AN IMPROVED METHOD OF GOODNESS-OF-FIT TEST FOR FISHER DISTRIBUTION TO DISCONTINUITY ORIENTATIONS
ZHENG Jun1，2，3，DENG Jianhui2，WEI Jinbing2
(1. College of Civil Engineering and Architecture，Zhejiang University，Hangzhou，Zhejiang 310058，China；2. State Key Laboratory of Hydraulics and Mountain River Engineering，Sichuan University，Chengdu，Sichuan 610065，China；3. Rock Mass Modeling and Computational Rock Mechanics Laboratories，University of Arizona，Tucson 85721，USA)
Abstract：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.
郑 俊1，2，3，邓建辉2，魏进兵2. 不连续面产状Fisher分布拟合度检验方法的改进[J]. 岩石力学与工程学报, 2015, 34(08): 1561-1568.
ZHENG Jun1，2，3，DENG Jianhui2，WEI Jinbing2. AN IMPROVED METHOD OF GOODNESS-OF-FIT TEST FOR FISHER DISTRIBUTION TO DISCONTINUITY ORIENTATIONS. , 2015, 34(08): 1561-1568.
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2015, Vol. 34 
