摘要
建筑结构检测规定了材料强度等计量抽样检测的结果,且提供推定区间。为了更好地解释推定区间的含义,不同置信度的均值和95%保证率特征值推定区间的上限值和下限值系数,利用数理统计的概念推导了推定区间系数函数所服从的概率分布,MATLAB计算程序对不同样本容量、置信度、分位数的上限值系数和下限值系数进行了计算。计算结果与规范表中的系数高度吻合,进一步验证了理论推导及计算程序的正确性,提出上限值系数和下限值系数具体的求解方法。
In the inspection of building structures,it is stipulated that the estimation interval should be provided for inspection results of material strength and other sampling inspection batches.In order to further understand the meaning of the estimation interval and accurately calculate the upper and lower limit coefficients of estimation intervals for mean values and characteristic values with 95%assurance rate at different confidence levels,the probability distribution for the functions of estimation interval coefficients was derived with the concept of mathematical statistics,and the MATLAB calculation program was calculated the upper and lower limit coefficients with different sample sizes,confidence levels,and quantiles.The results and the coefficients in the specification table are highly consistent,further verifying the correctness of the theoretical derivation and calculation program.Specific solutions are given for the upper and lower limit coefficients,which can be directly applied in engineering as appropriate.
作者
李瑞雪
刘天明
LI Rui-xue;LIU Tian-ming(Beijing Second Construction Engineering Quality Inspection Institute Co.,Ltd.,10000,Beijing,China;Beijing Qiangyou Real EstateDevelopment Co.,Ltd.,10000,Beijing,China)
出处
《建筑技术》
2023年第13期1562-1566,共5页
Architecture Technology
关键词
统计推断
计量抽样
推定区间
置信度
非中心t分布
statistical inference
method of variables
estimated interval
confidence level
non-central t-distribution
