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物理学报  2010 

A valid method to compute the segment size in detrended fluctuation analysis
去趋势波动分析方法中不重叠等长度子区间长度的确定

Keywords: detrended fluctuation analysis,parameter selection,segment,optimal selection
去趋势波动分析
,参数选择,区间,最优选取

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Abstract:

We develop a method to compute the segment size in the detrended fluctuation analysis (DFA), which is based on the basic concept of the information theory, and verify the method effectiveness by numerical experiment. This method is freed from the problem of subjectivity in the former process to choose the segment size which usually leads to false result. We Change the length of sequence with dynamics being the same, the results remain stable. The results indicate that when the length of sequence is too short, even the optimal selection of segment size is not enough for the portrait of the overall dynamic system, thus the DFA cannot be used in this circumstance. The method we developed in this paper can enhance the reliability of DFA results by judging whether the sequences analyzed meet the requirements of DFA. We also obtain the DFA index from 1961 to 2000 of China through DFA method and analyze its spatial characteristics of distribution.

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