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WROCŁAW UNIVERSITY
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Contents of PMS, Vol. 8, Fasc. ,
pages 151 - 154
 

ON CONVERGENCE OF SOME RANDOM SERIES AND INTEGRALS

Nguyen Nam Hong

Abstract: The purpose of the present paper is to prove some convergent criterions for random series sum o o a(n)q n=1 n and random integral integral oo a(t)dq, 0 t where a(.) : R --> R + + is a strictly decreasing function and (q), t t (- R , + a homogeneous process with independent increments. In particular, we obtain an extension of the logarithmic criterion due to Zakusilo [3].

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

Key words and phrases: -

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