Sigma-compactness of metric boolean algebras and uniform convergence of frequencies to probabilities / Pytkeev E. G.,Khachai M. Yu. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2011. - V. 272, l. 1. - P. 138-151.

ISSN/EISSN:

0081-5438 / нет данных

Type:

Article

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.

Author keywords:

metric Boolean algebra; sigma-compactness; uniform convergence of frequencies to probabilities over an event class

DOI:

10.1134/S0081543811020118

Web of Science ID:

ISI:000289527400011

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	APR
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied; Mathematics
Author-Email	pyt@imm.uran.ru mkhachay@imm.uran.ru
ResearcherID-Numbers	Khachay, Michael/H-3251-2013
ORCID-Numbers	Khachay, Michael/0000-0003-3555-0080
Funding-Acknowledgement	Russian Foundation for Basic Research {[}07-07-00168, 09-01-00139]; Russian Federation {[}NSh-2081.2008.1]; Presidium of the Russian Academy of Sciences; Division of Mathematical Sciences of the Russian Academy of Sciences
Funding-Text	This work was supported by the Russian Foundation for Basic Research (project nos. 07-07-00168 and 09-01-00139), by the Program for State Support of Leading Scientific Schools of the Russian Federation (project no. NSh-2081.2008.1), and by the Program for Fundamental Research of the Presidium of the Russian Academy of Sciences and of the Division of Mathematical Sciences of the Russian Academy of Sciences,
Number-of-Cited-References	6
Journal-ISO	Proc. Steklov Inst. Math.
Doc-Delivery-Number	750EJ