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《PLATEAN EARTHQUAKE RESEARCH》 1994-01
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A DIGITAL APPROXIATION AND STATISTICAL TESTING METHOD FOR CALCULATION OF FRACTAL DIMENSION

Jiang Haikun;Wang Zhongming (Seismological Bureau of Shandong Province,China)  
According to the oraginal definition of fractal dimension,a digital approximation and statistical testing method for calculation of fractal dimension was given in this paper. If measured object is statistical independent of scale in some range of rule,this method can compute the fractal dimension in given computation accuracy and,go a step further,is helpful for discrimination of range of “scaling ruled”. On the premise that the {bk},set of dimension,corlespond to the normal distribution,the consistency of sample distribution of {bk} will be tested by коимоговtesting method. This process may help us to judge whether the (bk) contains“ abnormal value” or not. Here the “Normalization maximum difference testing method” can be used to find and reject the “abnormal value” from the {bk}.A obvious characteristic of the method given in this paper is :all the judging and statistical testing are direeted against the final datas (fractal dimension). The application of manmade datas also shows that the method is objective and practicable.
【Fund】: 地震联合基金
【CateGory Index】: P315
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