On statistical limit points

The set of all statistical limit points of a given sequence x_n is characterized as an F_\sigma-set. It is also characterized in terms of discontinuity points of distribution functions of x_n.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2001-09, Vol.129 (9), p.2647-2654
Main Authors: Kostyrko, P., Mačaj, M., Šalát, T., Strauch, O.
Format: Article
Language:English
Subjects:
College mathematics
Distribution functions
Integers
Mathematical intervals
Mathematical sequences
Mathematical sets
Real numbers
Statistical theories
Statistics
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Description
Summary:The set of all statistical limit points of a given sequence x_n is characterized as an F_\sigma-set. It is also characterized in terms of discontinuity points of distribution functions of x_n.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-00-05891-3