基于有限比较法研究万州区滑带土干重度的概率分布  

The Study of Probability Distribution of Dry Unit Weight of Landslide Zone Soil in Wanzhou Area on Finite Contrast Method

作　　者：刘莲花[1] 罗文强[1] 

机构地区：[1]中国地质大学数学与物理学院,湖北武汉430074

出　　处：《山地学报》2009年第4期478-481,共4页Mountain Research

基　　金：国家自然科学基金资助项目(40372120;40672189);武汉市研究创新计划项目(20066002059)~~

摘　　要：对万州区滑坡滑带土干重度的86个测试数据进行拟合优度检验,发现多种传统的检验方法都既可以接受正态分布也可以接受对数正态分布。在传统检验方法失效的情况下,引入了有限比较法,确定了干重度的最优概率分布为正态分布,并用统计模拟的方法分析了有限比较法选中真实分布的概率。To determine the probability distribution of dry unit weight of landslide zone soil in Wanzhou area, this paper firstly apply several traditional goodness of fit methods, and find that both normal distribution and logarithmic normal distribution are acceptable to a variety of traditional goodness of fit methods. In order to determine the opti- mal probability distribution of dry unit weight, finite contrast method is proposed. Statistical simulation was used to analyze the probability of choosing the real distribution while using finite contrast method. The simulation results show that the probability of choosing the real distribution is not equal to one, it is affected by several factors, such as： the statistics pattern, the population distribution style, the population parameters, the sample size, etc. Though we may choose the unreal distribution while adopting finite contrast method, the probability of choosing the real one is much bigger, therefore finite contrast method is quite effective. In the end, finite contrast method is applied to determine the probability distribution of dry unit weight and derive a conclusion that the probability distribution of dry unit weight is normality.

关 键 词：干重度 概率分布 拟合优度检验 有限比较法 统计模拟 

分 类 号：R642.11[医药卫生—外科学] TU41[医药卫生—临床医学]