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Poisson分形过程(英文)
引用本文:闫海岗,王晓天.Poisson分形过程(英文)[J].科学技术与工程,2009,9(15).
作者姓名:闫海岗  王晓天
作者单位:华南理工大学理学院,广州,510640
摘    要:提出了一类叫做Poisson分形过程W(j)H(t)的非Gauss的平稳增量过程,它可以用来研究包括金融和物理等许多领域中的长期依赖性.此过程W(j)H(t)在宽的意义下是自相似的,并且比Gauss过程展现出更厚的尾部.

关 键 词:长期依赖性  自相似  偏度  峰度

Poisson Fractal Processes
YAN Hai-gang,WANG Xiao-tian.Poisson Fractal Processes[J].Science Technology and Engineering,2009,9(15).
Authors:YAN Hai-gang  WANG Xiao-tian
Institution:Department of Mathematics;Institute of Science;South China University of Technology;Guangzhou 510640;P.R.China
Abstract:A class of non-Gaussian stationary increment processes is proposed,named Poisson fractal processes WH(j)(t),which permit the study of the effects of long-range dependence in a large number of fields including finance and physics. The processes WH(j)(t) are self-similar in wide sense,exhibit more fatter tail than Gaussian processes.
Keywords:long-range  dependence  self-similar  skewness  kurtosis
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