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Articles

Vol. 1 No. 1 (2013)

From Fractal Geometry to Statistical Fractal

DOI:
https://doi.org/10.32871/rmrj1301.01.09
Submitted
February 15, 2017
Published
June 18, 2013
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Keywords

  • fractal geometry
  • fractal statistics
  • fractal dimension
  • scale- invariance
  • self- similarity
  • probability distribution

Abstract

The development from fractal geometry to fractal statistics was established in this paper. Interesting features such as self similarity, scale invariance, and the spacefilling property of objects (fractal dimension) of fractal geometry provided an enormous groundwork to build a link towards the statistical paradigm since most data sets are endowed with its non-normal and irregular characteristic. A new probability distribution called fractal distribution was modeled to accommodate this non-normal conforming characteristic of most data sets and sample investigations were presented at the end of the paper.

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