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干散货航运价格指数分形结构研究
引用本文:李电生,万培祥,员丽芬. 干散货航运价格指数分形结构研究[J]. 北京交通大学学报(社会科学版), 2012, 0(3): 51-56
作者姓名:李电生  万培祥  员丽芬
作者单位:中国海洋大学经济学院;北京交通大学交通运输学院
基金项目:国家社科基金项目(09BJY074);山东省软科学项目(2008RKA076)
摘    要:运用分形分布理论对国际干散货航运价格指数的分布结构进行研究,对价格指数序列的Hurst指数及盒维数进行估算,结果表明干散货航运价格指数时间序列具有尖峰厚尾及长期记忆性等分形分布特征。通过对分形分布与正态分布拟合结果的比较发现,正态分布会高估时间序列的收益,并低估其风险,而分形分布能够更好地对其进行拟合,本文对运价指数序列的分形分布参数进行了估算。

关 键 词:运价指数  分形分布  H指数  盒维数

A Fractal Structure Study on Shipping Price Index of Dry Bulk
LI Dian-sheng,WAN Pei-xiang,YUN Li-fen. A Fractal Structure Study on Shipping Price Index of Dry Bulk[J]. Journal of Beijing Jiaotong University Social Sciences Edition, 2012, 0(3): 51-56
Authors:LI Dian-sheng  WAN Pei-xiang  YUN Li-fen
Affiliation:1.School of Economics,Ocean University of China,Qingdao Shandong 266100,China;2.School of Traffic and Transportation,Beijing Jiaotong University,Beijing 100044,China)
Abstract:Based on the theory of fractal distribution,this paper studies the distribution structure of international shipping price index of dry bulk,and estimates the Hurst index and the box dimension of the price index series.The result shows that the time series of the shipping price index of dry bulk is characterized by such fractal features as fat-tail distribution and long-term memory.Meanwhile,the comparisons between the fitting results of the fractal distribution and the normal distribution show that normal distribution may over-estimate the income of time series and underestimate its risks;while fractal distribution can fit it better,as well as estimating the fractal structure index of shipping price index series.
Keywords:shipping price index  fractal distribution  H index  box dimension
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