| Title:
|
Expected values in the alternative set theory and their applications to some limit theorems (English) |
| Author:
|
Kalina, Martin |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
35 |
| Issue:
|
1 |
| Year:
|
1994 |
| Pages:
|
169-179 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
alternative set theory |
| Keyword:
|
expected value |
| Keyword:
|
law of large numbers |
| Keyword:
|
central limit theorem |
| MSC:
|
03E70 |
| MSC:
|
03H05 |
| MSC:
|
26E35 |
| MSC:
|
60A99 |
| MSC:
|
60F05 |
| MSC:
|
60F99 |
| idZBL:
|
Zbl 0802.60023 |
| idMR:
|
MR1292592 |
| . |
| Date available:
|
2009-01-08T18:09:39Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118650 |
| . |
| Reference:
|
[K-Z] Kalina M., Zlatoš P.: Borel classes in AST. Measurability, cuts and equivalence.Comment. Math. Univ. Carolinae 30 (1989), 357-372. MR 1014135 |
| Reference:
|
[L] Loeb P.A.: Conversion from nonstandard to standard measure spaces and applications in probability theory.Trans. AMS 211 (1975), 113-122. Zbl 0312.28004, MR 0390154 |
| Reference:
|
[N] Nelson E.: Radically Elementary Probability Theory.Princeton University Press Princeton (1987). Zbl 0651.60001, MR 0906454 |
| Reference:
|
[V] Vopěnka P.: Mathematics in the Alternative Set Theory.Teubner Texte Leipzig (1979). MR 0581368 |
| . |
