不连续面产状Fisher分布拟合度检验方法的改进

 Fisher分布是描述不连续面产状最常用的概率密度函数。在使用Fisher分布描述不连续面产状时，首先应对Fisher分布拟合度进行检验。在回顾Fisher分布拟合度的传统检验方法的基础上，提出一种新的修正检验法。修正检验法的核心思想是在检验过程中对“超越上半球投影的产状(OEBEUHP)”进行调整。最后给出3个算例：算例1和2采用利用蒙特卡洛模拟技术生成的理论上服从Fisher分布的数据，通过对比传统检验法和修正检验法的结果来验证修正检验法的正确性；算例3中的数据来自某露天金矿边坡，该算例作为工程实例来应用本文提出的修正检验方法。结果表明：(1) 由于受OEBEUHP的影响，利用传统检验方法可能会得出错误的检验结果(如算例1和3)；(2) 由于对OEBEUHP进行了调整，修正检验法总能得到正确的检验结果；故在检验不连续面产状Fisher分布拟合度时应采用本文所倡导的修正检验法。

AN IMPROVED METHOD OF GOODNESS-OF-FIT TEST FOR FISHER DISTRIBUTION TO DISCONTINUITY ORIENTATIONS

Fisher distribution is the most commonly used function of probability density for discontinuity orientations. Before using Fisher distribution to describe the discontinuity orientations，a goodness-of-fit test for them should be performed. The traditional method of goodness-of-fit tests for fisher distribution to discontinuity orientations was firstly reviewed in this paper and an improved method was then proposed. The core idea of the improved method was to adjust those orientations extending beyond the edge of the upper hemisphere projection(OEBEUHP) during the test. Three examples were given. The data of examples 1 and 2 were generated using the Monte Carlo simulation technique，which theoretically followed Fisher distributions. A comparison of the test results from the proposed and the traditional methods was made to verify the proposed method. The data of Example 3 was the application of the proposed method to a mine slope of an open pit. The results showed that the test results from the traditional method might be wrong because of the influence of the OEBEUHP. The correct test results were always obtained with the proposed method since the OEBEUHP were adjusted(such as in examples 1 and 3). The proposed method was therefore suggested to be used while in preforming a goodness-of-fit test to Fisher distribution of discontinuity orientations.