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Hurst指数分析地震震级趋势
Application of Hurst exponent to analyzing the trend of earthquake magnitude
【摘要】 应用Hurst指数及分形维D、相关系数C和V统计量图形以及散点图和拟合趋势线方法,分析全球7.0级以上地震震级序列,发现该序列是分形布朗运动,均值回复过程(粉红噪声,反持续性,逆状态持续性),且具频繁的逆转突变性或易变性,长期情况下其震级呈现极微弱的下降趋势。可供地震研究和安全研究工作参考。
【Abstract】 The sequence of global earthquake magnitude of 7.0 and more than 7.0 is analyzed by the methods of Hurst exponent,fractal dimension D,correlation coefficient C and V-statistics and the scatter diagram and fitting trend line.The results show that this sequence is a fractional Brownian motion,mean reversion process(pink noise,anti-persistence and persistence against the state),and with a frequent reversal mutation or volatility.In the long case,the magnitude shows a very slight downward trend.Conclusion of the study can provide reference for seismic studies and safety studies.
【Key words】 earthquakes; Hurst exponent(H); time series analysis; fractional Brownian motion; anti-persistence;
- 【文献出处】 重庆大学学报 ,Journal of Chongqing University , 编辑部邮箱 ,2013年05期
- 【分类号】P315.7
- 【被引频次】1
- 【下载频次】80