| 贡金鑫,李荣庆,王利欢.小样本问题的概率分析与工程应用[J].,2010,(1):86-92 |
| 小样本问题的概率分析与工程应用 |
| Probabilistic analysis of less size samples problem and its application to engineering |
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| DOI：10.7511/dllgxb201001017 |
| 中文关键词: 统计 小样本 可靠度 桩 |
| 英文关键词: statistics less size samples reliability piles |
| 基金项目:“十一五”国家科技支撑计划资助项目2006BAJ01B6-06. |
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| 中文摘要: |
| 统计分析是工程中数据处理的基本手段，也是可靠度分析的基础．由于条件和试验费用的限制，有时只能获得容量极小的样本，如工程中荷载试验桩的数量一般不多于4根．在这种情况下，采用的数据统计分析方法至关重要．研究表明，线性最小偏差方法对于极小样本的统计分析具有良好的适用性．针对线性最小偏差参数估计方法，给出了相关统计量的概率密度函数，以此为基础可分析所估计参数的概率特性．以工程中按试桩确定桩极限承载力的标准值为例讨论了所得公式的应用性，证明可用于工程中小样本数据的分析和处理． |
| 英文摘要: |
| Statistical analysis is the basic technique for processing data and the basis of reliability analysis. In some instances, only least size samples could be collected due to limited test conditions and expenses, for example, the number of tested piles for loading is no more than four. So it is important to find a way to deal with the data. In view of the efficiency of parameter evaluation method of linear least variance for less size samples problem, the probabilistic distributions of the evaluated parameters were derived and its application to determining the characteristic limit bearing capacity of tested piles in foundation engineering was discussed. The results show that it is feasible for analyzing and processing data of less size samples in engineering. |
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