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On fractal distribution function estimation and applications

Theorem 9 - Collage Theorem for FT, (Forte and Vrscay, 1998)

Let (X, d) be a compact metric space and

with

Let (w, p) be an N-maps IFS with contractivity factor

such that

where

is the FT of ν = Mµ. Then

where

is the FT of the invariant measure

of M, i.e.

Stefano M. Iacus, Davide La Torre

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