以中国交易所债券市场为例,运用多重分形消除趋势波动分析法(MF-DFA)和多分形谱分析方法对债券市场的多重分形特征与成因问题进行分析。研究结果表明,中国债券市场的国债指数和企债指数的收益率序列存在多重分形特征;指数收益率序列的多分形特征由序列的长期相关性和肥尾分布两个因素共同决定,这其中肥尾分布所造成的影响更为重要。
Taking China′s exchange bond market for example,multi-fractal detrended fluctuation analysis(MF-DFA)and multifractal spectrum analysis method were used to analyze the features and cause of multi-fractal in China′s bond market.There are proved that the return series of treasury bonds and corporate bond index in China′s bond market have multi-fractal characteristics;There are two different types of sources for multi-fractal Characteristics in times series,namely,long-term correlation and fat-tailed probability distribution,and fat-tailed probability distribution is the main source.