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Iterated Function Systems (IFSs) were born in mideighties as applications of the theory of discrete dynamical systems and as useful tools to build fractals and other similar sets. Some possible applications of IFSs can be found in image processing theory in the theory of stochastic growth models and in the theory of random dynamical systems. We propose to apply (affine) IFSs to statistics. In particular, we are concerned with the problem of distribution function estimation and related quantities like the characteristic and density function.

Fractals and Statistics: An R Package Called IFS