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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 1, Pages 127–139 (Mi timm533)  
This article is cited in 1 scientific paper (total in 1 paper)

Sigma-compactness of metric Boolean algebras and uniform convergence of frequencies to probabilities

E. G. Pytkeev, M. Yu. Khachai

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (204 kB) Citations (1)
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Abstract: The topological properties of a pseudometric space defined by a measure are investigated. Criteria of compactness and $\sigma$-compactness of this space are proved. A new sufficient condition for the uniform convergence (over an event class) of frequencies to probabilities is proved as a corollary.
Keywords: metric Boolean algebra, sigma-compactness, uniform convergence of frequencies to probabilities over an event class.
Received: 15.12.2009
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2011, Volume 272, Issue 1, Pages S138–S151
DOI: https://doi.org/10.1134/S0081543811020118
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: E. G. Pytkeev, M. Yu. Khachai, “Sigma-compactness of metric Boolean algebras and uniform convergence of frequencies to probabilities”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 1, 2010, 127–139; Proc. Steklov Inst. Math. (Suppl.), 272, suppl. 1 (2011), S138–S151
Citation in format AMSBIB
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\issue 1
\pages 127--139
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\jour Proc. Steklov Inst. Math. (Suppl.)
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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