ON THE LIMIT BEHAVIOUR OF RANDOM SUMS OF INDEPENDENT
RANDOM VARIABLES
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: -