The Precision Estimate of Multi-Fractal Methods of Time Sequence of Earthquakes

At present, there are many methods of calculating seismic time-fractal. However, there isn' t a quantitative result about the precision of every method. So, in this paper, we use the digital imitation of theoretic model to solve precision estimate problems of calculating the precision of one dimension distribution of theoretic models with Cantor multi-fractal set, we obtained some results as follows: (1) There exists many problems such as rules, numbers of samples, basic point selection, the diffence resulted from different methods and so on. (2) The fixed-mass method (MAS) and the minimal spanning tree method (MST) can give good structure characteristics with different q value, while the counting-boxes method can' t. And the error of the fixed-radius method (RAD) in the range of -q is too big. (3) There are scale problems of rules for multi-fractal, it is objective reflection for non-rule area. (4) MST has the boundary problem, while MAS and RAD don't. (5) With increasing sample number, the precision of all fractal-dimension values becomes higher.