3 research outputs found
On the central limit theorem on IFS-events
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 presente
On the central limit theorem on IFS-events
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 presente
On the central limit theorem on IFS-events
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 presente