On the central limit theorem on IFS-events

• Autores: J. Petrovicová, B. Riecan
• Localización: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology, ISSN-e 1134-5632, Vol. 12, Nº. 1, 2005, págs. 5-14
• Idioma: inglés
• Títulos paralelos:
  • Sobre el teorema del límite central para sucesos IFS
• Enlaces
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• Resumen

  • 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.