On the central limit theorem on IFS-events.
Petrovicová, Jozefina ; Beloslav, Riecan
Mathware and Soft Computing, Tome 12 (2005), p. 5-14 / Harvested from Biblioteca Digital de Matemáticas
Access to full text

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.

Publié le : 2005-01-01
DMLE-ID : 3431 
@article{urn:eudml:doc:40853,
     title = {On the central limit theorem on IFS-events.},
     journal = {Mathware and Soft Computing},
     volume = {12},
     year = {2005},
     pages = {5-14},
     zbl = {1074.60030},
     mrnumber = {MR2160343},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40853}
}

Petrovicová, Jozefina; Beloslav, Riecan. On the central limit theorem on IFS-events.. Mathware and Soft Computing, Tome 12 (2005) pp. 5-14. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40853/