Expected values in the alternative set theory and their applications to some limit theorems

Martin Kalina

Commentationes Mathematicae Universitatis Carolinae (1994)

  • Volume: 35, Issue: 1, page 169-179
  • ISSN: 0010-2628

Abstract

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This article presents an alternative approach to statistical moments within non-standard models and by the help of these moments some limit theorems are reformulated and proved.

How to cite

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Kalina, Martin. "Expected values in the alternative set theory and their applications to some limit theorems." Commentationes Mathematicae Universitatis Carolinae 35.1 (1994): 169-179. <http://eudml.org/doc/247573>.

@article{Kalina1994,
abstract = {This article presents an alternative approach to statistical moments within non-standard models and by the help of these moments some limit theorems are reformulated and proved.},
author = {Kalina, Martin},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {alternative set theory; expected value; law of large numbers; central limit theorem; characterization; moments},
language = {eng},
number = {1},
pages = {169-179},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Expected values in the alternative set theory and their applications to some limit theorems},
url = {http://eudml.org/doc/247573},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Kalina, Martin
TI - Expected values in the alternative set theory and their applications to some limit theorems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 1
SP - 169
EP - 179
AB - This article presents an alternative approach to statistical moments within non-standard models and by the help of these moments some limit theorems are reformulated and proved.
LA - eng
KW - alternative set theory; expected value; law of large numbers; central limit theorem; characterization; moments
UR - http://eudml.org/doc/247573
ER -

References

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  1. Kalina M., Zlatoš P., Borel classes in AST. Measurability, cuts and equivalence, Comment. Math. Univ. Carolinae 30 (1989), 357-372. (1989) MR1014135
  2. Loeb P.A., Conversion from nonstandard to standard measure spaces and applications in probability theory, Trans. AMS 211 (1975), 113-122. (1975) Zbl0312.28004MR0390154
  3. Nelson E., Radically Elementary Probability Theory, Princeton University Press Princeton (1987). (1987) Zbl0651.60001MR0906454
  4. Vopěnka P., Mathematics in the Alternative Set Theory, Teubner Texte Leipzig (1979). (1979) MR0581368

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