斜坡安全系数概率分布的参数估计与假设检验  

Parameter Estimate and Hypothesis Testing for the Distribution of Slope Safety Factors

作　　者：尹建桥[1] 罗文强[1] 

机构地区：[1]中国地质大学数理学院,武汉430074

出　　处：《应用数学》2006年第S1期133-136,共4页Mathematica Applicata

基　　金：国家自然科学基金资助项目(40372120)

摘　　要：本文主要对斜坡的安全系数的分布情况进行了研究,由原始数据绘出Q-Q图和直方图,由图得出安全系数近似服从正态分布.Q-Q图的直线性很好地反映了安全系数的正态性,通过计算分位数对之间的相关系数来度量其直线性,即而检验了安全系数的正态性,最后得出斜坡的安全系数是服从正态分布的.The basic principles and detailed steps of Q-Q plot analysis method are introduced. As an example,the normality of Yancun landslide's safety factors was tested in this paper. The conclusion is that the safety factors of the landslide obey normal distribution.According to this results,elicited are the destroy probability,the reliability indexes and the Reliability. Accordingly the grade of Yancun landslide's stability was gained in the end.

关 键 词：正态性检验 安全系数 分位数 相关系数 

分 类 号：O212.1[理学—概率论与数理统计]