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http://hdl.handle.net/11320/3670Pełny rekord metadanych
| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Okazaki, Hiroyuki | - |
| dc.contributor.author | Shidama, Yasunari | - |
| dc.date.accessioned | 2015-12-09T20:39:05Z | - |
| dc.date.available | 2015-12-09T20:39:05Z | - |
| dc.date.issued | 2013 | - |
| dc.identifier.citation | Formalized Mathematics, Volume 21, Issue 1, 2013, Pages 33-39 | - |
| dc.identifier.issn | 1426-2630 | - |
| dc.identifier.issn | 1898-9934 | - |
| dc.identifier.uri | http://hdl.handle.net/11320/3670 | - |
| dc.description.abstract | We have been working on the formalization of the probability and the randomness. In [15] and [16], we formalized some theorems concerning the real-valued random variables and the product of two probability spaces. In this article, we present the generalized formalization of [15] and [16]. First, we formalize the random variables of arbitrary set and prove the equivalence between random variable on Σ, Borel sets and a real-valued random variable on Σ. Next, we formalize the product of countably infinite probability spaces. | - |
| dc.description.sponsorship | The 1st author was supported by JSPS KAKENHI 21240001, and the 2nd author was supported by JSPS KAKENHI 22300285 | - |
| dc.language.iso | en | - |
| dc.publisher | De Gruyter Open | - |
| dc.title | Random Variables and Product of Probability Spaces | - |
| dc.type | Article | - |
| dc.identifier.doi | 10.2478/forma-2013-0003 | - |
| dc.description.Affiliation | Okazaki Hiroyuki - Shinshu University Nagano, Japan | - |
| dc.description.Affiliation | Shidama Yasunari - Shinshu University Nagano, Japan | - |
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| Występuje w kolekcji(ach): | Formalized Mathematics, 2013, Volume 21, Issue 1 | |
Pliki w tej pozycji:
| Plik | Opis | Rozmiar | Format | |
|---|---|---|---|---|
| forma-2013-0003.pdf | 208,5 kB | Adobe PDF | Otwórz |
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