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WROCŁAW UNIVERSITY
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TECHNOLOGY

Contents of PMS, Vol. 7, Fasc. 2,
pages 149 - 158
 

CONVERGENCE MATES IN THE STRONG LAW OF LARGE NUMBERS FOR SUMS OF RANDOM VARIABLES WITH MULTIDIMENSIONAL INDICES

Z. A. Łagodowski
Z. Rychlik

Abstract: We consider a set of independent random variables indexed by Zd  (d > 1), the positive integer d -dimensional lattice points, and study the convergence rates in the strong law of large numbers. The results presented provide us with much deeper understanding of the tail probability of distributions.

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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