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WROCŁAW UNIVERSITY
OF SCIENCE AND
TECHNOLOGY

Contents of PMS, Vol. 20, Fasc. 1,
pages 203 - 214
 

CONVERGENCE RATES IN THE STRONG LAW FOR ASSOCIATED RANDOM VARIABLES

Sana Louhichi

Abstract: We prove the Marcinkiewicz-Zygmund SLLN (MZ-SLLN) of order p,p (- [1,2[, for associated sequences, not necessarily stationary. Our assumption on the moment of the random variables is minimal. We present an example of an associated and strongly mixing sequence, with infinite variance, to which our results apply. The conditions yielding such results for this example are discussed.

1991 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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