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Contents of PMS, Vol. 22, Fasc. 1,
pages 127 - 139
 

MARCINKIEWICZ-TYPE STRONG LAW OF LARGE NUMBERS FOR PAIRWISE INDEPENDENT RANDOM FIELDS

Ewa B. Czerebak-Mrozowicz
Oleg I. Klesov
Zdzisław Rychlik

Abstract: We present the Marcinkiewicz-type strong law of large numbers for random fields (X , n n (- Zd ) + of pairwise independent random variables, where Zd ,d > 1, + is the set of positive d -dimensional lattice points with coordinatewise partial ordering.

1991 AMS Mathematics Subject Classification: Primary 60F0S, 60F15.

Key words and phrases: Marcinkiewicz strong law of large numbers, pairwise independent random variables, random fields.

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