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An analog of the Baum-Katz theorem for weakly dependent random variables

Authors :
Anna Mikusheva
Source :
Mathematical Notes. 67:301-308
Publication Year :
2000
Publisher :
Springer Science and Business Media LLC, 2000.

Abstract

In this paper we study the limiting behavior of sums of dependent random variables under a strong mixing condition. We obtain conditions for which an analog of the Baum-Katz theorem holds and cite an example showing their optimality.

Subjects

Subjects :
Discrete mathematics
Exchangeable random variables
Pure mathematics
Mixing (mathematics)
Picard–Lindelöf theorem
Law of large numbers
General Mathematics
Wiener–Khinchin theorem
Marcinkiewicz interpolation theorem
Mean value theorem
Central limit theorem
Mathematics

Details

ISSN :
15738876 and 00014346
Volume :
67
Database :
OpenAIRE
Journal :
Mathematical Notes
Accession number :
edsair.doi...........6325e0cd69f0ae0f763b1257c9ecbdeb
Full Text :
https://doi.org/10.1007/bf02676666
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