华 张家生 刘荣桂 |
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| 作者单位： | 江苏大学土木与力学学院;中南大学土木工程学院; |
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| 基金项目： | 国家自然科学基金资助项目(51078170); 江苏大学基金资助项目(10DJG097);江苏大学博士后科研资助项目(1143001087) |
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| 摘 要： | 采用Bootstrap法推断小样本条件下的沉降计算经验系数概率特征及置信区间,以解决工程中沉降计算经验系数样本量很少,难以应用常规统计方法分析其概率分布的问题。直接对样本重抽样,根据Bootstrap样本逼近参数真实分布,并纠正Bootstrap仿真过程中出现的偏差,以获得参数的无偏置信区间。通过某客运专线路基工程实例分析,得出:采用Bootstrap法可较好地推断小样本条件下沉降计算经验系数未知参数的概率分布,获得参数的置信区间;当面荷载在40～240 kPa范围内取值时,红黏土地基的沉降计算经验系数均值随载荷的增大而减少,经验系数均值服从正态分布,置信度为95%的经验系数均值的置信区间按荷载范围依次为0.637,0.884],0.637,0.884]及0.901,1.165]。
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| 关 键 词： | 沉降 经验系数 小样本 Bootstrap法 置信区间 |
Estimation of confidence interval of empirical coefficients in calculating foundation settlement by Bootstrap method |
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| XIE Gui-hua,ZHANG Jia-sheng,LIU Rong-gui.Estimation of confidence interval of empirical coefficients in calculating foundation settlement by Bootstrap method[J].Journal of Central South University:Science and Technology,2011(9). |
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| Authors: | XIE Gui-hua ZHANG Jia-sheng LIU Rong-gui |
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| Institution: | XIE Gui-hua1,ZHANG Jia-sheng2,LIU Rong-gui1 (1.School of Civil Engineering and Mechanics,Jiangsu University,Zhenjiang 212013,China,2.School of Civil Engineering,Central South University,Changsha 410075,China) |
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| 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 in... |
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| Keywords: | settlement empirical coefficients small sample Bootstrap method confidence interval estimation |
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