Revistes Catalanes amb Accés Obert (RACO)

On the central limit theorem on IFS-events

Jozefina Petrovicova, Riecan Beloslav


A probability theory on IFS-events has been constructed in [3], and axiomatically
characterized in [4]. Here using a general system of axioms it
is shown that any probability on IFS-events can be decomposed onto two
probabilities on a Lukasiewicz tribe, hence some known results from [5], [6]
can be used also for IFS-sets. As an application of the approach a variant of
Central limit theorem is presented

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