On the central limit theorem on IFS-events.

Jozefina Petrovicová; Riecan Beloslav

Mathware and Soft Computing (2005)

  • Volume: 12, Issue: 1, page 5-14
  • ISSN: 1134-5632

Abstract

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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.

How to cite

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Petrovicová, Jozefina, and Beloslav, Riecan. "On the central limit theorem on IFS-events.." Mathware and Soft Computing 12.1 (2005): 5-14. <http://eudml.org/doc/40853>.

@article{Petrovicová2005,
abstract = {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.},
author = {Petrovicová, Jozefina, Beloslav, Riecan},
journal = {Mathware and Soft Computing},
keywords = {Teorema central del límite; Conjuntos difusos; Lógica intuicionista},
language = {eng},
number = {1},
pages = {5-14},
title = {On the central limit theorem on IFS-events.},
url = {http://eudml.org/doc/40853},
volume = {12},
year = {2005},
}

TY - JOUR
AU - Petrovicová, Jozefina
AU - Beloslav, Riecan
TI - On the central limit theorem on IFS-events.
JO - Mathware and Soft Computing
PY - 2005
VL - 12
IS - 1
SP - 5
EP - 14
AB - 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.
LA - eng
KW - Teorema central del límite; Conjuntos difusos; Lógica intuicionista
UR - http://eudml.org/doc/40853
ER -

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