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WROCŁAW UNIVERSITY
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Contents of PMS, Vol. 5, Fasc. 2,
pages 235 - 233
 

ON THE LIMIT BEHAVIOUR OF RANDOM SUMS OF INDEPENDENT RANDOM VARIABLES

K. S. Kubacki
D. Szynal

Abstract: The aim of the paper is to give some new results on weak convergence of random-indexed partial sums to infinitely divisible distributions. To this end we introduce new versions of the Lindeberg condition which allow us to strengthen or generalize results given in [5], [9], [11], [13], [14] and [15].

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

Key words and phrases: -

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