journal6 ›› 2012, Vol. 33 ›› Issue (3): 20-21.DOI: 10.3969/j.issn.1007-2985.2012.03.006

• 数学 • 上一篇    下一篇

对比正态分布与多重分形

  

  1. (福建省仙游师范学校,福建 仙游351200)
  • 出版日期:2012-05-25 发布日期:2012-08-24
  • 作者简介:曾捷斌(1957-),男,福建仙游人,福建省仙游师范学校高级讲师,主要从事概率论与数理统计研究.

Contrast Between Normal Distribution and Multifractals

  1. (Xianyou Normal School of Fujian Province,Xianyou 351200,Fujian China)
  • Online:2012-05-25 Published:2012-08-24

摘要:研究对象的标度r与容量值N(r)的双对数关系若包含2个直线段,常被解释为多重分形,但这种特征可以由正态分布的观测值造成.通过实例介绍和分析,认为分形理论并不适用于随机分布的研究对象.

关键词: 正态分布, 多重分形, 对比

Abstract: Objects investigated are usually interpreted as multifractals with the double logarithmic relationship between scale (r) and capacity value N(r) consisting of two straight segments.But such features can be caused by the observations of normal distribution.Based on case analysis,this paper argues that fractal theory does not apply perfectly to the objects of random distribution.

Key words: normal distribution, multifractals, contrast

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