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  3. Formalized Mathematics
  4. Formalized Mathematics, 2010, Volume 18, Issue 4

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    • Proszę używać tego identyfikatora do cytowań lub wstaw link do tej pozycji: http://hdl.handle.net/11320/3578
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    Pole DCWartośćJęzyk
    dc.contributor.authorOkazaki, Hiroyuki-
    dc.contributor.authorShidama, Yasunari-
    dc.date.accessioned2015-12-02T18:02:54Z-
    dc.date.available2015-12-02T18:02:54Z-
    dc.date.issued2010-
    dc.identifier.citationFormalized Mathematics, Volume 18, Issue 4, 2010, Pages 213-217-
    dc.identifier.issn1426-2630-
    dc.identifier.issn1898-9934-
    dc.identifier.urihttp://hdl.handle.net/11320/3578-
    dc.description.abstractIn this article we continue formalizing probability and randomness started in [13], where we formalized some theorems concerning the probability and real-valued random variables. In this paper we formalize the variance of a random variable and prove Chebyshev's inequality. Next we formalize the product probability measure on the Cartesian product of discrete spaces. In the final part of this article we define the algebra of real-valued random variables.-
    dc.language.isoen-
    dc.publisherDe Gruyter Open-
    dc.titleProbability Measure on Discrete Spaces and Algebra of Real-Valued Random Variables-
    dc.typeArticle-
    dc.identifier.doi10.2478/v10037-010-0026-6-
    dc.description.AffiliationOkazaki Hiroyuki - Shinshu University, Nagano, Japan-
    dc.description.AffiliationShidama Yasunari - Shinshu University, Nagano, Japan-
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    dc.description.referencesBo Zhang, Hiroshi Yamazaki, and Yatsuka Nakamura. The relevance of measure and probability, and definition of completeness of probability. Formalized Mathematics, 14(4):225-229, 2006, doi:10.2478/v10037-006-0026-8.-
    Występuje w kolekcji(ach):Formalized Mathematics, 2010, Volume 18, Issue 4

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