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WROCŁAW UNIVERSITY
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TECHNOLOGY

Contents of PMS, Vol. 10, Fasc. 2,
pages 247 - 255
 

REARRANGEMENTS OF SEQUENCES OF RANDOM VARIABLES AND EXPONENTIAL INEQUALITIES

Bernard Heinkel

Abstract: Exponential bounds are studied for P (|| X + ...+ X || > t),
     1        n where (X ,...,X )
   1     n denotes a sequence of independent random variables with values in a real separable Banach space (B,||||). In our results the usual boundedness assumptions on ||X  ||,...,||X ||,
   1       n are replaced by hypotheses on the weak l
 p  -norm of the sequence (||X || ,...,||X ||).
    1       n

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

Key words and phrases: -

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