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Fractal
The financial definition for Fractal:
An object in which the parts are in some way related to the whole. That is,
the individual components are "self-similar." An example is the branching
network in a tree. While each branch, and each successive smaller branching is different,
they are qualitatively similar to the structure of the whole tree.
Similar MatchesFractal DimensionFractal Dimension A number that quantitatively describes how an object fills its space. In Euclidean, or Plane geometry, objects are solid
and continuous. That is, they have no holes or gaps. As such, they have integer
dimensions. Fractals are rough and often
discontinuous, like a wiffle ball, and so have fractional, or fractal dimensions.
Fractal DistributionFractal Distribution A probability
density function that is statistically self-similar. That is, in different increments of
time, the statistical characteristics remain the same.
Stable Paretian, or Fractal HypothesisStable Paretian, or Fractal Hypothesis In the characteristic function of the fractal family of distributions, the characteristic
exponent alpha can range between one and two. See: Alpha, Fractal Distributions, Gaussian.
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