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Moment conditions for almost sure convergence of weakly correlated random variables

Authors: W. Bryc and W. Smoleński
Journal: Proc. Amer. Math. Soc. 119 (1993), 629-635
MSC: Primary 60F15; Secondary 60E15
MathSciNet review: 1149969
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Abstract: For random sequences with unrestricted maximal correlation coefficient strictly less than $ 1$, sufficient moment conditions for almost sure convergence of a series and for the strong law of large numbers are given.

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Keywords: Maximal correlation, almost surely convergent series, strong law of large numbers
Article copyright: © Copyright 1993 American Mathematical Society

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