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WROCŁAW UNIVERSITY
OF SCIENCE AND
TECHNOLOGY

Contents of PMS, Vol. 14, Fasc. 2,
pages 281 - 285
 

COMPARISON OF SUMS OF INDEPENDENT IDENTICALLY DISTRIBUTED RANDOM VECTORS

S. J. Montgomery-Smith

Abstract: Let S k be the k -th partial sum of Banach space valued independent identically distributed random variables. In this paper, we compare the tail distribution of ||S || k with that of ||S ||, j and deduce some tail distribution maximal inequalities.

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

Key words and phrases: -

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